The value of x is 4 for the isosceles triangle has a base that measures x+2 with legs that measure 4x-3 and 2x+5.
What is an isosceles triangle?Therefore, an isosceles triangle has two equal sides as well as two equal angles. An equilateral triangle is one in which all of its sides are equal, and a scalene triangle is one in which none of its sides are equal. The characteristics of an isosceles triangle are as follows: There is agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.
Here,
Since the adjacent sides of isosceles triangles are equal,
4x-3=2x+5
4x-2x=5+3
2x=8
x=4
The isosceles triangle has a base that measures x+2 and legs that measure 4x-3 and 2x+5, so x is equal to 4.
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You are asked to write an equation for the line of best fit for the scatter plot shown at the right without the use of a graphing calculator. What should you do first? Explain
Answer:
Find the slope between the points (1,2) and (9,12).
Step-by-step explanation:
If I was going to draw the line of best fit without a calculator, I would draw it including these two points. Once I had these two points, I would find the slope using these points.
imma lose all my points but someone PLS HELP ME OUT WITH THIS I really need it done ASAP PLS
increase the amount of the ingredients by 5 and by 20
If increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.
Given that, Ingredients: 2 teaspoons Worcestershire sauce
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Converted to Metric measurements : 10.35 g
Increased by 5 = 10.35 × 5
= 51.75 grams
Increased by 20 = 10.35 × 20
= 207 grams
Therefore, if increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.
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6) In Jim’s school, there are 3 girls for every 2 boys. There are 800 students in total. Using this information, how many students are girls?
A. 260
B. 320
C. 480
D. 390
Answer:
C) 480
Step-by-step explanation:
Ratio:
[tex]\sf \dfrac{3}{5}*800 = 3 * 160[/tex]
= 480
Solve x² + 5x - 14 = 0
By solving the equation x² + 5x - 14 = 0 get the value of x is 2 or -7.
Given,
In the question:
To solve the equation:
x² + 5x - 14 = 0
Now, According to the question:
x² + 5x - 14 = 0
Split the middle term into two terms :
x² - 2x + 7x - 14 = 0
Factor the first two terms and the last two terms separately
x(x - 2) + 7 (x -2) = 0
Factor out
(x - 2) (x + 7) = 0
Apply Zero Product Property
x - 2 = 0 or x + 7 = 0
x = 2 or x = -7
Hence, By solving the equation x² + 5x - 14 = 0 get the value of x is 2 or -7.
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Given f(x) = 19 - 4x|, find f (7)
The value of f(7) is 9 given that f(x) = |19 - 4x|
How to determine the value of f(7)?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Given: f(x) = |19 - 4x|
To find f(7), substitute x = 7 into f(x) = |19 - 4x|:
f(7) = |19 - 4(7)| = |19-28| = |-9| = 9
Note: The sign | | means absolute, the sign of any value inside it will be discarded and only the number is written
Therefore, f(7) is 9
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Can anyone write the equation of the graph?
Answer:
use absolute value
Step-by-step explanation:
absolute of x +5
a restaurant has special menu that features three choices of salad, six choices of entree, and eight choices of dessert. how many different three course meals could you order
72 three course meals we can order.
Question states that;
A restaurant offers a special menu with three salad options, six meal options, and eight dessert options.
Counting Principle:
The counting rule is another name for the Fundamental Counting Principle. It's a way to figure out how many possible outcomes there are in a probability word problem. Probability is the likelihood that an event will occur. An event's probability is always a number between 0 and 1. The probability of all events added together equals one.
We need to find how many three course meals we can order;
Total number of ways,
P(A) = 3 * 6 * 8
P(A) = 72
72 three course meals we can order.
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reimond needs to order crushed rock for a courtyard what is the cost of 4.5 t at $12.50 per tonne?
The cost of 4.5 tonnes of rock is $56.25
Given,
cost of 1 tonne of rock=$12.50
then
to find cost of 4.5 tonnes of rock, multiply 12.50 with 4.5,
cost of 4.5 tonnes of rock = 4.5* 12.50 = $56.25
Thus ,the cost of 4.5 tonnes of rock is $56.25.
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Your Spanish club is selling T-shirts for $20 each. The club has $400 in its account left over
from last year and needs to have a total of $2000 for a trip. How many T-shirts does your club
need to sell to reach its goal of $2000.
Had:
T-shirts:
otal:
Answer:
80
Step-by-step explanation:
first you need to substract 400 from 2000, then you divide the remaining by 20
Find the slope of the line that passes through (10, 6) and (3, 11).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-5/7
Step-by-step explanation:
know what to put here don't know how to explain!
24.15 as a two significant figures?
24.15 as two significant figures is 24.
What are significant figures?All significant figures are those that enhance the overall worth of the number's meaning. Numbers are frequently rounded to avoid repeating quantities that are not significant. When rounding, one must be careful not to lose precision. Sometimes the purpose of rounding numbers is simply to make them simpler.
What are the significant figure's rules?Use the following guidelines to decide which numbers are important and which are not:
1) A decimal number less than 1 is not affected by the zero to the left of it.
