write an equation of the line passing through the point A(8,2) that is perpendicular to the line y=4x-7​

Answers

Answer 1

Answer:

y - 2 = (-1/4)(x - 8)

Step-by-step explanation:

The slope of the given line is 4.  The slope of any line perpendicular to the given line is the negative reciprocal of 4, which is -1/4.

Use the point-slope formula:

y - k = m(x - h), where (h, k) is the given point.

Then:  y - 2 = (-1/4)(x - 8)


Related Questions

I am confused on this quadratic problem.
I am thinking it is (x+5)^2=81.

Here's the problem: The sum of a number and 5 is squared. The result is 81.​

Answers

Answer:

(x+5)^2=81 would be correct

Step-by-step explanation:

solution (if you want it)

x² + 10x + 25 = 81

x² + 10x - 56 = 0

(x + 14)(x - 4) = 0

x = 4, x = -14

Find the area of the regular polygon.
10
5 divided by 3

Answers

Answer:

Start by setting it up with the divisor 3 on the left side and the dividend 105 on the right side like this:

             

   3 ⟌ 1 0 5

Step 2:

The divisor (3) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   3 ⟌ 1 0 5

Step 3:

Multiply the divisor by the result in the previous step (3 x 0 = 0) and write that answer below the dividend.

       0    

   3 ⟌ 1 0 5

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   3 ⟌ 1 0 5

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (0) like this:

       0    

   3 ⟌ 1 0 5

     - 0    

       1 0  

Step 6:

The divisor (3) goes into the bottom number (10), 3 time(s). Therefore, put 3 on top:

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

Step 7:

Multiply the divisor by the result in the previous step (3 x 3 = 9) and write that answer at the bottom:

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

         9  

Step 8:

Subtract the result in the previous step from the number written above it. (10 - 9 = 1) and write the answer at the bottom.

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1  

Step 9:

Move down the last digit of the dividend (5) like this:

       0 3  

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

Step 10:

The divisor (3) goes into the bottom number (15), 5 time(s). Therefore put 5 on top:

       0 3 5

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

Step 11:

Multiply the divisor by the result in the previous step (3 x 5 = 15) and write the answer at the bottom:

       0 3 5

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

         1 5

Step 12:

Subtract the result in the previous step from the number written above it. (15 - 15 = 0) and write the answer at the bottom.

       0 3 5

   3 ⟌ 1 0 5

     - 0    

       1 0  

     -   9  

         1 5

     -   1 5

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 105 divided by 3 calculated using Long Division is:

35

0 Remainder

Step-by-step explanation:

Answer:

5 half of the e

Step-by-step explanation:

AABC is dilated by a factor of 5 to produce AA'B'C:
37
5
53
B
3
с
What is A'C, the length of AC after the dilation? What is the measure of A?
A. A'C' = 25, m A'= 37
B. A'C' = 15, m A'= 53
C. A'C' = 25, m A' = 185
D. A'C' = 1, m.A'= 37*

Answers

Answer: its A

Step-by-step explanation:

Trust me I learned the hard way

The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

here, we have,

We have given that,

Triangle ABC is dilated by a factor of 4 to produce AA'B'C'.

The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.

Then the length of AC after dilation. We have

A'C' = scale factor x AC

A'C' = 4 x 5

A'C' = 20

Then the measure of the angle ∠A' will be

There is no effect of dilation on the angle.

∠A = ∠A' = 37°

Thus, the correct option is A.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ5

What value of x makes the equation 3(x-6)-8x= -2+5(2x+1) true

Answers

Answer:

x= −7/5

Step-by-step explanation:

Step 1: Distribute and combine like terms

3(x−6)−8x=−2+5(2x+1)

(3)(x)+(3)(−6)+−8x=−2+(5)(2x)+(5)(1)(Distribute)

3x+−18+−8x=−2+10x+5

(3x+−8x)+(−18)=(10x)+(−2+5)(Combine Like Terms)

−5x+−18=10x+3

−5x−18=10x+3

Step 2: Subtract 10x from both sides.

−5x−18−10x=10x+3−10x

−15x−18=3

Step 3: Add 18 to both sides.

−15x−18+18=3+18

−15x=21

Step 4: Divide both sides by -15.

Hope this helps! :)


Aaron has a box that has a length of 12 inches, a width of 6 inches, and a height of 9
inches. What is the volume of the box?

