If y varies directly as x, find the constant of variation k and the direct variation equation for the situation.
y=2 when x= 10

Answers

Answer 1

Variation refers to differences in characteristics between individuals of the same species or between different genera or species. The formula is y = 0.25x.

What is meant by variation equation?A variation is a relationship between one set of values for one variable and another set of values for another variable. Variation in direct. If m is a nonzero constant and b = 0, then the function y = mx (often written y = kx) is a direct variation of the equation y = mx + b. If y varies directly as x and y = 6 when x = 2, the constant of variation is k = 3. As a result, the equation for this direct variation is y = 3x.The direct variation equation is a two-variable linear equation given by y = kx, where k is the constant proportionality. In a coordinate plane, the direct variation graph is a straight line.

Therefore,

y=0.25 x

the initial statement is y ∝ x

to convert to an equation multiply by k  the constant of

⇒ y=k x

to find k use the given condition

y=0.5 when x=2

[tex]$y=k x \Rightarrow k=\frac{y}{x}=\frac{0.5}{2}=0.25$$[/tex]

the equation is y = 0.25x

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Answer 2

The variation equation  is [tex]y=\frac{1}{5} x[/tex]

What do you mean by direct variation?If two quantities change by the same amount, they are said to follow a direct variation. As a result, when one quantity changes, the other follows suit, increasing when the first changes and decreasing when the first changes. To put it another way, two quantities are said to be directly proportional to one another if the ratio of the first to the second is a constant term. The coefficient or constant of proportionality is the name given to this constant quantity.The mathematical relationship between the two quantities in the direct variation formula makes it so that one of the variables is a constant multiple of the other. The sign "" is used to indicate that two quantities are directly proportional to one another or directly varying from one another. Assuming that x and y are two quantities that are directly varying, they are stated as follows: y∝ xThe direct variation formula is expressed as follows when the proportionality sign is omitted.

Calculation

Given, y =2 and x=10

we know the direct relation in y∝ x

so, y = kx, where k is the proportionality constant

2= k*10

k = [tex]\frac{2}{10} =\frac{1}{5}[/tex]

Therefore, the direct variation equation for this situation is [tex]y=\frac{1}{5} x[/tex]

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Related Questions

Don’t get how I can figure out the Explicit Equation from this

Answers

The four terms of the series will be equal to 14,20,26, and 32.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the equation for the series is given as, t(n) = 6n + 8. The series will be formed as,

t(n) = 6n + 8.

t(1) = 6 x 1 + 8 = 6 + 8 = 14

t(2) = 6 x 2 + 8 = 12 + 8 = 20

t(3) = 6 x 3 + 8 =  18 + 8 = 26

t(4) = 6 x 4 + 8 = 24 + 8 = 32

Therefore, the four terms of the series will be equal to 14,20,26, and 32.

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Assignment Sowe for x and y

3x² - 4y =-1 2x -4=1

plss help me with it ​

Answers

Answer: x=25/4 or 6.25, y=79/16 or 4.9375

Step-by-step explanation:

Normally, we would have to set up a system of linear equations, but in this case we can solve for x and plug in from there. x=5/2 or 2.5 when solving for the variable. Now we go to the second equation, plug for x, and solve for y. 5/2 times 5/2 is 25/4, multiplied by 3 is 75/4. Subtract 75/4 from -1, and divide both sides by -4.

~ ( ~ q → p) → ~ q is a tautology or not?

Answers

The proposition ~ (~ q ⇒ p) ⇒ ~ q represents a tautology, as it is true for all combinations of p and q.

Is a given proposition a tautology?

Propositions are constructions that contains a truth value, which are two according to classical logic (T - true, F - false). There are simple propositions and compound propositions. Compound propositions are formed by combining simple propositions and operators. There are the following operators:

∧ - Conjunction (operator "and")∨ - Disjunction (operator "or")~ - Negator (operator "not")⇒ - Implicator (operator "If-then")⇔ Double implicator (operator "if-only if")

A tautology is a compound proposition that is always true. We can prove whether a proposition is a tautology by the use of a truth table:

p        q      ~ q       ~ q ⇒ p        ~ (~ q ⇒ p)       ~ (~ q ⇒ p) ⇒ ~ q

T        T        F              T                      F                           T

T        F        T              T                      F                           T

F        T        F              T                      F                           T

F        F        T              F                      T                           T

The proposition ~ (~ q ⇒ p) ⇒ ~ q is a tautology.