2) The placeholders for all trailing zeros are all insignificant.
3. There should be significance between non-zero numbers.
4) Every non-zero number has meaning.
5) A number is rounded if it has more digits than the necessary number of significant ones. For instance, 432,500 is rounded up to 433,000 to three significant digits using the half-up (regular) method.
6) Zeros at the end of numbers that are not important but are left in because eliminating them would change the number's value. The 000 in 433,000 in the example above cannot be removed without converting the number to scientific notation.
Given the number, 24.15
We have to convert it to two significant figures, so we will consider the only two figures before the decimal point. So, the number up to two significant figures is 24.
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Find where the line 2y - 3x - 7=0 intersects the:
i y-axis
ii x-axis
Answer:
i = 7/2
ii = -7/3
Step-by-step explanation:
The line intersects one of the two axis when the vale of the other axis is 0
When x=0:
2y - 7 = 0
2y = 7
y = 7/2
When y = 0
-3x - 7 = 0
-3x = 7
x= -7/3
Solve for v. Write your answers in simplified, rationalized form.
64v^3+1=0
Answer: v=-.25
Step-by-step explanation:
Step 1: Subtract 1 from both sides.
64v^3+1−1=0−1
64v^3=−1
Step 2: Divide both sides by 64.
64v^3 64 = −1 64
v^3= −1 64
Step 3: Take cube root.
v=( −1 64 )^(1/3 )
Step 4: There is no step 4 lol
v=−0.25
What are the like terms in the expression 8 + x squared minus 4 x cubed + 5 x + 2 x squared?
8, 5 x
x squared, 2 x squared
8, 5 x 2 x squared
x squared, Negative 4 x cubed, 2 x squared
In the expression, 8 + x squared minus 4 x cubed + 5 x + 2 x squared.
2x^2 and x^2 are the like terms
How to find the like terms in the expressionThe given expression is 8 + x squared minus 4 x cubed + 5 x + 2 x squared
This is rewritten as
8 + x^2 - 4x^3 + 5x + 2x^2
The terms in the expression are grouped as
constant terms: 8
terms with x variable : 5x
terms with x^2 variables: 2x^2 and x^2
terms with x^3 variables: 4x^3
Like terms refers to terms that are similar either as a constants or have same variables
Hence the like terms in the expression is 2x^2 and x^2
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Your faucet in your kitchen starts leaking. You put a bucket under it. The faucet is leaking at a constant rate. After 5 minutes, there is 300 mL of water in the bucket. What is the pattern rule?
Answer: 60mL per minute
Step-by-step explanation:
300/5=60
Can I please get brainly?
HELP ME!!! Need a new answer for this so it’s my “own”!!!
Question 1 (Essay Worth 10 points)
(06.01, 06.02 HC)
Part A: Create a fourth-degree polynomial in standard form. How do you know it is in standard form? (5 points)
Part B: Explain the closure property as it relates to polynomials. Give an example. (5 points)
Part A: polynomial in Standard form;-
bluef(x) = ax⁴ + bx³ + cx²+ dx + e
Part B: Closure property relates to polynomial;-
The polynomial's closer property for subtraction. When two polynomials of identical degrees with different leading coefficients are subtracted, a polynomial of the same degree is produced.
What is Polynomial?
A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.
A.
Any of the following can be the fourth degree polynomial with two terms:
f1(x) = ax⁴ + bx³
f2(x) = ax⁴ + cx²
f3(x) = ax⁴ + dx
f4(x) = ax⁴ + e
a ≠ 0 in all four instances.
Explanation. Because each of the aforementioned polynomials fi(x)-s can be written in the form of f(x) by setting blue0 equal to (c,d,e), (b,d,e), (b,c,e), and (b,c,d), respectively, each of the aforementioned polynomials is in standard form.
B.
The polynomial's closer property for subtraction. When two polynomials of identical degrees with different leading coefficients are subtracted, a polynomial of the same degree is produced.
Example.
Let r(x) be defined as a₁x³ + a₂x² + a₃x + a₄
s(x) is equal to b₁x³ + b₂x² + b₃x + b₄
where a ≠ 0 ≠ b and a ≠ b both belong to a set of real or complex numbers called ai and bi.
If this is how subtraction is defined, then
r(x) - s(x) = [a₁x³ + a₂x² + a₃x + a₄] - [b₁x³ + b₂x² + b₃x + b₄]
r(x) - s(x) = (a₁ - b₁)x³ + (a₂ - b₂)x² + (a₃ - b₃)x + (a₄ - b₄)
Given that (a₁ - b₁) ≠ 0, r(x) - s(x) is similarly a polynomial of fourth degree in this situation.
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A polygon has 7 sides. The interior angle measures are 131°, 119°, 125°, 133°, 125°, 138°, and x°. Find the value of x.
HELPPPP PLEASEEE ASAPP
Jacob distributed a survey to his fellow students asking them how many hours they spent on the Internet in the past day. He also asked them to rate their mood on a scale from 0,10, with ten being the happiest. A line was fit to the data to model the relationship.
