Triangle J is shown below. James drew a scaled version of Triangle J using a scale factor of 4 and labeled it
Triangle K
Triangle J
What is the area of Triangle K?

Answers

Answer 1

Answer:

160 not 16

Step-by-step explanation:

Answer 2
Final answer:

The area of Triangle K is 4 times the area of Triangle J.

Explanation:

The area of Triangle K can be determined by using the scale factor of 4. Since the scale factor determines how lengths are scaled, the area of a figure is scaled by the square of the scale factor. In this case, the scale factor is 4, so the area of Triangle K will be 4 times the area of Triangle J.

Let's say the area of Triangle J is A. Then, the area of Triangle K will be 4A.

Therefore, the area of Triangle K is 4 times the area of Triangle J.


Related Questions


HI I NEED HELP IVE BEEN DOING HOMEWORK FOR 6 HOURS ummmmm anyways, how do i express this (y^3•y^6 - in picture) in exponential form? i’m stupid so it would mean a lot

Answers

y^3 = y * y * y

y^6 = y * y * y * y * y * y

Answer:

Step-by-step explanation:

Show that the slope of the segment with the endpoints ( 1/x ,1 )and ( 1/y, y/x ) does not depend on x. Provide your complete solutions and proofs in your paper homework and respond to questions or statements online.

Answers

Answer:

Step-by-step explanation:

Givens

y2 = y/x

y1 = 1

x2 = 1/y

x1 = 1/x

Formula

m = (y2 - y1) / (x2 - x1)

Solution

m = (y/x - 1) / (1/y - 1/x)

m = ( (y - x)/x ) / ((x - y)/xy)

m = (-(x - y) / x) / ( (x - y) / xy)

Invert the denominator and multiply

m = ( - (x - y) / x ) * x*y / (x - y)      Notice x - y cancels.

m = ( - 1 / x ) * (x*y)                        Notice the xs will cancel.

m = ( - 1 / y)                                   There are no xs anywhere. The slope is - 1/y

Answer: Hello there!

If you have the set of points (x1, y1) and (x2, y2), the slope of the segment whit this endpoints is:

[tex]a = \frac{y2 - y1}{x2 - x1}[/tex]

Now, we have the endpoints (1/x, 1) and (1/y, y/x), the slope of this segment is:

[tex]a = \frac{y/x - 1}{1/y - 1/x}[/tex]

Let's simplify it:

[tex]\frac{y/x - 1}{1/y - 1/x} = \frac{(y-x)/x}{(x - y)/x*y} = \frac{\frac{y-x}{x} }{\frac{-(y-x)}{y*x} }= y*\frac{\frac{y-x}{x} }{\frac{-(y-x)}{x} }  = y*(-1) = -y[/tex]

Then the slope of the segment is a = -y, and it does not depend of x

Tiffany rented a canoe at the park for a fixed charge of $2.50 plus $1.50 per hour. She wants to stay out on the
water as long as possible,
How many hours can she use the boat and spend a maximum of $7.00
2.5 hours
3 hours
4 hours
4.5 hours

Answers

Answer:

  (b)  3 hours

Step-by-step explanation:

You want the amount of time Tiffany can rent a canoe if her charges are $7, calculated as $2.50 + 1.50 per hour.

Equation

An equation for the time Tiffany can rent is ...

  cost = fixed charge + hourly charge × hours

  7 = 2.50 + 1.50 × hours . . . . . . use the given numbers

  4.50 = 1.50 × hours . . . . . . . . . subtract 2.50

  3 = hours . . . . . . . . . . . . . divide by 1.50

Tiffany can use the boat for 3 hours if she can pay $7 for rental.

What is 12 divided by 3/4

Answers

The rule for division by a fraction is "change to multiplication by the reciprocal."

 

So you want(4/3)(12) which is 4(4) = 16

[tex]\bf 12\div \cfrac{3}{4}\implies \cfrac{12}{1}\div\cfrac{3}{4}\implies \cfrac{\stackrel{4}{~~\begin{matrix} 12 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\cdot \cfrac{4}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 16[/tex]

Which is a better deal crayola crayons $6.97 for 120 crayons or rose art crayons $1.53 for 24?

