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12345 [234]
2 years ago
10

Find an equation of the line. Write the equation using function notation.

Mathematics
1 answer:
vredina [299]2 years ago
4 0

Answer:

  f(x) = -5x +48

Step-by-step explanation:

A fairly easy way to write the equation of the perpendicular line is to swap the x- and y-coefficients, negating one of them. Then choose the constant in the equation to make it true at the given point.

<h3>Swapped coefficients</h3>

In this instance, we find it convenient to leave the coefficient of y as positive.

  5y = x -10 . . . . . . original equation

  y = -5x +c . . . . . . with coefficients swapped, x-coefficient negated

<h3>New constant</h3>

At the given point, the equation becomes ...

  8 = -5(8) +c

  48 = c . . . . . . . add 40

<h3>Equation of the perpendicular line</h3>

The equation of the line is then ...

  y = -5x +48

  f(x) = -5x +48 . . . . . . in functional notation

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A pair of jeans cost $32 last year this year they cost $38 what was the percent increase? PLEASE ANSWER NEED HELP!
garik1379 [7]

Answer:

18.75%

Step-by-step explanation:

percent increase = \frac{increase}{original cost} × 100%

Increase in cost = $38 - $32 = $6

percent increase = \frac{6}{32} × 100% = \frac{6(100)}{32} = 18.75%


5 0
4 years ago
Renee has a triangular garden with an area of 24 square feet. Which drawing shows Renee's garden?
gulaghasi [49]

Answer:

The picture that represent her drawing is uploaded below. The height is 8 ft and the base is 6 ft.

Step-by-step explanation:

Renee garden is triangular in shape . The area of the triangular garden is given as 24 ft² . The area of a triangle can be represented below.

Area of a triangle = 1/2bh

where

b = base

h = height

The drawing that represent Renee drawing is given below. The height is 8 ft and the base is 6 ft .

Using the formula

Area of a triangle = 1/2bh

Area of a triangle = 1/2 × 6 × 8

Area of a triangle = 48/2

Area of a triangle = 24 ft²

6 0
3 years ago
Read 2 more answers
SOLVE FOR f(-2) MATH HELP PLS
tankabanditka [31]

Answer: 9

Step-by-step explanation: Basically what f(-2) means is -2 = x. So you put in -2 wherever x appears. This would turn the equation to -3(-2) + 3 which goes to 6+3.

4 0
3 years ago
Read 2 more answers
Please explain the answer to 4367 ÷ 0.004
boyakko [2]
4367 ÷ 0.004 is 1091750. To solve this, you can use long division, by setting up the equation. Make sure to move the decimal. Then, divide the first digit, then the first two digits, and so on.
7 0
4 years ago
Mary rented a truck for one day. There was a base fee of $13.50, and there was an additional charge of 9 cents for each
marishachu [46]

Answer:

15.3 dollars

Step-by-step explanation:

13.50 + (.09 x 20 = 1.8)

13.50 + 1.8

5 0
3 years ago
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