Sarah is walking diagonally across a park as modeled by the equation y = x − 1. Suppose Marcus starts walking at the point (0, 9) so his path is perpendicular to Sarah's. At what point will Sarah's path and Marcus's path intersect?

Answers

Answer 1

Answer:

[tex]A(10,9)[/tex]

Step-by-step explanation:

Consider the attached figure.

The equation is [tex]y=x-1[/tex]

At [tex]x=0;y=0-1=-1[/tex]

At [tex]y=0;0=x-1,x=1[/tex]

Plot points [tex](0,-1)\,,\,(1,0)[/tex].

Marcus starts walking at the point B(0, 9) so that his path is perpendicular to Sarah's at point A.

From the graph, Sarah's path and Marcus's path intersect at point [tex]A(10,9)[/tex]


Related Questions

A local sawmill sells a total of 250,000 board feet of hardwood each year. The ratio of softwood sold to hardwood sold is 5: 3. Write and solve a ratio to find the amount of softwood sold each year. Round your answer to the nearest thousand.

Answers

Answer:

look i need help on the smae thing so sorry

Step-by-step explanation:

Define the term rational number and give at least one example.

Answers

Answer:

A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero. Expressed as an equation, a rational number is a number. a/b, b≠0. where a and b are both integer

Step-by-step explanation:

All rational numbers are algebraic. ...

The quadratic surds (irrational roots of a quadratic polynomial ax2 + bx + c with integer coefficients a, b, and c) are algebraic numbers. ...

The constructible numbers are those numbers that can be constructed from a given unit length using straightedge and compass. ...

Answer:

A rational number can be divided by two integers

1.5~Is a rational number because it = 3/2~

~3 and 2 are both integers~

A gift basket has 2 soaps and 5 lotions and costs $20. A second basket has 6 spas and 15 lotions and cost $60. Is it possible to determine the price of the soap?

Answers

A second basket has 6 spas--- I think you mean 6 soaps , so i will work with that

Answer:it is not possible to determine the price of the soap with the information given.

Step-by-step explanation:

Let s0ap be represented as x

and lotion be represented as y

2 soaps and 5 lotions costing  $20 gives us equation 1 as

2 x+ 5y= 20-------- equation 1

second basket with 6 soaps and 15 lotions and costing $60 gives us equation 2 as

6x + 15y= 60------equation 2

Step 2 -- Solving

2 x+ 5y= 20-------- equation 1

6x + 15y= 60--------equation 2

BY elimination method, we  multiply equation 1 by (3)

2x + 5y= 20  x (3)

6x + 15y=60-------equation 3

Subtraction of equation 3 from equation 2 gives us

6x + 15y=60-------equation 3

-6x + 15y= 60--------equation 2

0x +0y=0  which is no solution

Therefore it is not possible to determine the price of the soap

A student has a container with the volume 1.5 liters. She estimates the volume to be 1.2 liters. By what percent is the student's estimate off? I don't need a step-by-step explanation, I just want the right answer.

Answers

Answer:

20%.

1.2/1.5 = 0.8

0.8*100 = 80%

100%-80% = 20%.

We can verify this:

1.5-20% = 1.2.

Answer: 20%

Step-by-step explanation:

Which similarity statements are true? Check all that
apply.
AJKL - AKML
AJKM – AJKL
ΔJKM - ΔKML
Ο ΔJMK - ΔJKL
Ο ΔJMK - ΔKML

Answers

Answer:A, D, E

Step-by-step explanation:

ΔJKL and ΔJKM are similar triangles and ΔJKL and ΔKML are similar triangles. Therefore, options A and B are the correct answers.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure, ΔJKL, ΔJKM and ΔKML are right angle triangles.