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A company has 35% and 3% hydrogen peroxide solutions. They need an 8 L container with a 12% concentration of hydrogen peroxide. How much of the 3% hydrogen peroxide solution should they include in the container?​

Answers

Answer:

2 L

Step-by-step explanation:

If the first one is 12% then the 3% one would be 2L because of algebra

5.75 liters of 3 percent hydrogen peroxide solution are included by the company in the container.

What is the percentage?

A measurement used to determine a number's value out of 100 is the percentage.

Hydrogen peroxide solutions in various containers have concentrations of 35% and 3%.

Since the corporation wants an 8-liter container with a 12% hydrogen peroxide concentration.

Use mixture and allegation property,

35           3

       12

9       :       23

Total quantity = 23x + 9x = 32x

Since, the company wants 8 liters,

therefore, 32x = 8 ⇒ x = 1/4

3.5 percent hydrogen peroxide solution will be equal to = 23x = 23/4 = 5.75. 5.75 liters of 3 percent hydrogen peroxide solution are needed.

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Which expression is equivalent to 3x – 5?

Answers

Answer:

2x – 4 – 1 + x

Step-by-step explanation:

Answer:

Step-by-step explanation:  -15

Simon uses 121 one-inch tiles to make his square mosaic. What is the length of one side of his mosaic?

Answers

11 inches, you just take the square root of 1213

August hosted two dinner parties for his friends. Twenty guests attended the first party, and twenty-seven guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?

A.
35%
B.
30%
C.
65%
D.
70%

Answers

Answer:

A 35%

Step-by-step explanation:

take the higher number (27) and subtract the smaller number (20) from it. there's your difference. afterwards, take the difference (7) and divide it by the smaller number (20). this gives you .35. convert it into percentage move the decimal point to the right two spots and slap a percentage sign onto it (shift+3). giving you 35%, or A.

Answer:

a) 35%

Step-by-step explanation:

Given information,

→ 20 guests attended the 1st party, and 27 guests attended the 2nd party.

Now we have to,

→ find the % increase of number of guests from first party to second party.

Let's solve the problem,

→ ((27 - 20)/20) × 100

→ (7/20) × 100

→ 0.35 × 100

→ 35%

Hence, the answer is 35%.

1. Given segment AB with A(-3, 2) and B (5, -4). If point P lies on segment AB such that the ratio of
AP to PB is 2:6. Find the coordinates of p

Answers

The coordinates of P is ( -1 , 0.5) .

What is section formula ?

  We can get a point's coordinates using the section formula when it divides a line segment externally or internally in a certain ratio. It is a useful tool for determining the coordinates of the point that divides the line segment in a particular ratio. The midpoint of a line segment can be found using this section formula, and it can also be used to derive the midpoint formula.

Here Using the section formula, if a point P(x,y) divides the line joining the points A[tex](x_1,y_1)[/tex] and B[tex](x_2,y_2)[/tex]  in the ratio of m:n then,

=>  (x,y) = [tex](\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n} )[/tex]

Here A[tex](x_1,y_1)[/tex] =( -3,2) and  B[tex](x_2,y_2)[/tex]  = (5,-4)  and m:n = 2:6

Then,

=> ( x,y ) = [tex](\frac{2(5)+6(-3)}{2+6} ,\frac{2(-4)+6(2)}{2+6})[/tex]

=> (x,y) = [tex](\frac{10-18}{8},\frac{-8+12}{8} )[/tex]

=> (x,y) = [tex](\frac{-8}{8} ,\frac{4}{8})[/tex]

=> (x,y) = (-1,0.5)

Hence the coordinates of P is (-1 , 0.5) .

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About 53% of adults in the US have traveled with a commercial airline. A random sample of 400 adults was selected
and whether they have traveled with a commercial airline was recorded.
Calculate the standard deviation of the sampling distribution of
O 0.00062
O 0.00086
* 0.00125
O 0.02495
B
M
B
1


T
U
Done

Answers

question c is the correct answer

The standard deviation of the sampling distribution is 0.01767.

What is a standard deviation?

Standard deviation is a measure of the amount of variability or spreads in a set of data.

It is calculated as the square root of the variance and is often denoted by the symbol σ (sigma) for a population and s for a sample.

We have,

Given that the sample size is sufficiently large (n=400) and the population proportion is known, we can use the formula for the standard deviation of the sampling distribution of the sample proportion, which is:

[tex]\sigma_{\hat{p}} = \sqrt((p (1 - p)) / n)[/tex]

where p is the population proportion and n is the sample size.

