Question
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 = m x + b equation of a straight line

m m' = -1    condition for perpendicular lines

If y = 4 x - 7     then m = 4 so m' = -.25

Y = -.25 X + A      we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2


Related Questions

(8y²)(-3x²y²)(2/3xy⁴)

HELP PLEASEEEEEEEE

Answers

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

2

×−3x

2

y

2

×

3

2

xy

4

2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

×−3x

2

y

2

×2xy

4

3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(−24×2)y

2

y

2

y

4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

−48y

2+2+4

x

2+1

7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

3

−48y

4+4

x

2+1

8 Simplify 4+44+4 to 88.

\frac{-48{y}^{8}{x}^{2+1}}{3}

3

−48y

8

x

2+1

9 Simplify 2+12+1 to 33.

\frac{-48{y}^{8}{x}^{3}}{3}

3

−48y

8

x

3

10 Move the negative sign to the left.

-\frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

3

.

-16{y}^{8}{x}^{3}

−16y

8

x

3

Done

my Christmas present to you​

Answers

Answer:

Is this a points post or something? If so, thank you!

how does 9 + 9 = 6 ?

Answers

Answer:

it does not, it equals 18

Step-by-step explanation:

9+9=18 - true

9+9=6 - false

determining end behavior and intercepts to graph a polynomial function

Answers

Answer:

Step-by-step explanation:

(b). ( x , 0 )

Zero where the graph crosses the X-axis: 1

Zero where the graph touches, but does not cross the X-axis: ( - 1 )

(c). ( 0, y )

- ( 0 + 1 )²( 0 - 1 ) = 1

Part A: Find the LCM of 5 and 12. Show your work. (3 points)

Part B: Find the GCF of 72 and 81. Show your work. (3 points)

Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)

Answers

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

---------------------------------

Part B: 9

81 / 72 = 9

----------------------------------

Part C: 9 (8 + 9)

---------------------------------

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

HELPP ME PLEASE I FORGOT HOW TO DO THIS !

Answers

Answer:

10.5 in

Step-by-step explanation:

2 triangles put together is a rectangle so you have to multiply the area by 2

31.5×2= 63

divide by 6, your width

10.5 in

Pls answer this problem

Answers

After studying for 3hrs you will score 70

Find the difference.

5 and two-thirds minus 2 and one-half equals what number?

A. three and one-sixth
B. three and two-thirds
C. three and one-half
D. three and five-sixths

Answers

Answer:

A

Step-by-step explanation:

5 2/3 - 2 1/2 = 3 2/3 - 1/2 = 3 4/6 - 3/6 = 3 1/6

The answer is A. Three and one sixth.
Explanation:
5 2/3 - 2 1/2
First, we have to convert both mixed numbers into improper fractions.
5 2/3= 17/3
2 1/2= 5/2
Then we find the common denominator, which is in this 6.
So we would do 17/3= x/6= 34/6. X=34
5/2= x/6= 15/6. X= 15.
Then we subtract 15/6 - 34/6= 19/6
Then we convert to a mixed number and get 3 1/6.

in the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication

Answers

Answer:

If you use the PEMDAS method, you can see that exponents should be done first.

Step-by-step explanation:

How many real solutions are there to the equation: x + y = 10

don't forget the explanation?​

Answers

Answer:

An infinite amount

Step-by-step explanation:

The domain and range of the equation [tex]x+y=10[/tex] are both [tex](-\infty, \infty)[/tex] or all real numbers ([tex]\mathbb{R}[/tex]). This means the equation takes on any real value for [tex]x[/tex] and [tex]y[/tex]. Therefore, there are an infinite number of real solutions to the equation.

Conceptually this makes sense. For any number we plug in for [tex]x[/tex], we can change [tex]y[/tex] to make [tex]x+y=10[/tex] true. Since there are an infinite number of numbers, there are an infinite number of values we can plug in for [tex]x[/tex] and [tex]y[/tex].

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL

On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby eucalyptus tree is 20 feet long. Write and solve a proportion to find the height of the tree.

Answers

Answer:

25 feet long

Step-by-step explanation:

this is because the ratio is 4:5

so if one side is 20 then the other side must be in proportion to 4:5

multiply both sides by 5 and u get 20:25

hope that helps

A pair of dice is rolled. What is the probability that the sum is nine or that the first number is a two?

Answers

Answer:

I think is 1/9

Because they say the sum is 9 and what will be chance in landing in 2

Factor the following.

Answers

Answer:

5. x(x+4)

6. 7x(x-3)

7. 12x(x+5)

8. 4x(2x+5)

Solve the simultaneous equations
4 x + y = 17
3 x + y = 15

Answers

I think 4 x 3 + 5 =17 and 3 x 4 + 3 = 15 I am not sure but I think this is it

Help help help math

Answers

area of the circle is 12 inches ²

A salad dressing recipe calls for ¾ cup of oliva oil for every ½ cup of vinegar. How many cups of vinegar are needed for 2 cups of olive oil?

Answers

Answer:

[tex]1\frac{1}{3}[/tex]  

Step-by-step explanation:

Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.

[tex]\frac{3/4}{1/2} = \frac{2}{?}[/tex]

3/4 ? = 2(1/2)

3/4? = 1

  ? = 1 ÷ 3/4

  ? = 1 × 4/3

  ?  = 4/3

  [tex]? = 1\frac{1}{3}[/tex]

please help asap!!!!