Now, consider ΔJKL and ΔJKM

∠JMK=∠JKL (Measure of angle is equal to 90°)

∠KJM=∠KJL (Reflexive property)

ΔJKL and ΔJKM are similar triangles

Consider ΔJKL and ΔKML

∠KML=∠JKL (Measure of angle is equal to 90°)

∠JLK=∠MLK (Reflexive property)

ΔJKL and ΔKML are similar triangles

Therefore, options A and B are the correct answers.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ7

You missed 1 4questions on your math test and 3 out of 10 on your history test. In which class did you earn a higher percentage on your quiz?

Answers

Answer:

You got a higher score on your math test.

Step-by-step explanation:

100/10= 10 so 3/10 turns into 30/100 so if you got three wrong that’s 30 points off so you scored a 70%. While on the other test, 100/4=25 so each question is worth 25 points if you miss one you get a 75%. Making that higher score.

Help pls thank you!!!

Answers

Answer:

I think its 8 but I'm not positive sorry if I'm wrong!

Step-by-step explanation:

The Y-intercept is when the line of the graph crosses through the y intercept

What is the answer to this equation -14=d/15

Answers

Answer:

d=-210

Step-by-step explanation:

multiply 15 to both sides

-14*15 =-210

the 15 on the side with d cancels

Now you have d=-210

Hope this helps!

A scientist finds that an intial bacteria count was 24 million and 4 hours later, the count was up to 99
million. Write an exponential equation of the form y = abt for this scenario. Round b to four decimal
places.
y =

Answers

Answer:

y=ce^kt

..not quite sure but i tried and this was my answer..

Which number is divisible by six and nine?



24 35 168 288 992

Answers

288 because when it’s divided by six it’s 48 and when divided by nine it is 32

Answer:

288 !

Step-by-step explanation:

15 PONITS PLS HELP ME

Answers

Answer:

a=4 b=5

Step-by-step explanation:

Answer:

a=4 b=5

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all fractions. x+y= x+y= \,\,-4 −4

Answers

y= -x-4 should be the right answer

Find the surface area of this cylinder using pie.

Answers

Answer:

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²

Step-by-step explanation:

Given

radius = r = 2 in height = h = 7 in

Using the formula to determine the surface area of a cylinder:

[tex]A=2\pi \:rh+2\pi \:r^2[/tex]

[tex]A=\left(2\times \pi \times \:2\times 7\right)+\left(2\times \pi \times \:2^2\right)\:[/tex]

[tex]\:\:\:A=36\pi \:[/tex] in²

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²

The Vanderbloom family already traveled 200 miles on their vacation. The total distance that they will travel (d) is a function of their rate of travel (r) and their upcoming travel time (t). This is represented with the equation given below.

Answers

Answer:  t=r/d-200

Step-by-step explanation:

d-200=r/t+200-200

t*(d-200)=r/t*t

t(d-200)/(d-200)=r/d-200

t=r/d-200

9: The perimeter of a rectangle is 46 m. The width of the rectangle is 2 more than half the length. Find the length and the width of the rectangle.​

Answers

Answer:

our width is 9 and our length is 14

Step-by-step explanation:

Convert 384,000 to round to the nearest tenth?

Answers

Answer:

124.6

Step-by-step explanation:

In parallelogram ABCD above, AE =2x+4 and AC=6x. What is the length of CE?

Answers

Answer:

4-4x

Step-by-step explanation:

From the parallelogram

CE = CA+AE

Since CA = -AC

CE = -AC+AE

GIVEN

AC = 6x

AE= 2x+4

Substitute

CE = -6x+2x+4.

CE = -4x+4

Gene the length of CE is 4-4x

Which one should I choose

Answers

Answer: 9

Step-by-step explanation:

Since x=2 that means there should be 2 3s being multiplied since it’s 3 to the second power. So 3x3 which equals 9. If this answer helped please mark it brainliest!