In this case,

p = 0.53 (as given in the problem) and n = 400.

Substituting these values into the formula, we get:

[tex]\sigma_{\hat{p}} = \sqrt((0.53 (1 - 0.53)) / 400)\\\sigma_{\hat{p}} = \sqrt((0.53 0.47) / 400)\\\sigma_{\hat{p}} = \sqrt(0.0003121)\\\sigma_{\hat{p}} = 0.01767[/tex]

(rounded to five decimal places)

Therefore,

The standard deviation of the sampling distribution is 0.01767.

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations of the given inequality -3(2x - 5) < 5(2 - x) include the following:

-6x + 15 < 10 - 5xAn open circle is at 5 and a bold line starts at 5 and is pointing to the right.

What is an inequality?

An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numbers and variables in an algebraic equation, especially based on any of the following inequality symbols:

Greater than (>).Greater than or equal to (≥).Less than (<).Less than or equal to (≤).

For this exercise, we would evaluate and simplify the given inequality so as to enable use determine its solution as follows:

-3(2x - 5) < 5(2 - x)

Opening the bracket, we have:

-6x + 15 < 10 - 5x (correct representation)

Rearranging the algebraic equation by collecting terms, we have:

-6x + 5x < 10 - 15

-x > -5

x > 5 (correct representation)

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Teddy and Henry both bought a used car on the same day. Teddy's used car has
4,298 miles on it already, and he drives 426 miles per month. Henry's car has 6,129
miles on it already, and he drives 223 miles per month. After how many months will
each car have the same nulaber of miles on it?

Answers

After 9 months each car will have the same number of miles on it.

What is a linear equation?

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Here,

Let miles per month be x.

then, by a linear equation, we get

4298 + x(426) = 6129 + x(223)

203x = 1831

x = 9 months

Hence, after 9 months each car will have the same number of miles on it.

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Solve for x. Enter the solutions from least to greatest. (x + 6)^2 - 16=0 lesser x = greater x =

Answers

Answer:

x= -2, -10

Step-by-step explanation:

(x+6)^2-16=0

(x+6)(x+6)-16=0

x^2+6x+6x+36-16=0

x^2+12x+20=0

10+2=12

10(2)=20

(x+2)=0

(x+10)=0

x= -2, -10

Birdseed costs ​$0.67 a pound and sunflower seeds cost ​$0.97 a pound. Angela​ Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for ​$0.79 per pound. How many pounds of each type of seed should she​ use?

Answers

All the coordinates on the line represent the possible quantities in pounds which she can take to prepare the mixture.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Birdseed that costs ​$0.67 a pound and sunflower seeds that cost ​$0.97 a pound. Angela​ Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for ​$0.79 per pound.

Assume that she used [x] pound and [y] pound of each type. We can write -

0.67x + 0.97y = 0.79 x 30

0.67x + 0.97y = 23.7

Plot the graph of this function. All the coordinates on the line represent the possible quantities in pounds which she can take to prepare the mixture.

Therefore, all the coordinates on the line represent the possible quantities in pounds which she can take to prepare the mixture.

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Which expression represents the number of tiles on Wendy's kitchen floor?

Wendy lays rows of 8 tiles each to cover her kitchen floor. Use t
for the number of rows.
t−8

8×8t

8t

8+t

Answers

The expression that represents the number of tiles on Wendy's kitchen floor is B. 8 × 8t.

What is an expression?

An expression refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Wendy lays rows of 8 tiles each to cover her kitchen floor.

Let t = the number of rows.

Therefore, the number of tiles on Wendy's kitchen floor will be:

= 8 × 8t.

Therefore, the correct option is B.

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Write an exponential function in the form y = ab^x that goes through points (0, 14)
and (4,8750).

Answers

The exponential function will be written as y = 14⁰.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given exponential function is [tex]y = ab^x[/tex]. The equation of the exponential function passing through the point is,

[tex]y = ab^x \\[/tex]

14 = ab⁰

a = 14

The equation will be written as,

y = 14b⁰

y = 14⁰

Therefore, the exponential function will be written as y = 14⁰.

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In a factory, 40% of k liters of acid are added to 60% of w liters of water.
Express the total volume of the solution as an algebraic expression. Pls help

Answers

Answer: (0.4k+0.6w)

Step-by-step explanation:

the answer would be (0.4k+0.6w) Since we do not know the values of k nor w, their coefficients cannot be added together.