Answers

Answer:

y > x+1 (D)

Step-by-step explanation:

this equation forms the same graph as shown in the question

PLEASE HELP 60 POINTS
if l || m, find the value of x

Answers

Answer:

x = 15

Step-by-step explanation:

84 = 5x + 9

Subtract 9

75 = 5x

Divide by 5

x = 15

Answer:

x = 15

Step-by-step explanation:

5x + 9 and 84 are alternate angles and are congruent , so

5x + 9 = 84 ( subtract 9 from both sides )

5x = 75 ( divide both sides by 5 )

x = 15

What is the range of y=3sin(x)?

Answers

Answer:

The range is -3≤y≤3 - 3≤y≤3.

Step-by-step explanation:

I hope this helps! :)

what is 44÷33= please for answer​

Answers

1 1/3

Hope this helps

Step-by-step explanation:

44 ÷ 33

= 1.333333333..........

Hope it's helpful.

Find the value of x so that the function has the given value.
n(x) = 5x + 8; n(x) = 23

Answers

x would be 3! Pretty simple

the difference of x and 15 is 62 solve for x

Answers

Answer:

x is 77

Step-by-step explanation:

Answer:

x = (-77)

Step-by-step explanation:

The other one is wrong. He did it right, but he forgot the -.

as a Given the function f(x) = - 3x + 2 then what is - 2f * (x) as a simplified polynomial ?

Answers

Answer: 6x - 4

Step-by-step explanation: -2*f(x) = -2 * (-3x+2) = (-2*-3x) + (-2*2) = 6x + (-4) = 6x - 4

If you buy three of the ABC bonds with $10 commission for each, how much will it cost? a. $3142.50 b. $1047.50 c. $3172.50 d. $1077.50

Answers

The computation shows that the cost of each bond is A. $3142.50.

How to solve the cost?

From the complete information given, the price of the bond is given as $2856.80 each.

Therefore, with the commission, the price will be:

= $2856.80 + (10% × $2856.80)

= $2856.80 + $285.68

= $3142.50

In conclusion, the cost of each bond is $3142.50.

Learn more about cost on:

https://brainly.com/question/25109150

Answer:

it's A

Step-by-step explanation:

maybe

A polygon with area 10 square units is dilated by a scale factor of k. Find the area of the image for each value of k.
a k=4
square units
b. k=1.5
square units
ck=1
square units

Answers

Answer:

a = 160 square units

Step-by-step explanation:

The areas of the image are 160, 22.5 and 10 square units

The area of the polygon is given as:

A =10 square unit

The area of the image of the polygon is calculated as:

[tex]A_k = A * k^2[/tex]

When k = 4, we have:

[tex]A_4 = 10 * 4^2[/tex]

[tex]A_4 = 160[/tex]

When k = 1.5, we have:

[tex]A_{1.5} = 10 * 1.5^2[/tex]

[tex]A_{1.5} = 22.5[/tex]

When k = 1, we have:

[tex]A_{1} = 10 * 1^2[/tex]

[tex]A_{1} =10[/tex]

Hence, the areas of the image are 160, 22.5 and 10 square units

Read more about dilation at:

https://brainly.com/question/3457976

simplest form of 3/4+1/12

Answers

Answer:

5/6

Step-by-step explanation:

A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost

Answers

Answer:

$6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.4

AB with endpoints A(-2, -3) and B(4,4) is reflected in the line y = x to create its image A'B' Graph A' B' Then find the perimeter of the figure formed by the segments AB
BA' and AA to the nearest tenth

Answers

Answer:

Step-by-step explanation:

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not drawn to scale. The height is labeled (x minus 4) centimeters. The base is labeled (2 x squared 2 x minus 6) centimeters. Which simplified expression represents the area of the parallelogram? â€"4x3 14x â€" 24 square centimeters 2x3 â€" 6x2 â€" 14x 24 square centimeters â€"4x3 â€" 14x 24 square centimeters 2x3 6x2 14x 24 square centimeters.

Answers

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

The base of the parallelogram is represented by b

[tex]b = (x - 4)[/tex]

The height of the parallelogram is represented by h

[tex]h = (2 {x}^{2} - 6)[/tex]

The area of the parallelogram is represented by A

A = bh

A = (x - 4)(2x²- 6)

A = 2x³ - 6x - 8x² + 24

A = 2x³ - 8x² - 6x + 24

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

Learn more here: https://brainly.com/question/25601035

Answer:

B.  2x3 – 6x2 – 14x + 24 square centimeters

Step-by-step explanation:

Have the day you deserve :)

Find the slope of the line.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is
(Simplify your answer. Type an integer or a fraction.)
OB. The slope is undefined.

Answers

Answer:

sorry

for this answer

Labor unions arose in the nineteenth century as increasing numbers of Americans took jobs in factories, mines, and mills in the growing industrial economy.

The Knights of Labor, founded in 1869, was the first major labor organization in the United States. The Knights organized unskilled and skilled workers, campaigned for an eight hour workday, and aspired to form a cooperative society in which laborers owned the industries in which they worked.

The Knights’ membership collapsed following the 1886 Haymarket Square riot in Chicago. By 1886 the American Federation of Labor (AFL), an alliance of skilled workers’ trade unions, was growing.

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