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Colt1911 [192]
3 years ago
14

Hellppp im so stuck

Mathematics
1 answer:
77julia77 [94]3 years ago
3 0

35= 5,000

45=15,000

55=50,000

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MAXImum [283]

Answer:

1) The equation for the of the ball in y = a·(x - h)² + k is;

y = -16·(x - 5)² + 25

2) The height of the dock, d =  -375 feet below the water level

Step-by-step explanation:

1) The question is with regards to quadratic function representing projectile motion

The given parameters are;

The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet

The time the ball hits the water = 6 seconds after reaching the 9 feet height

The form of the quadratic equation representing the motion is given as follows;

y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k

Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;

The equation for the ball, y = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

h = The horizontal component of the vertex coordinate = 0

Therefore, we have;

When x = 0, y = d

d = -16·(0 - h)² + k =  -16·h² + k

d = -16·h² + k  

When x = 4, y = 9 - d

9 - d = -16(4 - h)² + k = -16(4 - h)² + k

When x = 2, y = d

d = -16(2 - h)² + k

When x = 6, y = 9

9 = -16(6 - 5)² + k

When x = 8, y = d

d = -16(8 - h)² + k

-16(8 - h)² - (-16(2 - h)²) = 0

h = 5

From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k

d = 9 - k

9 = -16(6 - h)² + k

k = 9 + 16(6 - 5)² = 25

d = 9 - k = 9 - 25 = -16

Therefore, h = 5, k = 25

The equation for the of the ball in y = a·(x - h)² + k is therefore;

y = -16·(x - 5)² + 25

2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water

The height of the dock, d =  -375 feet below the water level

6 0
3 years ago
Find the area of the rectangle. ​
Andreyy89

Answer:  5.6ft²

Step-by-step explanation:

Area of a rectangle = length x width

                                 = \frac{4}{5} ft (7ft)

                                 = \frac{28}{5}ft^{2}

                                 = 5.6ft²

5 0
2 years ago
What percent of 320 is 64
jekas [21]

Answer:  If you are using a calculator, simply enter 64÷320×100 which will give you 20 as the answer.

Step-by-step explanation: Hope it helps:)

and tryna mark a child brainlest ;)

3 0
3 years ago
Read 2 more answers
Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81
noname [10]

Answer:

4(x-4.5)^2

Step-by-step explanation:

h(x)=4x^2-36x+81

=4(x^2-9x)+81

=4(x^2-9x+20.25)-(4)(20.25)+81

=4(x-4.5)^2

6 0
3 years ago
How do you factor by grouping
Zanzabum
<span>If you have a quadratic equation in the form <span>a<span>x2</span>+bx+c</span>
</span>Step 1) Determine the product of AC (the coefficients in a quadratic equation)Step 2) Determine what factors of <span><span>a⋅c</span> sum to b</span>Step 3) "ungroup" the middle term to become the sum of the factors found in step 2Step 4) group the pairs.
3 0
3 years ago
Read 2 more answers
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