To find the distance between (17,3) and (17,−5), Marcia used the following equation. Is Marcia correct? Explain. D=|3−(−5)|=8

Answers

Answer 1

Answer:

Step-by-step explanation:

The formula for finding the distance between two points is expressed as shown

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate (17,3) and (17,−5), from the coordinates x₁ = 17, y₁ = 3, x₂ = 17 and y₂ = -5.Substituting the values given into the formula;

D = √(17-17)²+(-5-3)²

D = √0²+(-8)²

D = √64

D = 8

According to the result gotten, it can concluded that Marcia is correct although she didn't use the right expression to calculate her distance. She should have taken the square root of the sum of the square of difference in the coordinates axis according to the formula used.


Related Questions

Evaluate the following expression, let a = -1, b = 3, and c = 0
10a
lla +4

Answers

Answer:-10,-7

Step-by-step explanation:

10*-1=-10

11*-1+4=-7

Given A(1, 5) and B(3, 13), find AB.

Answers

[tex]\dag\bf\:A(x_1,y_1)=(1,5)[/tex]

[tex]\dag\bf\:B(x_2,y_2)=(3,13)[/tex]

We have to find distance between point A and point B[tex].[/tex]

[tex]\bigstar\:\boxed{\bf{AB=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}}}[/tex]

[tex]:\implies\tt\:AB=\sqrt{(3-1)^2+(13-5)^2}[/tex]

[tex]:\implies\tt\:AB=\sqrt{(2)^2+(8)^2}[/tex]

[tex]:\implies\tt\:AB=\sqrt{4+64}[/tex]

[tex]:\implies\tt\:AB=\sqrt{68}[/tex]

[tex]:\implies\tt\:AB=\sqrt{4(17)}[/tex]

[tex]:\implies\underline{\boxed{\bf{\red{AB=2\sqrt{17}\:unit}}}}[/tex]

1. A man pushes a lawn mower with a force of 30 lb exerted at an angle of 30° to the ground. Find the
horizontal and vertical component of the force.

Answers

Answer:

3

Step-by-step explanation:

The horizontal component of the force is 25.98 lb and the vertical component is 15 lb.

What is vector?

A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.

The sum of two vector quantities is always a vector quantity.

The sum of two vector quantities can vary from their scalar difference to their scalar addition.

Given that,

The force applied by the man is 30 lb.

The angle the force makes with ground is 30°.

For a vector A making angle x with the horizontal axis the horizontal and vertical component are given as,

The horizontal component is ACos(x)

And, the vertical component is ASin(x)

Thus, the horizontal and vertical component of the force are

Horizontal component = 30Cos(30°)

                                      = 30 × √3 / 2

                                      =  25.98

Vertical component = 30Sin(30°)

                                  = 30 × √3/2

                                  = 15

Hence, the horizontal and vertical components of the force are 25.98 lb and 15 lb respectively.

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Question 7 (1 point) If square PQRS with vertices P (2, 6), Q (6, 5), R (5, 1) and S (1, 2) is rotated 180 degrees, what are the coordinates of S' ? Blank 1: Blank 2: Blank 3: Blank 4:

Answers

Answer:

S'(-1, -2)

Step-by-step explanation:

Coordinates of the vertices of the square PQRS have been given as P(2, 6), Q(6, 5), R(5, 1) and S(1, 2)

Rule to rotate a point by 180° about the origin,

(x, y) → (-x, -y)

By this rule new coordinates of the image will be,

P(2, 6) → P'(-2, -6)

Q(6, 5) → Q'(-6, -5)

R(5, 1) → R'(-5, -1)

S(1, 2) → S'(-1, -2)

Therefore, coordinates of S' will be (-1, -2).

A wheel with a radius of 19 meters is moving forward at 164.95 meters per second. How fast is the wheel rotating in radians per second?

Answers

Answer:

8.68 radians per second.

Step-by-step explanation:

The circumference of the wheel is 2 π r

= 38π meters.

So that is 164.95 / 38π of full turns of the wheel.

1 turn of the wheel = 2π radians , so the answer is

(164.95 / 38π)  * 2π  

= 164.95 / 19

= 8.68 radians per second.

Mrs.Ruiz bought 4 14 pounds of sliced of ham for $17. At that rate, what is the cost of 1 pound of sliced ham

Answers

Answer:

Cost of 1 pound if sliced ham = $4

Step-by-step explanation:

Mrs. Ruiz bought 4 1/4 pounds of sliced ham for $17. At that rate, what is the cost of 1 pound of sliced ham?

