Which choice could be the equation of a line perpendicular to the line represented by this equation? y = 5x− 2
a. y= -1/5x + 5
b. y = 5x + 2
c. y= 1/5x - 7
d. y = -5x + 5

Option A. y= -1/5x + 5

Step-by-step explanation:

step 1

Find the slope of the given line

we have

y=5x-2

The slope m is

m=5

step 2

Find the slope of a line perpendicular to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

m1*m2=-1

we have

m1=5

(5)*m2=-1

m2=-1/5

therefore

The equation of a line perpendicular to the given line could be

y= -1/5x + 5

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)