Answers

Answer:

649 inches cubed or in^3

Step-by-step explanation:

multiply all 3

so 12 x 6 x 9 =

648

What is the solution to the equation x3 = 8 /27?
A. x = ± 2/7
B. x = ± 2 /3
C. x = 2/27
B. x = 2/ 3

Answers

Answer: x=2/3

Step-by-step explanation:

x3=8/27

(x)^3=(2*2*2)/(3*3*3)

(x)^3=(2)^3/(3)^3

(x)^3=(2/3)^3

same power got cancel

x=2/3

Find the area of the bedroom with the shape shown in the figure, in square feet.

Answers

Answer:

144 because I did 34+12+14+7 and that is what I got

Step-by-step explanation:

area = 548 square feet

12 * 34 = 408
20*7 = 140

408 + 140 = 548

Find the measure of the arc or angle indicated

Answers

Answer:

vdeuvhgcdfckzjhcvod ygxyfdcDcv

Step-by-step explanation:

How can-9 4/5
be expressed as the sum of its integer and fractional parts?

Answers

The fraction -9 4/5 can be expressed as the sum of its integer and fractional parts, which is -9 + 4/5

Expressing How can-9 4/5 as the sum of its integer and fractional parts

The integer part of a mixed number is the whole number portion, while the fractional part is the remaining fraction.

In this case, the integer part of -9 4/5 is -9, and the fractional part is 4/5.

To express the mixed number as the sum of its integer and fractional parts, we simply add the integer and the fraction:

So, we have

-9 + 4/5

When evaluated, we get

-9 + 4/5 = -45/5 + 4/5 = -41/5

Therefore, -9 4/5 can be expressed as the sum of its integer and fractional parts, which is -9 + 4/5 = -41/5.

Read more about fractions at

https://brainly.com/question/1330447

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Carrie often asks friends to play Among Us at lunch. Of the 5 games they play, Carrie wins 2 games. Consider this data. If she plays 20 games, how many games should you expect Carrie to win?

Answers

Answer:

8

Step-by-step explanation:

2 is 40% of 5, so if we stay within this data, then she will win 40% of the next 20 games she plays. 40% of 20 is 8, so she will win 8 games out of 20

2/5 games set against x/20
X=8. 8 of the 20 games.

PLEASE HELP ASAP NEED ANSWER VERY QUICK!!

Answers

Answer:

Translation

Step-by-step explanation:

Not completely sure.

Can I have Brainliest?

Answer:

Translation

Step-by-step explanation:

The square is just moved to another side, its not rotted or reflected (if it were reflection it would be in the -x side)

The Wilsons have triplets and another child who is 14 years old. The sum of the ages of their children is 38. How old are the triplets? Please give me the equation!! Correct answer will get brainliest

Answers

Answer:

Each age of the triplets should be 8 years old.

Step-by-step explanation:

38-14=24

24 divided by 3 = 8

Answer:

Triplets are 8 not sure on the equation but I think its y = 8x + 38.

Step-by-step explanation:

I'm assuming that all their ages together equal 38 therefore I would take,

38 - 14 = 24; this means that the triplets ages added together equal 24. Since triplets means 3 I will take,

24 dived 3 = 8.

I check my work by doing 14 + 8 + 8 + 8 = 38.

you asked for an equation I'm sure what you mean but I can try; I'm putting it into slope intercept form.

y = 8x + 38

There are 12 steps in the staircase. Plz don't do it for points!!! How do you get the answer 150? i am really struggling will mark brainliest.

Answers

You can find “hypotenuse” using Pythagorean to get the length of one of those steps, 12.5, and you get 150 when you multiply that number by 12 for each of the 12 steps

The distance from point A to B is 1 foot.

Given,

There are 12 steps in the staircase.

We need to find the distance of the steps.

The distance is given by AB.

Feet is the plural form of the foot.

What is a Pythagorean theorem?

It states that in a right-angle triangle the hypotenuse is equal to the squares of the other two sides.

If the hypotenuse is H and the other two sides are A and B.

H² = A² + B²

We have a figure,

Where it is in a right-angled triangle.

Two sides are given: 7.5 inches and 10 inches.

And hypotenuse  = AB.

Applying the Pythagorean theorem.

7.5² + 10² = AB²

AB² = 56.25 + 100

AB² = 156.25

AB = [tex]\sqrt{156.25}[/tex]

AB = 12.5 inches

Now,

AB = 12.5 inches.

We need to convert it into feet.

12 inches =1 foot

Multiplying 12.5/12 on both sides.

12.5/12 x 12 inches = 12.5/12 x 1 feet

12.5 inches = 1.0416 feet

Rounding to the nearest tenth we get,

12.5 inches = 1 feet

AB = 1 feet

Thus the distance of the staircase from point A to B is 1 foot.

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

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Josef left a 22% tip on a $120 dinner bill.
How much was the tip?