Total pounds of ham bought= 4 1/4 pounds

Total cost = $17

what is the cost of 1 pound of sliced ham

Cost of 1 pound if sliced ham = Total cost of 4 1/4 sliced ham / 4 1/4

= $17 ÷ 17/4

= 17 × 4/17

= 4

Note:4 1/4 = 17/4

Cost of 1 pound if sliced ham = $4

Check:

4 1/4 pounds × $4 per pound

= 17/4 × 4

= $17

decrease 216 by 37 1/2%

Answers

Step-by-step explanation:

In this question we need to decrease 216 by [tex]37\dfrac{1}{2}\%[/tex] or 37.5 %.

For this, firstly find 37.5 % of 216.

[tex]37.5\%\ \text{of}\ 216=\dfrac{37.5}{100}\times 216\\\\=81[/tex]

Now subtracting 81 from 216 to find decrease of 216 by 37.5 %.

So,

216-81 = 135

Hence, 135 is the decrease of 216 by 37.5 %.

The percentage decrease of 216 by 37 1/2% be is 135

Given:

Original value = 216

Percentage decrease = 37 ½%

Decrease = 37 ½% of 216

= 75/2 ÷ 100 × 216

= 37.5 / 100 × 216

= 0.375 × 216

= 81

New value = Original value - Decrease

= 216 - 81

= 135

Therefore, the percentage decrease of 216 by 37 1/2% be is 135

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Write an expression to model the phrase:
Myles has $635 nd is earning $120 each
week as a lifeguard.

Answers

Answer:

[tex]Y= 120n+635[/tex]

Step-by-step explanation:

Alright!

we are expected to model the total amount of money Myles have\

firstly he has with him $635

and he is earning $120 weekly

Say the number of weeks he worked is given is n

and let the amount of money Myles will have after n weeks be y

hence we can now model the equation to represent how much Myles will have after n weeks

[tex]Y= 120n+635[/tex]

The expression is same as the equation for a straight line

i.e [tex]y= mx+c[/tex]

(12x - 1.7) - (17x + 6.7) =

Answers

Answer:

-5x-8.14 is the correct answer

Step-by-step explanation:

First distribute the terms

12x - 1.7 - 17x  -6.7 =

Then add/subtract similar terms

12x - 17x = -5x

-1.7 -6.7 = -8.14

so it's -5x -8.14

:)

Answer: -5x-8.4

Step-by-step explanation:

[tex]\left(12x-1.7\right)-\left(17x+6.7\right)[/tex]

remove the parentheses

[tex]12x-1.7-17x-6.7[/tex]

Simplify

Group like terms

[tex]12x-17x-1.7-6.7[/tex]

Add

[tex]12x-17x=-5x=[/tex]

[tex]-5x-1.7-6.7[/tex]

Subtract

[tex]-1.7-6.7=-8.4[/tex]

= [tex]-5x-8.4[/tex]

You work at a craft store that sells paint kits. The kits have 4 thin paintbrushes for every 6 thick brushes. What is
ratio of thick paintbrushes to thin paintbrushes? a.2:3
b.3:2
c.2:4
d.6:10
e.10:6

Answers

Answer:

b. 3:2

Step-by-step explanation:

thick paintbrushes : thin paintbrushes

6 : 4 (both can be divide by 2,so we simplifiy by dividing both with 2)

3 : 2

The solution is Option B.

The ratio of thick paintbrushes to thin paintbrushes is 3 : 2

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the equation be represented as A

Now , the value of A is calculated as

Let the number of thin paintbrushes in the kit be = x

The value of x = 4

Let the number of thick paintbrushes in the kit be = y

The value of y = 6

Now , the proportion is given by

The ratio of thick paintbrushes to thin paintbrushes = number of thick paintbrushes in the kit / number of thin paintbrushes in the kit

Substituting the values in the equation , we get

The ratio of thick paintbrushes to thin paintbrushes = 6 / 4

The ratio of thick paintbrushes to thin paintbrushes = 3 / 2

The ratio of thick paintbrushes to thin paintbrushes = 3 : 2

Therefore , the value of A is 3 / 2

Hence , the ratio of the paintbrushes is 3 : 2

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There are two 3-digit numbers $n$ having the property that $n$ is divisible by 11 and $\dfrac{n}{11}$ is equal to the sum of the squares of the digits of $n$. Find both values of $n.$ You may submit them in either order.

Answers

Answer:

550 and 803

Step-by-step explanation:

Let the number be N = abc

Then:

abc/11 = (a² + b² + c²) ⇒ abc = 11(a² + b² + c²)

There are:

1000 - 100 = 900 3-digit numbers

Out of 900 numbers:

1000/11 - 100/11 = 81 are divisible by 11

The easiest and simplest way is to try them all.

