. Line A is represented by the equation y=1/4x+5
(a) Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8, 2) − . Show your work.
(b) Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4, 1) . Show your work.

Answers

Answer 1

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

(a)

Parallel lines have the same slope but different y-intercepts.

m = 1/4x

y = 1/4x + b

-2 = 1/4(8) + b

-2 = 2 + b

b = -4

y = 1/4x - 4

(b)

Perpendicular lines have the negative reciprocal slope.

m = -4

y = -4x + b

1 = -4(4) + b

1 = -16 + b

b = 17

y = -4x + 17


Related Questions

Which statement correctly describes this expression 2m3-11 A. Twice the cube of the number subtracted from 11 B.the difference of twice a number and 11 cubes

Answers

A number is :

[tex]m[/tex]

_________________________________

Cube of it equals :

[tex] {m}^{3} [/tex]

_________________________________

Twice the cube equals :

[tex]2 {m}^{3} [/tex]

_________________________________

Subtract it from 11 equals :

[tex]2 {m}^{3} - 11 [/tex]

Which is the expression we have.

_________________________________

So the correct answer is A.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

In a school of 500 students, a random sample of 60
students are asked what their favorite subject is. The
results are in the table. Based on this sample, how
many students in the school would we predict have
math as a favorite subject?

Answers

it would be  2 people

If x is teater than 16 and less than 25, then x is.

Answers

If x is greater than 16 and less than 25, then x is. X has many solutions that are not 16 or 25 but in that intervals. Look at the image. Hope this helps!!

what is the negative square root of 65 over 121

Answers

Answer:

-0.06663022932

Step-by-step explanation:

Answer:

-0.06663022

it can't be simplified, but this is the decimal form....

Help ASAP!!!! WILL GIVE ALL MY POINTS!!


6. Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who has a mass of 40 kg, is traveling in the opposite direction at 5 m/s. They crash into each other and hold onto each other so that they move as one mass. How fast are they traveling?

Answers

They traveling at -0.37 m.s^-1 along the direction of 55 kg kid.


You must solve for s.
-8s + 16 = 56

Answers

Answer:

s= -5

Step-by-step explanation:

-8s + 16 = 56

Subtract 16 from both sides of the =, as this will cancel the + 16

-8s = 40

Divide both sides by -8, as this will cancel out the -8 beside the s

s = -5

You have $13 to spend on an Uber. The driver charges $0.35 per mile plus a $1 fee for the trip. At the end of the trip, you have $0.80 left. How many miles did
you go?

Answers

Answer:

32 miles

Explanation

$13 the money you have -$0.80 the money left

=12.20 the money you spent- $1 fee for the trip

=$11.20÷$0.35 per mile

=32 miles

A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.

a. What is the distance of the entire trip?

miles

b. How long does the entire trip take?

_hours
_minutes and
_seconds

Answers

Answer:

A)

10 miles.

B)

0 hours, 40 minutes, and 0 seconds.  

Step-by-step explanation:

Remember that distance is given by the formula:

[tex]d=st[/tex]

Where d is the distance, s is the speed, and t is the time.

We know that the bird leaves its nest and travels 15 miles per hour for x hours. So, let's substitute 15 for s and x for t:

[tex]d=15x[/tex]

On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.

Since this is the return trip, the distance d remains the same. We know that the bird travels 3 miles per hour slower, so it's speed is 15-3 or 12 miles per hour.

However, after x hours, it still has 2 miles left until reaching the destination. So, we will subtract 2 from d. This gives us the equation:

[tex]d-2=12x[/tex]

We can solve this using substitution. Since we already know that d is 15x. Substitute:

[tex]15x-2=12x[/tex]

Solve for x. Subtract 12x from both sides:

[tex]3x-2=0[/tex]

Add 2 to both sides:

[tex]3x=2[/tex]

Divide both sides by 3:

[tex]x=2/3[/tex]

Therefore, the bird traveled for a total of 2/3 hours or 40 minutes.

And the distance the bird traveled is:

[tex]d=15x[/tex]

Substitute 2/3 for x to get:

[tex]d=15(2/3)=30/3=10\text{ miles}[/tex]

And we're done!

What is a greater slope 3 or 8

Answers

Answer:

8

Step-by-step explanation:

it goes up steeper

Answer:

3

Step-by-step explanation:

Because on a graph it is wider and less vertically stretch

P = R -C solve for c

Answers

Answer:

[tex]c = -P + R[/tex]

Step-by-step explanation:

Find the mean absolute deviation for the set -32,9,11,12
A.0
B.8
C.16
D.32

Answers

The answer of the question is A.0

describe how the graphs of y=1/2x +7 is the same and different from the graph of y= 12x + 7

Answers

Answer:

the slope of the line for y=12x+7 is steeper compared to the other equation

they both have the same y-intercept of y=7

Step-by-step explanation:

i just plugged it into desmos and looked at the graph

hope this helps <3


Which expression has a value of 2/3 when x = -5?

