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3 years ago

Hi everybody!

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

That answer is A and B pick one

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Evaluating integral by net area

N76 [4]

The graph of $f(x)=2$ is a horizontal line. So the area under $f(x)$ on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.

The graph of $g(x)=\sqrt{64-x^2}$ is the upper half of a circle with radius $\sqrt{64}=8$ . It's symmetric about $x=0$ , so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is $\frac{\pi 8^2}4=16\pi$ .

Then use the fact that the definite integral is distributive over sums, meaning

$\displaystyle\int_0^8f(x)+g(x)\,\mathrm dx=\int_0^8f(x)\,\mathrm dx+\int_0^8g(x)\,\mathrm dx=16+16\pi$

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4 years ago

Write the recursive rule for the arithmetic sequence82, 76, 70, 64, ...

Anastaziya [24]

Answer: the answer is A

Step-by-step explanation:

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3 years ago

Which equation represents a line that is parallel to y=-5/4x+2

Elis [28]

Answer:

y=-5/4x+4

Step-by-step explanation:

as long as the slope is the same and you have a different starting point the lines will be parallel.

8 0

3 years ago

Find the area of a triangle with vertices at D(2, 0), E(–1, 0), and F(2, –7).

MAVERICK [17]

Answer:

$\frac{21}{2}$ units²

Step-by-step explanation:

D and E lie on the x- axis and F is vertically below D

The triangle formed is right at D with legs of length 3 and 7

The area (A) of a right triangle is found using the formula

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

here b = 3 and h = 7, hence

A = $\frac{1}{2}$ × 3 × 7 = $\frac{21}{2}$ units ²

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3 years ago

Find missing angles and variables

shutvik [7]

Answer:

e= 2x-4

Step-by-step explanation:

the opposite of e is 2x-4.

7 0

4 years ago