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QveST [7]
3 years ago
11

Pls and step by step

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

Step-by-step explanation:

90+75=135

135-125

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If an object is dropped from a height of 144 feet, the function h(t)=-16t^2+144 gives the height of the object after t seconds.
shtirl [24]

Answer:

A. 3s

Step-by-step explanation:

The height of the object after t seconds is given by:

h(t) = -16t^2 + 144

When will the object hit the ground?

It hits the ground after t seconds, and t is found when h(t) = 0. So

h(t) = -16t^2 + 144

0 = -16t^2 + 144

16t^2 = 144

t^2 = \frac{144}{16}

t^2 = 9

t = \sqrt{9}

t = 3

3 seconds, so the correct answer is given by option a.

5 0
3 years ago
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer a
soldi70 [24.7K]

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

6 0
3 years ago
The point (-3/5,y) in the third quadrant corresponds to angle θ on the unit circle.
romanna [79]
Sec(theta) = 1 / cos (theta) = hypotenuse / x -coordinate

hypotenuse = 1 (because it is the radius of the unit circle)

sec (theta) = 1 / (-3/5) = - 5/3

cot (theta) = 1 / tan(theta) = x-coordinate / y - coordinate

cot (theta) = -3/5 / y

y^2 + (-3/5)^2 = 1 => y^2 = 1 - 9/25 = 16/25 = y = +/- 4/5

Third quadrant => y = -4/5

=> cot (theta) = (-3/5) / (-4/5) = 3/4
7 0
3 years ago
|4-24x|=52 absolute value
Verdich [7]
|4-24x|=52
24x=56
2.333~ is your answer
8 0
3 years ago
Given that R=9x+8y find x when y=8 and R=4
Ilya [14]

Answer:

Step-by-step explanation:

R = 9x + 8y

4 = 9x + 8*8

4 = 9x + 64

Subtract 64 from both sides

4 - 64 = 9x + 64 - 64

-60 = 9x

Divide both sides by 9

-60/9 = 9x/9

-20/3 = x

x = -6 2/3

8 0
3 years ago
Read 2 more answers
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