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2 years ago

Find the area of a trapezoid with sides of 8cm 14cm 8cm 21cm and a height of 7cm

Mathematics

1 answer:

Vilka [71]2 years ago

8 0

Answer:

The answer to the question is 122.5

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f

Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁) = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

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3 years ago

Scan the n the questions <br><br> loading<br> 165464775250023655713488<br> 63

snow_tiger [21]

Answer:

what man we can barley see

Step-by-step explanation:

5 0

1 year ago

Need help please and Thank you

Novosadov [1.4K]

Top left:
7x-44 = 4x+4
7x-4x = 4+44
3x = 48
x = 16
8y-43 = 39+(7(16)-44)
8y = 39+68+43
8y = 150
y = 18.75

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3 years ago

Which expression is a difference of a number and a product?

zaharov [31]

Option A i believe but i dont know for sure

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2 years ago

When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pa

Liono4ka [1.6K]

Answer:

His book was opened at Page no.296 and Page no.297

Step-by-step explanation:

Let the page number of one page be x

Page number of page facing page no. x = x+1

We are given that the product of the facing pages was 87,912.

So, x(x+1)=87912

$x^2+x=87912$

$x^2+x-87912=0$

$x^2-296x+297x-87912=0$

$x(x-296)+297(x-296)=0$

(x+297)(x-296)=0

x=296,-297

Since Page no. cannot be negative

So, x=296

x+1=296+1=297

So, his book was opened at Page no.296 and Page no.297

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3 years ago

Find the area of a trapezoid with sides of 8cm 14cm 8cm 21cm and a height of 7cm​

Find the area of a trapezoid with sides of 8cm 14cm 8cm 21cm and a height of 7cm