The total volume of the solution as an algebraic expression is

0.4k + 0.6w.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount of acid added to the solution = 40% of k  

Amount of water added to the solution= 60% of w

Now,

The total volume of the solution.

= 40% of k + 60% of w

= 40/100 x k + 60/100 x w

= 0.40k + 0.60w

Thus,

The volume is 0.4k + 0.6w.

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There are 4 green apples and 7 red apples in a basket.
(a) What is the ratio of all apples in the basket to red apples?
0
(b) What is the ratio of green apples to all apples in the basket?
0

Answers

Answer:

1) 7:4

2) 11: 7

Step-by-step explanation:

Express the number as a ratio of integers.
0.46 = 0.46464646

Answers

Answer:

3.45

Step-by-step explanation:

this is how it is supposed to be

Lets sets A and B be defined as follows:
A= {25, 26, 27, 28, 29}
B is the set of integers greater than or equal to -6 and less than or equal to 1.
(picture attached below)

Answers

a) The value  sets of n(A) = 5, n(B) = 8

b)  33 ∈ A is false, -4 ∈ B is true, 25 ∈ A is true, 5 ∉ B is true.

What is set?

Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4} is a set.

A = { 25, 26, 27, 28, 29}

B ( is greater or equal to -6 and equal to 1) = { -6, -5, -4, -3, -2, -1, 0, 1}

n(A) = number of elements in A which is 5 and n(B) = 8

33 ∈ A The symbol ∈ means element of. so 33 is not an element of A.

-4 is an element of B so it is true, -4 ∈ B is true

25 ∈ A is true because 25 is an element of A

5 ∉ B is true because 5 is not an element of B

In conclusion, n(A) = 5, n(B) = 8

-4 is an element of B so it is true, -4 ∈ B is true

25 ∈ A is true because 25 is an element of A

5 ∉ B is true because 5 is not an element of B

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equation for the perpendicular bisector of the line segment whose endpoints
are (-9, 3) and (-3, -1).

Answers

Equation for the perpendicular bisector of the line segment is  

2y = 3x +20.

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector.

What is perpendicular bisector?

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other terms, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle.

Given coordinates of the endpoints of a line segment  (-9, 3) and (-3,-1).

In order to find the equation of perpendicular line, we need to find the slope between given coordinates.

Slope between  (-9, 3) and (-3, -1). :

slope = [tex]\frac{-1-3}{-3+9} =\frac{-2}{3}[/tex]

Slope of the perpendicular line is reciprocal and opposite in sign.

Therefore, slope of the perpendicular line = 3/2

Now, we need to find the midpoint of the given coordinates.

[tex]Mid points : \\x= \frac{ -9-3}{2} =-6\\ y= \frac{3-1}{2} = 1\\ pint = (-6,1)[/tex]

Let us apply point-slope form of the linear equation:

y-y1 = m(x-x1)

y - 1 = 3/2 (x + 6)

2y = 3x +20

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Solve the value of (a-b)^2 given that a^2+b^2=15 and ab=3.

Answers

Answer:

(a - b)² = 9

Step-by-step explanation:

Given

a² + b² = 15,ab = 3.

Find

Value of (a - b)²

Solution

Use identity:

(a - b)² = a² - 2ab + b²

Substitute values:

(a - b)² = a² + b² - 2ab = 15 - 2*3 = 15 - 6 = 9

Answer:

(a - b)² = 9

Step-by-step explanation:

Expand (a - b)²:

[tex]\begin{aligned}\implies (a-b)^2&=a^2-2ab+b^2\\&=a^2+b^2-2ab\end{aligned}[/tex]

Given:

a² + b² = 15ab = 3

Substitute the given values into the expanded equation:

[tex]\begin{aligned}\implies (a-b)^2&=a^2+b^2-2ab\\&=15-2(3)\\&=15-6\\&=9\end{aligned}[/tex]

Therefore, (a - b)² = 9.

a bag with 2/3 pounds of peanuts can make 1/8 pounds of peanut butter how many pounds of peanuts would be needed to make one pound of peanut butter for middle school

Answers

The required pounds of peanut that can make one pound of peanut butter is given as 5 1/3

How to solve for the quantity

If  2/3 pounds of peanut = 1/8 pounds of peanut butter

? quantity of peanut = one pound of peanut butter

This would be better expressed in numbers as

2/3 = 1/8

? = 1

To solve for this , we would have to cross multiply

such that we would have

2/3 = 1/8?

to get the unknown, we have to divide through by 1/8

2/3 ÷ 1/8 = unknown

2/3 x 8/1

= 16/3

= 5 1/3

Hence the required pound that would be needed to make the peanut butter is given as 5 1/3

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Please refer to picture

Answers

Using the corresponding angle theorem, the value of x is 15 and y is 12.