Answers

Answer:

Crayola crayons for 6.97 dollars

Step-by-step explanation:

This is because there would only by 78 crayons in the other crayola box. I know this because you divide 120 by  1.53

Probs wrong but I tried

Answer:

6.97 for 120

Step-by-step explanation:

if you divide the number of crayons in the package by the amount of money you pay for it, they it shows you how many crayons you will get for one dollar. for the 120 for 6.97 its 17 crayons for a dollar and for the 24 for 1.53 its 12 for a dollar

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Temperature (degrees F) 49 55 52 46 47 42 38 Julia measured the high temperature in her town for one week. Using the chart above, find the mean absolute deviation for the high temperatures. Round your answer to the nearest tenth. Be sure to show your work for finding: the mean of the set of data the distance of each number from the mean the mean absolute deviation

Answers

Answer:

[tex]4\dfrac{2}{7}[/tex]

Step-by-step explanation:

How to calculate the mean absolute deviation:

Step 1: Calculate the mean.

[tex]\text{Mean}=\dfrac{49+55+52+46+47+42+38}{7}=47[/tex]

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

[tex]\begin{array}{ccccccc}\text{Sun}&\text{Mon}&\text{Tue}&\text{Wed}&\text{Thu}&\text{Fri}&\text{Sat}\\49&55&52&46&47&42&38\\2&8&5&1&0&5&9\end{array}[/tex]

Step 3: Add those deviations together.

[tex]\sum|\text{mean}-x_i|=2+8+4+1+0+5+9=30[/tex]

Step 4: Divide the sum by the number of data points.

[tex]\text{MAD}=\dfrac{\sum|\text{mean}-x_i|}{n}=\dfrac{30}{7}=4\dfrac{2}{7}[/tex]

Answer:

4 2/7

Step-by-step explanation:

Divide each term in the equation –3y = –6x + 15 by –3 to solve for y. What is y?

A. y = -2x -5
B. y = -2x + 5
C. y = 2x - 5
D. y= 2x + 5

Answers

Y= 2x - 5
Explanation. Negative divided by negative is a positive and a positive divided by a negative is a negative.

Answer:

C. y = 2x - 5

Step-by-step explanation:

–3y = –6x + 15

____ _________

–3 –3

y = 2x - 5

I am joyous to assist you anytime.

if she could have run 400 meters at the same rate as she ran 100 meters, would she have broken the record? Find the difference between her time for 400 meters and the record time.​

Answers

Answer:

Step-by-step explanation:

It appears i cant answer your question but what i can do is provide this paragraph as a trade for points. Appreciate your help. :)

find endpoint with given endpoint and midpoint

Answers

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

123,608,902.904.Written in words​

Answers

Answer:

One hundred and twenty three million six hundred and eight thousand nine hundred and two point nine hundred and four. Hope this helps you!

A new crew of painters takes two times as long to paint a small apartment as an experienced crew. together, both crews can paint the apartment in 4 hours . how many hours does it take the experience crew to paint the apartment

Answers

Answer:

Step-by-step explanation:

Let the inexperienced crew do the apartment in x hours.

Therefore it takes the experienced crew x/2 = 0.5x hours to do the same place.

x + 0.5x = 4 hours

1.5x = 4 hours

x  =  4/1.5

x = 2.67 hours.

So the inexperienced crew does the job in 2.67 hours.

The experienced crew can do it 1/2 the time which is 1.335

Total time = 4 hours.

Answer:

4 hours

Step-by-step explanation:

I got it correct so...

17_2_3_8=3 insert + - × or ÷ symbols to make each statement true​

Answers

Answer:

17-2*3-8=3

Step-by-step explanation:

We have given:

17_2_3_8=3 insert + - × or ÷ symbols to make each statement true​?

Solution:

We will insert multiplication sign between 2 and 3 and then subtract all the terms

17-2*3-8=3

We will solve it according to the DMAS rule:

DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction. Without DMAS rule all mathematical equations will come up with different answers.