Answer:
The answer is B. y = -x + 7.5.
Step-by-step explanation:
The slope is -1 and the y-intercept is 7.5.
PLEASE MARK AS BRAINLIEST!!!Use estimation or fraction multiplication to determine if your answer is reasonable. Calculate the product. 78.93 x 32.45
Answer:
2561.2785
Step-by-step explanation:
All you gotta do is calculate and times 78.93 x 32.45
rearrange the formula below to make 'a' the new subject:
[tex]c + \frac{1}{2}a^{2}b = d[/tex]
is the bottom answer correct for this question? :
[tex]a = \sqrt{2(\frac{d-c}{b} )}[/tex]
Step-by-step explanation:
c + 1/2 × a²b = d | - c on both sides
1/2 × a²b = d - c | ×2 on both sides
a²b = 2(d - c) | /b on both sides
a² = (2/b) × (d - c) | sqrt on both sides
a = sqrt(2(d - c)/b)
yes, the given answer is correct.
First, complete the story below so that it can be represented by the equation 5000-50x=4800-30x
Pool A started with 5000 liters of water, and 50 liters per minute are being (Drained out or Pumped back in)
Pool B started with 4800 liters of water, and 30 liters per minute are being (Drained out or Pumped back in)
The amount of water after x minutes is more in which pool? Pool A or Pool B?
The amount of water after x minutes is equal in both pools.
What is a Linear equation in one variable?
A univariate linear equation is an equation of the form ax + b = 0, where a and b are two integers, x is a variable, and there is only one solution.
For example, 2x+3=8 is a linear equation in one variable.
The given equation is 5000 - 50x = 4800 - 30x.
solving for 'x',
5000 - 50x = 4800 - 30x
5000 - 4800 = 50x - 30x
200 = 20x
x = 200/20
x = 10
The amount of water after 10 minutes in Pool A will be = 5000 - 50(10)
= 5000 - 500
= 450 liters
The amount of water after 10 minutes in Pool B will be = 4800 - 30(10)
= 4800 - 300
= 450 liters.
Hence, the amount of water will be the same in both pools.
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Evaluate the numerical expression.
7.5 × 6.6 ÷ 0.6 − 15.3
Responses
A 67.2
B 97.8
C −32.25
D 197.25
The required numerical expression is evaluated as 67.2. Option A is correct.
Given that,
An expression is given 7.5 × 6.6 ÷ 0.6 − 15.3, we have to evaluate the given expression.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
= 7.5 × 6.6 ÷ 0.6 − 15.3
Simplify,
= 7.5 × 11 - 15.3
= 82.2 - 15.3
= 67.2
Thus, the required numerical expression is evaluated as 67.2. Option A is correct.
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Write an equation that has a variable on both sides and x = -11
as a solution.
The equation that has x = -11 as the solution is given by -
y = x + 11
Write the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following equation that has a variable on both sides and x = -11 as a solution.
An equation of a straight line can be used to depict the problem given. We can write the equation as -
y = x + 11
Therefore, the equation that has x = -11 as the solution is given by -
y = x + 11
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f(x)=x²-5x - 9
Find f(-9)
Answer:
117
Step-by-step explanation:
f(-9)=-9^2-5(-9)-9
f(-9)=81+45-9
f(-9)=126-9
f(-9)=117
hopes this helps please mark brainliest
Solve for A in terms of I and P.
I=A–P
Answer:
I+P=A
Step-by-step explanation:
isolate a on 1 side
I=A—P
+P. +P
I+P=A
Hopes this helps please mark brainliest
Answer:
A=P+I
Step-by-step explanation:
make A the subject of formula
giving A= P+I
(DUE IN 2 HOURS PLEASE HELP) Find an equation for the line that passes through the points (5, 2) and (-4, 5).
Answer:
Y= -1/3x+11/3
Step-by-step explanation:
omg !!! please help so much !
Answer:
75
Step-by-step explanation:
15*3=45
6*5=30
45+30=75
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a flagpole has a height of 15 yards it will be supported by 3 cables edach of which is attached to the flagpole at a point 3 yards below the top of the pole and attached to the ground at a point that is 9 yards from the base of the pole find the total number of yards of cable that will be required
There are 45 yards of cable that will be required.
Let us find the total number of yards of cable that will be required.Since we have given that
Height of cable = 15 yards - 3 yards = 12 yards
Distance from pole = 9 yards
cable is the hypotenuse of the right-angled triangle.
So, it becomes,
[tex]c^{2} = b^{2}+p^{2}[/tex]
[tex]c^{2} = 12^{2}+9^{2}[/tex]
[tex]c^{2} = 144+81[/tex]
[tex]c^{2} = 225[/tex]
[tex]c = \sqrt{225}[/tex]
c=15 yards
Since the number of cables supported = 3
So, the number of yards of cable that will be required would be
= 3 x 15 = 45
Hence, there are 45 yards of cable will be required.
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Write 95% as a fraction or mixed number in simplest form.
Antonio has read at most 8 more books than Benji. If Benji has read 38 books, at most how many books has
Antonio read?