An egg is dropped from a height of 90 ft. if acceleration due to gravity is -16 ft/s2 and initial velocity is ofts, approximately how
long will it take for the egg to reach the ground?

Step-by-step explanation:

Use the height equation:

y = ½ a t² + v t + h

where y is the height at time t,

a is the acceleration due to gravity,

v is the initial velocity,

and h is the initial height.

Here, a = -16, v = 0, and h = 90.

y = -8t² + 90

When the egg lands, y = 0.

0 = -8t² + 90

8t² = 90

t² = 45/4

t = 3.35

It takes approximately 3.35 seconds for the egg to land.

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)