Lets solve the expression and check whether the L.H.S = R.H.S

17-2*3-8=3

17-6-8=3

11-8=3

3 =3

Be sure to multiply first and then subtract

⇒You can also insert addition sign in place of multiplication. It will give the same answer

Answer:

17 - 2 × 3 - 8 = 3 ⇒ (- , × , -)

Step-by-step explanation:

Lets revise the order of operation

# Multiplication and Division which comes first from left to right

# Addition and Subtraction which comes first from left to right

Lets explain how to solve the problem

17 __ 2 __ 3 __ 8 = 3

We want to use + , - , × or ÷ symbols to make the statement true

Lets try to find the correct operations

∵ The answer is smaller than all the numbers in the statement

∴ There is subtraction

∵ 17 - 2 = 15

∵ 15 - 3 = 12

∵ 12 - 8 = 4 which is not the answer

Then lets multiply 17 , 2 and multiply 3 , 8 and subtract their results

∵ 17 × 2 = 34

∵ 3 × 8 = 24

∵ 34 - 24 = 10 which is not the answer

Then lets multiply 2 , 3 and then subtract the result from 17 and then

subtract 8 from the last result

∵ 2 × 3 = 6

∵ 17 - 6 = 11

∵ 11 - 8 = 3 which is the answer

17 - 2 × 3 - 8 = 3

The symbols are -  , × ,  -

Jogging is one of the few sports that has been consistently increasing over the past few years. The number of people jogging​ (in millions) from the years 2000 to 2009 is given by the equation y equals x plus 16​, where x is the number of years after 2000.
a. Use this equation or a graph of it to complete the ordered pair ​(2​, ​ ).
b. Write a sentence explaining the meaning of the answer to part​ (a).
c. If this trend​ continues, how many joggers will there be in 2023​?

Answers

Answer:

a. The ordered pair is (2 , 18)

b. The number of people jogging in year 2002 was 18 millions

c. There will be 39 millions joggers in year 2023

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation y = x + 16 represents the number of people jogging

   in millions from year 2000 to 2009 where y is the number of people

   and x is the number of years after 2000

- That means at year 2000 the value of x = 0 and the number of people

   jogging was 16 millions

- The equation represented graphically by line

a.

- The ordered pair (2 , ?) means x = 2 and we need to find y when x = 2

- Substitute x by 2 in the equation

∵ y = x + 16

∵ x = 2

∴ y = 2 + 16 = 18

* The ordered pair is (2 , 18)

b.

∵ y represents the number of people jogging in millions

∵ x represents the number of years from year 2000

- That means the number of people jogging in year 2002 was 18

  millions

* The meaning of the answer of part (a) is :

  The number of people jogging in year 2002 was 18 millions

c.

-  If this trend​ continues means the equation will be the same for years

   after 2009

∵ In year 2023 ⇒ x = 23

∵ y = x + 16

∴ y = 23 + 16 = 39

* There will be 39 millions joggers in year 2023

Probably a dumb question but how can I solve this without using a calculator? The answer when using a calculator is 0.83 so how can I get that answer without using a calculator?

Answers

Answer:

[tex] \frac{25}{30} = .83[/tex]

set it up in an old-fashioned way

using the division method. 30 on the outside and 25 on the inside

Answer:

The answer is 0.833333333 but, to nearest hundredth place is it 0.83.

Step-by-step explanation:

I don't know how they call it in your school but, what we are going to do right now is called long division.

The mass would be the dividend (25)  and the volume (30) would be the divisor and the density would be the quotient.

2X + 4 = 14
what is X

Answers

Hello!

2X  + 4 = 14

X = 5

2 * 5 = 10

10 + 4 = 14

I hope this helps, and have a nice day!

In order to get the answer to this question you will have to subtract four on both sides then divide ten by two to get your answer.

[tex]2x+4=14[/tex]

[tex]-4 -4[/tex]

[tex]14-4=10[/tex]

[tex]2x=10[/tex]

[tex]10\div2=5[/tex]

[tex]x=5[/tex]

Therefore the answer is "x=5."