Answer:

the last option, 9

Step-by-step explanation:

if x=2 then you would just plug x into the equation to get:

y=3^2 or 3 squared and that's just:

3x3 which is

9

So your answer would be 9

I hope this helps! blessings, have a lovely day/night, xo, nm :) <3

please please help i’ll give brainliest tysm:))

Answers

66 feet because the actual calculation is 65.6

Have a good one!

is 12n+20 equivalent

Answers

Answer:

32

Step-by-step explanation:

can't find N

Give an example of an equation that has no solution equation and explain why it is a no solution equation.

Answers

Answer:

x = x + 7

Step-by-step explanation:

In this equation, it is saying that x is equal to itself plus something else (7). This equation does not make sense at all because x cannot equal to something that is bigger or smaller than itself. If 7 is added to x, like the right-hand side of the equation, it cannot be equal to x from the left-hand side of the equation, so there is no solution to the value of x in this equation.

What is the volume of a rectangular prism that is 8 inches long, 2 inches wide, and 4 inches high?

Answers

Answer:

64 in³

Step-by-step explanation:

8 x 4 = 32, 32 x 2 = 64 :D

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

8. Write the equation of the line in standard form with integer coefficients.
y= 3/2 x - 1/2

Answers

Answer:

y= 1 1/2x-1/2

Step-by-step explanation:

Bao can eat 12 chicken wings in 3 minutes.She can eat chicken wings at a constant rate.how many chicken wings can bao eat in 12 minutes

Answers

Answer:

12

Step-by-step explanation:

12 divided by 3 = 4

4x3= 12

Answer:

48

Step-by-step explanation:

12 divided by 3 equals 4

so then I multiplied 12 x 4 to get 48

Whats the absolute value of 5/6?

Answers

Answer:

the absolute value of 5/6 is 5/6

Step-by-step explanation:

absolute value is just the distance from zero on a number line, so it just makes whatever number under the | x | the same number but positive.

Answer:

5/6 is the same you dont change it unless its negative

Step-by-step explanation:

If the fraction is positive, it is its own absolute value. If the fraction is negative, remove the negative sign. That is the absolute value. In other words, the absolute value of 1/7 is 1/7, and the absolute value of -5/8 is 5/8.

HOPE THIS HELPS HAVE A NICE DAY .............:...:..........

                                                                ..............U............

X/4+ 2 = 6 need answer ASAP

Answers

Answer:

16=x becuase 16/4 also =4 and 4+2=6 may  i have brainliest plzz

Step-by-step explanation:

i

Sas a ribbon that is 5/6 yard long. She cuts off 3/5 of that ribbon and uses it to tie her hair back. She gives the rest to her sister. How much of the original ribbon did she give to her sister? ​

Answers

Answer:

7/30

Step-by-step explanation:

5/6 = 25/30  3/5 = 18/30

25/30 - 18/30 = 7/30

Sas gives 7/30 of the ribbon to her sister.

Hope this helps! :3

please solve for the correct answer. thank you! :)

Answers

Answer:

           The first:    y = -25x + 180

Step-by-step explanation:

In every equation b = 170, so

The equation is  y =mx + 170

On the line on the graph, for x=2 we have y = 120,so:

 120 = m×2 + 170

 -50 = 2m

   m = 25

Therefore the equation is:

                                          y = -25x + 180

An online store that sells baseballs and bats offers free shipping on any order of $20 or more. The baseballs cost $1 each and the bats
cost $8 each. The inequality below shows the number of baseballs, 2, and bats, y, that a person can buy to get free shipping.
x+8y > 20
Which of the following ordered pairs are solutions to this inequality? Select all that apply.

Answers

Answer:

What are the answers?

Step-by-step explanation:

4.3x - 6 = 8 + 2.3x*

Answers

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Follow the following steps

[tex]4.3x - 6 = 2.3x + 8 \\ - 2.3x \: \: \: \: \: \: \: \: \: - 2.3x \\ 2x - 6 = 8 \\ + 6 \: \: \: \: + 6 \\ 2x = 14 \\ \div 2 \: \: \div 2 \\ x = 7[/tex]

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