In the given question we have to find the value of x and y.

From the graph we can see that

From the corresponding angle theorem

4x+2=62

Subtract 2 on both side, we get

4x=60

Divide by 4 on both side, we get

x=15

So the value of x is 15.

Similarly from the corresponding angle theorem

12y=144

Divide by 12 on both side, we get

y=12

So the value of y is 12.

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I need help answer please

Answers

What is the problem????

12u–9u–5u+13= -5

find u

Answers

To solve this, we combine like terms. Our equation becomes:

-2u + 13 = -5

Now to subtract both sides by 13 to find that:

-2u = -18

Finally, we divide both sides by the coefficient and find that:

u = 9

I’m doing my geometry homework and don’t remember the formula or way to solve the lengths of a triangle side with graph points. How do I solve both parts of #1?

Answers

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ E(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad F(\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill EF=\sqrt{(~~ 3- 2~~)^2 + (~~ 1- 3~~)^2} \\\\\\ ~\hfill EF=\sqrt{( 1)^2 + ( -2)^2} \implies \boxed{EF=\sqrt{ 5 }}[/tex]

[tex]F(\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1}) ~\hfill FD=\sqrt{(~~ -1- 3~~)^2 + (~~ -1- 1~~)^2} \\\\\\ ~\hfill FD=\sqrt{( -4)^2 + ( -2)^2} \implies \boxed{FD=\sqrt{ 20 }} \\\\\\ D(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad E(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill DE=\sqrt{(~~ 2- (-1)~~)^2 + (~~ 3- (-1)~~)^2} \\\\\\ ~\hfill DE=\sqrt{( 3)^2 + (4)^2} \implies DE=\sqrt{ 25 }\implies \boxed{DE=5} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]E(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad F(\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}} \implies \cfrac{ -2 }{ 1 } \implies - 2 \\\\[-0.35em] ~\dotfill[/tex]

[tex]F(\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{3}}} \implies \cfrac{ -2 }{ -4 } \implies \cfrac{1 }{ 2 } \\\\[-0.35em] ~\dotfill[/tex]

[tex]D(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad E(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{3 +1}{2 +1} \implies \cfrac{4 }{ 3 }[/tex]

AB=18cm

BC=18cm

AC=16cm

What is the corresponding angles and sides?

Answers

The angle measurements are 5.38°, 87.31° and 87.31°.

What is triangle?

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given are the sides of triangle as AB = 18cm, BC = 18cm, AC = 16cm.

The given triangle is a isosceles triangle with two sides equivalent. Angles opposite to these sides will be equal. So, we can write -

2∠x + ∠y = 180°

from the figure, it can be seen that angle B is 5.38 degrees.

2∠x + 5.38 = 180

2∠x = 174.62

∠x = 87.31°

Therefore, the angle measurements are 5.38°, 87.31° and 87.31°.

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A student requests a loan for $1178.80. The monthly payment of the loan is $42.10. So far, the student has paid $547.30. How many
more monthly payments must be maid to pay off the loan?

Answers

The number of months required to pay off the loan will be 15.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a student requests a loan for $1178.80. The monthly payment of the loan is $42.10. So far, the student has paid $547.30.

The number of the months will be calculated as,

N = ( 1178.8 - 547.30) / 42.10

N = 631.5 / 42.10

N = 15

Therefore, the number of months required to pay off the loan will be 15.

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Describe in words where the square root of 50 minus 10 would be plotted on a number line.

Between −3 and −2, but closer to −3
Between −3 and −2, but closer to −2
Between 6 and 7, but closer to 6
Between 6 and 7, but closer to 7

Answers

The required value lies Between 6 and 7, but closer to 6. Option C is correct.

Given that,
The square root of 50 minus 10 would be plotted on a number line.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

According to the question,
= √[50-10]
= √40
= 6.32
Which is closer to 6.

Thus, the required value lies Between 6 and 7, but closer to 6. Option C is correct.

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71,72×35,36 =2536.0192
give your answer to 2 decimal places ​

Answers

Answer:

the answer to 2dp is 2536.02

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