Hope this helps

What is the value of x?

x + 1/3 = 9

Enter your answer in the box in simplest form.

Answers

Answer:

x= 8 2/3

Step-by-step explanation:

subtract 1/3 from both sides. 9-1/3 is 8 and 2/3.

X = 8 2/3 because you need to find out what adds to 1/3 to equal 9 so basically I did 9 - 1/3 and got 8 2/3.

Perpendicular to y=1/2-1, x-intercept at4

Answers

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo  1/2 would change into 2/1   which is 2 and we would addd the negative sign so

Y=-2x+4

Answer:

the desired equation is y = -2x + 8.

Step-by-step explanation:

Given a line with slope 1/2, we find the negative reciprocal of that to obtain the slope of a line perpendicular to the given line:  m = -2.

Recall that at an x-intercept, y = 0.  Here we're told that the x-intercept is (4, 0).  Therefore, y = mx + b becomes 0 = -2(4) + b, or b = 8.

Then the desired equation is y = -2x + 8.

Please help me!!!! Number 8 and 9.

Answers

Number 8:
m1 = 120°
m2 = 60°
m3 = 120°
m4 = 60°
m5 = 60°
Number 9:
m1 = 100°
m2 = 70°

The following system has no solution.
x+y+z= 15
2x+z = 1
27-z=7
true or false

Answers

Answer:

False

Step-by-step explanation:

Let us start with the most obvious one:

27 - z = 7

-27 - 27

_________

-z = -20

z = 20 [Plug this back into the other two equations to get the y-coordinate and x-coordinate of 4½ and -9½]; 4½ = y; -9½ = x

So, the solution is [-9½, 4½, 20].

I am joyous to assist you anytime.

The population of a city this year [2018] is 34,500. The population is expected to grow by 2% each year. What will be the population if the city in 2025?
A. 39,300
B. 23,180
C. 123,619
D. 39,630

Answers

The answer would be A. 39,300.

I got this by multiplying 34,500 by 2% and getting 690. Since 2018 is 7 years away from 2025, I multiplied 690 by 7 getting 4,830. I added the 4,830 to the original population of 34,500 and got my answer, 39,300. Hope I helped!

Line segment QR is dilated to create line segment Q'R'
using the dilation rule Dt, 1.5

What is y, the distance between points R and R?

3 units
4 units
6 units
9 units

Answers

Answer:

The distance between R and R' is 3 units ⇒ 1st answer

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same

shape as the original, but in a different size.

If the image is larger than the original figure then dilation is called an

enlargement.

If the image is smaller than the original figure then the dilation

is called a reduction.

The image of a line by dilation parallel to the original line if the original

line not passes through the center of dilation.

Line segment QR is dilated to create line segment Q'R'

∴ QR is parallel to Q'R'

The factor of dilation is 1.5

∴ The length of Q'R' is 1.5 the length of QR

In Δs TRQ and TR'Q'

∵ QR // Q'R'

∴ m∠TRQ = m∠TR'Q'

∴ m∠TQR = m∠TQ'R'

∵ ∠T is common in the two triangles

∴ ΔTRQ is similar to ΔTR'Q'

∴ [tex]\frac{TR'}{TR}=\frac{R'Q'}{RQ}[/tex]

∵ [tex]\frac{Q'R'}{QR}=1.5[/tex]

∵ TR' = TR + y

∵ Tr = 6 units

∴ TR' = 6 + y units

∵ [tex]\frac{TR'}{TR}=\frac{6+y}{6}[/tex]

∴ [tex]1.5=\frac{6+y}{6}[/tex]

Multiply both sides by 6

∴ 9 = 6 + y

Subtract 6 from both sides

∴ 3 = y

* The distance between R and R' is 3 units

Answer:

3 Units on edge

Step-by-step explanation:

Given the fuction h (x) = x^2 + 2x -3, find the value of h (2) - h (-4)