Answers

Answer:

$26.40

Step-by-step explanation:

22% = 0.22

120(0.22) = 26.4

change 22% to 0.22
0.22 x 120 = 26.4
the tip was $26.4

help please if correct i may or may not give brainlest

Answers

Answer

no yes yes yes

Step-by-step explanation:

Answer:

no, yes, no, yes

Step-by-step explanation:

Kwan recorded two sets of data.
Set 1: 9, 13, 6, 18, 15, 19, 20
Median: 15
Lower Quartile: 9
Upper Quartile: 19
Range: 14
IQR: 10
Set 2: 9, 13, 6, 18, 15, 19, 20, 63
Median: 16.5
Lower Quartile: 11
Upper Quartile: 19.5
Range: 57
IQR: 8.5
One set of data shows an outlier. Which measure of spread was most impacted by the outlier?
PLEASE HELP ASAP IM BEGGING

Answers

Answer:

Set 2 contains an outlier. The outlier would be 63. I would say the most affected measure of spread is the range.

Alex baked a cake for his birthday. At the party his guests ate ⅔ of the cake. The next day, he ate ½ of the rest of the cake. How much of the original cake did Alex eat?

Answers

1-2/3 =1/3
He ate 1/2 of 1/3
He ate 1/2 x1/3 =1/6

PLEASE HELP ME !!! IT’S DUE TODAY !!!

Answers

Answer:

Bru how can u not know that

Step-by-step explanation:

1. 2 pieces

2. 0.008

3. 4 pieces

4.0.016

5. 8 pieces

6.0.32

7.16

8.0.64

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )

Answers

Option A is 100% right answer .

Because results has been normally distributed and every group of 100 people would have different heights .

HALP PLEASE!!!!!!!! I RRALLY NEED TO GET THIS DONE​

Answers

Answer:

E = (-3a, -2b)

O = (3a, 2b)

M = (3a, -2b)

Step-by-step explanation:

A church group ordered a total of 22
drinks and burgers. Each drink cost
$2.50, and each burger cost $6.25. If the
group spent a total of $92.50, how many
burgers did the group purchase?


Please help 

Answers

Answer:

$37.50

Step-by-step explanation:

22 x 2.50 = 55

92.50 - 55 = 37.5

the purchase of the burgers cost

$37.50

(im not sure if its correct tho so im sorry if im wrong)

Please help:
How would you describe a polynomial to some new algebra students? What advice would you give to help learn how to add and subtract polynomials?

Answers

Answer:

I would describe a polynomial as an equation that finds out variables. An advice that I would give to help learn how to add and subtract polynomials is that polynomials is an hard subject and if you want to add and subtract polynomials you should try your best and not give up.

Step-by-step explanation:

I GIVING BRAINLIEST!!!PLEASE HELP!!

Answers

Answer: The answer is B!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

given x=1/3y+5/3 and xy-x=2y+1

Solve for x and y simultaneously​

Answers

xy-x=2y+1
y = 2y+1
-2y -2y
-y = 1
/-1 /-1
Y= -1

X=1/3y+5/3
X = 1/3(-1) + 5/3
X = -1/3 + 5/3
x = 4/3
Also known as 1 1/3

Please help me on thisss

Answers

Answer:

x² − 10x + 25  

Step-by-step explanation:

                        Express (x - 5)² as a trinomial in standard form.

                                              First, you rewrite it.

                                                    (x − 5)(x − 5)

                                              Next, you expand it.

                                                x² − 5x − 5x + 25    

                                       Last, you combine like terms.

                                                    x² − 10x + 25

a shirt cost $300 is reduced by 15%

what is the new price?
what is the savings?

Answers

The new price would be 255 (300x0.85)
The total savings would be $45 (300x0.15)

Answer:

saved: 45

new price is 255

A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi ≈ 3.14 r=2 R=4 h=20

Answers

Answer:

753.6 cubic units

Step-by-step explanation:

A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi ≈ 3.14 r=2 R=4 h=20

The volume of the pipe formula is given as:

Use pi ≈ 3.14 r=2 R=4 h=20

Volume =h × π (R² -r²)

Volume =20 × 3.14 × (4² - 2²) cubic units

Volume = 62.8 × ( 16 - 4) cubic units

= (62.8 × 12 )cubic units

= 753.6 cubic units

The radius of a sphere is 2.4 cm. Find the volume of the sphere.​

Answers

This is what I got I hope it helps

Please help I’ll make you the brainiest

Answers

A. Step 1
There should be no radicals in the equation

What two things need to be true in order for a number to be written in
scientific notation?

Answers

Answer:

A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 multiplied by a power of 10.

If we have a number greater than 10, we move the decimal point to the left until we have a number between 1 and 10. ...

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