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3 years ago

find the height and of a parallelogram if its base is 35 centimeters and its area is 700 square centimeters

1 answer:

5 0

Hello!

We know what the base and area of the parallelogram are, but the height is still unknown. We also know that the formula for the area is:

A = bh

Meaning we multiply the base by the height to find the area. The opposite of multiplication is division, so we must divide the area by the base to find the height. (We work in the opposite way).

B = a / h

B = 700 cm² / 35 cm

B = 20

We can double check by multiplying 20 by 35, and the product should result in 700.

20 * 35 = 700

Therefore, the height of the parallelogram is 20 centimetres.

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Find the distance between 6.2 and -4.3 on a number line.

Nitella [24]

Answer:

The two given numbers are 10.5 units apart.

Step-by-step explanation:

Subtract the smaller from the larger. The larger number here is 6.2. Then we have

6.2 - (-4.3) = 6.2 + 4.3 = 10.5

The two given numbers are 10.5 units apart.

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3 years ago

f of x equals 4 x over quantity x squared minus 16. Show all work to identify the asymptotes and zero of the function.

yuradex [85]

Given:

The function is

$f(x)=\dfrac{4x}{x^2-16}$

To find:

The asymptotes and zero of the function.

Solution:

We have,

$f(x)=\dfrac{4x}{x^2-16}$

For zeroes, f(x)=0.

$\dfrac{4x}{x^2-16}=0$

$4x=0$

$x=0$

Therefore, zero of the function is 0.

For vertical asymptote equate the denominator of the function equal to 0.

$x^2-16=0$

$x^2=16$

Taking square root on both sides, we get

$x=\pm \sqrt{16}$

$x=\pm 4$

So, vertical asymptotes are x=-4 and x=4.

Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0.

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3 years ago

a bastetball is passed through the air. The height h of the ball in feet after the distance d in feet the ball travels horizonta

Ksenya-84 [330]

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