Answers

Answer:-

0

Step-by-step explanation:

h(x) = x^2 + 2x -3

x = 2

h(2) = 2^2 + 2(2) - 3

h(2) = 4 + 4 - 3

h(2) = 8-3

h(2) = 5

x = - 4

h(-4) = (-4)^2 + 2(-4) - 3

h(-4) = 16 - 8 - 3

h(-4) = 16 - 11

h(-4) = 5

========

h(2) - h(-4)

5 - 5

0

With a tank of gas, if you can drive 475 miles, your car uses 12 miles per gallon. Write an equation to model this situation

Answers

12mi=1gal
475mi=(475/12)=39.583gal

Use a radical sign to indicate the negative square root of 34.68. Then evaluate the expression to two decimal places using a calculator.

Answers

Answer:

-5.89

Step-by-step explanation:

we have that

The expression of the negative square root of 34.68 is equal to

[tex]-\sqrt{34.68}[/tex]

Using a calculator evaluate the expression

[tex]-\sqrt{34.68}=-5.89[/tex]

In the past,younglin has painted a total of 5 pictures.She now intends to paint 7 pictures every two weeks.Make a table showing the total number of pictures younglin will have painted at the end of every two weeks.

Answers

Answer:  see table

Step-by-step explanation:

The number of weeks are multiples of 2 (every 2 weeks) and the number of paintings are multiples of 7 (7 paintings every 2 weeks).

[tex]\begin{array}{c|c}\underline{\text{Week}}&\underline{\text{Paintings}}\\2&7\\4&14\\6&21\\8&28\\10&35\\12&42\\14&49\\16&56\\18&63\\20&70\end{array}[/tex]

A town’s population has increased 35% during the last 8 years and is now 50,100 people. What was the population 8 years ago?

Answers

Final answer:

To find the population 8 years ago, we can set up an equation and solve for the original population. The population 8 years ago was approximately 37,000 people.

Explanation:

To find the population 8 years ago, we need to calculate the original population before the 35% increase. Let's assume the population 8 years ago was P.

Since the population has increased by 35% over the last 8 years, we can set up the equation: P + 0.35P = 50100

Simplifying the equation, we have: 1.35P = 50100

Divide both sides of the equation by 1.35 to solve for P: P ≈ 37000

Therefore, the population 8 years ago was approximately 37,000 people.

CD contains the points C at 4, D at 0, and E at 2.
What is the ratio of CD to DE? Complete the
statements using the number line.
The length of CD is units
The length of DE is units
The ratio of CD to DE is

Answers

Answer:

the length of CD is 4

the length of DE is 2

the ratio of CD to DE is 2:1

Step-by-step explanation:

Final answer:

The length of segment CD is 4 units and segment DE is 2 units. The ratio of CD to DE is 2:1.

Explanation:

To solve this problem, remember that points on a number line correspond to numbers and the lengths between the points correspond to the differences between these numbers.

The segment CD stretches from 0 to 4, hence the length of CD is 4 units.

The segment DE stretches from 2 to 0, hence the length of DE is 2 units.

However, since length cannot be negative, we take the absolute value of -2, which gives DE = 2 units.

Now, to find the ratio of CD to DE, we simply divide the length of CD by the length of DE.

The ratio of CD to DE can be found by dividing the length of CD by the length of DE. So, the ratio is 4/2 = 2.

Learn more about Ratio here:

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Kendra and her horse completed the
barrel racing course in 15.839 seconds.
What is this number rounded to
the nearest tenth? Explain how
you decided

Answers

Answer:

15.839 rounded to the nearest tenth is 15.8. This is because when we round it to the nearest hundredth it becomes 15.84 and then to the tenth it becomes 15.8, since 4 is less than 5.

Answer:

15.839 redondeado a la décima más cercana es 15.8.

Step-by-step explanation:

Esto se debe a que cuando lo redondeamos a la centésima más cercana se convierte en 15.84 y luego a la décima se convierte en 15.8, ya que 4 es menor que 5.

solve the equation: x-9/10= -7. show all steps.