The trial reveals 550 and 803, so this is the answer.

I need to know what 1/5(6+3+1). And whatever is in the parentheses is to the second power

Answers

Answer:

20

Step-by-step explanation:

1/5(6+3+1)^2

PEMDAS says parentheses first

1/5(10)^2

Then exponents

1/5 *100

Then multiply

20

Answer:

[tex]\Huge \boxed{\mathrm{20}}[/tex]

Step-by-step explanation:

[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (6+3+1)^2[/tex]

Solve for the brackets or parenthesis first.

Adding the terms in the brackets or parenthesis.

[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (10)^2[/tex]

Solving for the exponent or power.

[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (100)[/tex]

Multiplying both terms.

[tex]\displaystyle \Rightarrow \frac{100}{5} \\ \\ \\ \\ \Rightarrow 20[/tex]

What is the value of the expression below when w equals
8?
W^2- 4w - 2

Answers

Answer:

When w =8. then...

8^2-4(8)-2.

64-32-2=30.

Answer:

Step-by-step explanation:

Plug in the value of w in the expression and use PEMDAS

w² - 4w - 2 = 8² - 4*8 - 2    {Need to calculate exponents}

                   = 64 - 4*8 - 2  {Now do multiplication}

                   = 64 -  32 - 2

                 =   32 - 2

                 = 30

e:f = 2:3 and f:g = 5:4 work our e:g​

Answers

Answer:

5/6

Step-by-step explanation:

e/f = 2/3

Then

e= 2f/3

f/g = 5/4

Then

g= 4f/5

So

e/g= 2f/3 / 4f/5 = 1/3 * 5/2 = 5/6

Answer:

5/6

Step-by-step explanation:

e/f = 2/3 After that e= 2f/3 f/g = 5/4 So then g= 4f/5 at last

e/g= 2f/3 / 4f/5 = 1/3 x 5/2 = 5/6

Examine the table of input (x) and output (y) values below. Is there a relationship between the input and output values? If so, write an equation for this relationship.

Answers

Answer:

y = 3x -1

Step-by-step explanation:

y = mx +/- b

To find the y-intercept, using the table, we look for when x = 0. In this question, when x=0, y = -1. Therefore the y-intercept is -1.

to find the slope (m), we just plug in an "x" value and "y" value, and solve for "m".

i.e.

2 = 1m - 1

3 = 1m

m = 3 = slope

If you use this with any of the other values you will get the same result.

I hope this helps!

-TheBusinessMan

-

Translate the sentence into an inequality.
A number y increased by 6 is less than or equal to - 15.

Answers

Answer:

y ≤ -21

Step-by-step explanation:

y+6≤-15

y≤-21

Hope this helps!

Answer: y + 6 <_ -15

- 6 -6

y <_ -21

∠A and ∠B are complementary angles. The measure of ∠A=4x° and the measure of ∠B=50°. Find m∠A. * i dont understand can someone help?

Answers

Answer:

m>a is 40

Step-by-step explanation:

4x + 50 = 90

4x = 40

x = 10

10*4 = 40

M>A = 40

Paul and Karina both collect old Nintendo video games. Paul has 72 video games so far and is collecting four each month. Karina has 120 video games so far and is collecting two each month. After how many months will Paul and Karina have the same number of video games? How many video games will each have?

Answers

Answer:

24 months

168 games

Step-by-step explanation:

72 + 4m = 120 + 2m

4m - 2m = 120 - 72

2m = 48

m = 48 : 2

m = 24 months

After how many months will Paul and Karina have the same number of video games ?

24 months

How many video games will each have ?

72 + 4×24 = 72 + 96 = 168 games

120 + 2×24 = 120 + 48 = 168 games

Hailey bought 10 chicken wings for $6. What was the cost of the wings in wings per dollar?

Answers

0.6 cents

$6/10wings per dollar = 0.6 cents

Please help

Marcus went to the county fair, where he paid to enter and was charged for each ride. This is modeled by the expression 2x + 7. Identify and interpret the constant in the expression. Explain.​

Answers

The constant is 7

The interpretation of this constant is Marcus paying to enter the county fair.

The temperature was 70 degrees. At noon, the temperature increased by 8 degrees. By evening, the temperature decreased by 8 degrees. What is the final temperature?