Answers

Answer:

What are your choices

Step-by-step explanation:

Please help, please help. This is my final

Answers

Answer:

the answer is D

Step-by-step explanation:

their lengths are have a ratio of 1:2

1 being the smaller triangle and 2 being the bigger one.

g(x) = 2 log(x - 1)
what is the inverse

Answers

Answer:

[tex]g^{-1}(x)=1+10^{x/2}[/tex]

Step-by-step explanation:

Inverse Function

Let's call:

[tex]y=2 log(x-1)[/tex]

Divide by 2:

[tex]y/2=log(x-1)[/tex]

Assuming the base of the log is 10, apply exponential base 10:

[tex]10^{y/2}=x-1[/tex]

Solving for x:

[tex]x=1+10^{y/2}[/tex]

Swap variables:

[tex]y=1+10^{x/2}[/tex]

Calling this function the inverse:

[tex]\boxed{g^{-1}(x)=1+10^{x/2}}[/tex]

Please help me find the equivalent fractions!

Answers

Answer:

7/9 = 14/18

4/10 = 16/40

3/12 = 9/36

8/10 = 4/5

12/16  = 6/8

18/21 = 6/7

Step-by-step explanation:

Answer:

7/9 is equivalent to 14/18

4/10 is equivalent to 16/40

3/12 is equivalent to 2/8

8/10 is equivalent to 4/5

12/16 is equivalent to 6/8

18/21 is equivalent to 6/8

The same amount of principal is invested in different accounts earning the same interest rate.
Which of the following accounts would have the greatest accumulated value at the end of one year?
A.An account eaming no interest
B.An account eaming simple interest
C.An account eaming interest compounded annually
D.An account earming interest compounded daily ​

Answers

Answer:

D.An account earming interest compounded daily ​

Step-by-step explanation:

An account earning interest compounded daily would have accumulated the greatest value at the end of the year.

Compound interest is interest on interest. In compound interest, the interest is calculated on the principal and interest accrued. This makes the value highest. For the account compounded daily, the interest on interest is taken every day. It has a power of 365. For compound interest accrued annually, the interest compounded yearly. Simple interest is basically on the principal.

Answer: D! On edge 2021

Step-by-step explanation:

I just took the test :)

what is the solution for the following system of equations ?
2x + y = 7
x - 2y = 6

Answers

Answer:

(4,-1)

Step-by-step explanation:

BRAINLIEST ANSWER!! I need help ASAP!

Answers

Answer:

n = -9.5

Step-by-step explanation:

6n + 15 = -42

6n = -57

n = -9.5

What to put in blank spaces including the y= and x+
Giving brainiest please help

Answers

Answer:

Not answer but this'll help solve

Step-by-step explanation:

Divide each weight on Earth by 6 to find the weight on the moon

1. Given: 3(x - 6) + 10 = 31
Prove: x = 13

Answers

Answer:

The Answer is proved.

Step-by-step explanation:

If you like this answer then mark this answer as BRAINLIEST answer....

Thank you ☺️☺️

whats the answer to this???

Answers

Measure angle EFG = 15 degrees
Measure angle GFH = 15 degrees

a3 + 27 what sign is the first binomial

Answers

Answer:

a3+27

a +BC

=a 30

30+a

=30ⁿ

Joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year and had a starting salary of $70000. Write an equation for S,S, in terms of n,n, representing Joseph's salary after working nn years for the company.

Answers

Answer:

70000 + 5000nn = n

Step-by-step explanation:

70000 + 5000nn = n

58z-8=56z+11
What’s z

Answers

Answer:

z=19/2

Step-by-step explanation:

simplify –k + 3(4k –1) + 2 and please do a step by step

Answers

-k+3(4k-1)+3
distribute the 3

-k+12k-3+3
combine like terms
11k-3+2
combine like terms
11k-1

how to you find the simplest interest

Answers

Answer:

hahahahawe fiefu3j4ion31pigjp 34gn4j32ogfp34 ijg3 4g1i34onglm3go 314go34n1go31lg 34ogp13m4ogfp123g 34p1gfoi32jmfop23f 31ogi3j4go

Step-by-step explanation:

Simple Interest

Simple interest represents a fee you pay on a loan or income you earn on deposits.

When borrowing money: You must repay the amount you borrowed and make extra payments for interest, which represents the cost of borrowing.

When lending money: You typically set a rate and earn interest income in exchange for making your money available to other people.

When depositing money: Interest-bearing accounts such as savings accounts pay interest income because you are making money available to the bank to lend to others.

 

How to Calculate It

In the following example, the term "simple" means you're working with the simplest way of calculating interest. Once you understand how to calculate simple interest, you can move on to other calculations, such as annual percentage yield (APY), annual percentage rate (APR), and compound interest.

Hope this helps! <3

Find the value of x. Round the length to the nearest tenth. ​

Answers

Answer:

9.230095943 or 9.2

Step-by-step explanation:

Trigonometry: sine, cosine, tang: Sohcahtoa

O: opposite(side from angle)

H: hypotenuse(side opposite from 90*)

A: Adgacent(side from angle)

Use scientific calculator: tang(40*) x 11 = 9.230095943

5) Ana medía 1,42 m a principios de año. Pasados tres meses, medía 1.45 y a finales de
año, 1,51. ¿Cuándo creció más rápido, en los primeros tres meses o en el resto del
año?

Answers

solución:
creció más rapido en los primeros tres meses

explicación:
creció 1 cm (.01m) por mes en los primeros tres meses y creció 2/3 cm
(.0067m) por mes en el resto de año

HELP BEEN HAVING A BAD DAY
Find the slope of each line (each block is one unit):

Answers

Answer:

m = -2/3

Step-by-step explanation:

m = slope

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

m = -3 -1/ 3 - (-3)

m= -4/ 6

m= -2/3

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