Answers

Answer:

-61

Step-by-step explanation:

[tex]\frac{x-9}{10} = -7[/tex]

[tex]x-9= -7(10)[/tex]

[tex]x-9= -70[/tex]

[tex]x= -70 + 9[/tex]

[tex]x= -61[/tex]

The sale price of an item with a 33% discount on its list price L

Answers

Final answer:

The sale price of an item with a 33% discount is calculated by subtracting 33% of the list price from the list price itself. The equation for such a calculation is Sale Price = L - (33/100)*L.

Explanation:

The question is dealing with the calculation of a discount on an item's list price. When an item has a list price 'L' and the discount rate is 33%, you would calculate the sale price by subtracting 33% of the list price (L) from the list price itself. It is given by the equation Sale Price = L - (33/100)*L. This calculation will give you the final price that needs to be paid for the item after the application of the discount.

Learn more about Discount Calculation here:

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Select the two correct answers.A. to shrink the money supplyB. to help farmers repay debtsC. to increase the money supplyD. to replace the gold standard with silverE. to eliminate silver from the money supplyWhat was the Pendleton Civil Service Act intended to reform?A. veterans' benefitsB. federal hiring practicesC. state spending policiesD. military recruitment policies"Stop thief!"Based on this Thomas Nast cartoon of Boss Tweed and his henchmen running away from the New York City Treasury, what is Boss Tweed doing to the people of New York? (I will add attachment of the picture)A. helping them save moneyB. protecting their moneyC. stealing their moneyD. wasting their money Nuclear energy could come from The nucleus of a 125 Xe atom (an isotope of the element xenon with mass 125 u) is 6.0 fm in diameter. It has 54 protons and charge q=+54e (1 fm = 1 femtometer = 1 10 15 m .) Hint: Treat the spherical nucleus as a point charge. Part A What is the electric force on a proton 3.0 fm from the surface of the nucleus? Express your answer in newtons. F nucleusonproton F n u c l e u s o n p r o t o n = nothing N SubmitRequest Answer Part B What is the proton's acceleration? Express your answer in meters per second squared. a proton a p r o t o n = nothing m/ s 2 SubmitRequest Answer Provide Feedback Next Each of the following items is shown in the financial statements of Exxon Mobil Coperation: 1. Accounts payable 2. Cash equivalents 3. Crude oil inventory 4. Equipment 5. Exploration expenses 6. Income taxes payable 7. Investments 8. Long-term debt 9. Maketable secrities 10. Notes and loans payable 11. Notes receivable 12. Operating expenses 13. Prepaid taxes 14. Sales 15. Selling expenses a. Identify the financial statment (balance sheet or income statment) in which each item would appear. b. Can an item apperar on more than one financial statment? c. Is the accounting equation relevant for Exxon Mobil Corporation? Jogging is one of the few sports that has been consistently increasing over the past few years. The number of people jogging (in millions) from the years 2000 to 2009 is given by the equation y equals x plus 16, where x is the number of years after 2000.a. Use this equation or a graph of it to complete the ordered pair (2, ).b. Write a sentence explaining the meaning of the answer to part (a).c. If this trend continues, how many joggers will there be in 2023? 123,608,902.904.Written in words What is meant by "gaps" within living things or fossils? 1. missing links2. a distinct and obvious lack of transition between all higher levels of taxa3. specimens representing evidence for evolutionary transitions A student applies a horizontal force of 100 N to a 25 kg box causing the block to accelerate at a rate of 1.5 m/s^2. Which of the following is the best approximation of the magnitude of the friction force on the box? What is the method development of Everest by Erik weihenmayer? Originally, there was concern that sealants would trap bacteria in the pit and the caries would proliferate. However, researchers are now experimenting with sealing interproximal incipient caries.True / False. A woman on a motorcycle moving uniformly at a rate of 20 m/s passes a truck at rest. At the instant the motorcycle passes the truck, the truck begins to accelerate at the rate of 5 m/s . (A) How long does it take the truck to catch up to the motorcycle? (B) How far has the motorcycle traveled? (C) What is the truck's speed at this point? Perpendicular to y=1/2-1, x-intercept at4