Answers

Answer:

The answer is 70 you would add the 8 degrees but them subtract it again

(1+√3) (3-√3)
[tex]simplify[/tex]

Answers

Answer:

  2√3

Step-by-step explanation:

Multiply these binomials in the usual way:

  (1 +√3)(3 -√3) = 1(3 -√3) +√3(3 -√3)

  = 3 -√3 +3√3 -3 = (3 -3) +√3(-1 +3)

  = 2√3

According to Euclidean geometry, a plane contains at least points that on the same line.

Answers

Answer:

According to Euclidean geometry,a plane contains at least THREE points that DO NOT LIE on the same line.

Step-by-step explanation:

Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.

According to Euclidean geometry, a plane contains at least; 3 Points

The 3 points; do not lie on the same line

In Euclidean Geometry, a plane is defined as a flat surface that extends infinitely in all directions. It further states that for any three non-collinear points, there exists exactly one plane passing through them.

Now, planes can either be parallel or they can possibly intersect each other in a line and the three collinear points must not lie on the same line

In conclusion, looking at the question we can say that a plane contains at least 3 points on the same line.

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Amovie ticket costs $10, and it costs an additional p dollars to buy a small popcorn. The total cost for 3 people to go to the Movie theater and each buy a popcorn is $42. How much does it cost for one person to buy a popcorn? It would cost $ for one person to buy a popcorn.​

Answers

Answer:

14

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

A movie ticket costs 10 dollars, and three people go.

10 x 3 = 30

42 - 30 = 12

The leftover money is for buying popcorn for each person.

12 / 3 = 4

So, it would cost 4 dollars for one person to buy a popcorn.


Plz help me I need so much help

Answers

Answer:

  see below

Step-by-step explanation:

We have to assume that the question is referring to the doubly-shaded length, the one that is 10 bright blue units long.

You can read the overall length of the shaded area as 5/4, from the markings.

For the next part, you need to count the number of units that are shaded bright blue (10) and the number that are shaded blue overall (15). As a fraction of those shaded blue overall, the ones shaded bright blue are 10/15 = 2/3.

So, the length shaded bright blue is 2/3 of the overall length of 5/4. It is represented by the product ...

  [tex]\boxed{\dfrac{2}{3}\times\dfrac{5}{4}}[/tex]

URGENT!

B is the midpoint of line segment AC. If AB = 4x + 1 and AC = 5x + 20, find the length of BC.

Answers

Answer: 25 units.

Step-by-step explanation:

Given: B is the midpoint of line segment AC.

[tex]\Rightarrow\ AB=\dfrac{AC}{2}[/tex]

If [tex]AB = 4x + 1[/tex] and [tex]AC = 5x + 20[/tex], then we have

[tex]4x+1=\dfrac{5x+20}{2}[/tex]

Multiply 2 on both sides, we get

[tex]2(4x+1)=5x+20\\\\\Rightarrow\ 8x+2=5x+20\\\\\Rightarrow\ 8x-5x=20-2\\\\\Rightarrow\ 3x=18\\\\\Rightarrow\ x= 6[/tex]

Now, AC = 5(6)+20 =30+20=50 units

Then, BC= [tex]\dfrac{50}{2}=25\text{ units}[/tex]  

Hence, the length of BC is 25 units.

What is the range of h?

Answers

Answer:

-3 ≤y≤6

Step-by-step explanation:

The range is the output values or the y values

The y values go from -3 to 6 including these values

-3 ≤y≤6

What are the coordinates of the point on the directed line segment from (-3, -9) to (4,5)

Answers

Answer:

(2, 1 )

Step-by-step explanation:

Using the Section formula

For endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n

Then coordinates of point are

[ [tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] ]

Here m = 5, n = 2, (x₁, y₁ ) = (- 3, - 9), (x₂, y₂ ) = (4, 5), thus partitioned point

= [ [tex]\frac{5(4)+2(-3)}{5+2}[/tex] , [tex]\frac{5(5)+2(-9)}{5+2}[/tex] ]

= [ [tex]\frac{20-6}{7}[/tex] , [tex]\frac{25-18}{7}[/tex] ]

= ( [tex]\frac{14}{7}[/tex] , [tex]\frac{7}{7}[/tex] )

= (2, 1 )

If their is 17 boys and 16 girls what is the percent of girl in the class

Answers

Answer:

48.484848 repeating   %

Step-by-step explanation:

The total number in the class is

17+16 = 33

Percent girls is girls/total = 16/33 =.48484848 = 48.484848 repeating   %

What does –5(–2) equal? I’ll give brainiest

Answers

Answer:

Um... positive ten.

Step-by-step explanation:

negative * negative= positive. So the answer is ten.

Answer:

10

Step-by-step explanation:

● -5 (-2)

● (-5) × (-2)

The product of two negative numbers is a positive number

● 5×2

● 10

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