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omeli [17]
3 years ago
9

In the equation -2(2-r)=4(5-r) what is r?

Mathematics
1 answer:
valina [46]3 years ago
8 0
-2(2-r)=4(5-r)\\
-4+2r=20-4r\\
6r=24\\
r=4
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A
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Answer:

681ft^2

Step-by-step explanation:

Start by finding the area of the whole thing with the missing triangle:

33 x 22 = 726

Then find the area of the triangle. You can do this by first finding out the side lengths of the triangle:

33 - 24 = 9 and 22 - 12 = 10

Then multiply both sides and divide by two because it is a triangle:

10 x 9 = 90       90/2 = 45

Then subtract the area of the triangle from the rectangle:

726 - 45 = 681

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Can someone explain to me how to round to the nearest 10 dollars?
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3 0
3 years ago
When does the proportion form of newton's second law take the form of an equation?
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8 0
3 years ago
A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par
sasho [114]

The velocity of the particle is given by

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

Since a(t)=-4\sin2t and v(0)=7, we get

\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2

\implies v(t)=2\cos2t+5

Similarly, the position function is obtained via

x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du

We know v(t) and we're told that x(0)=0, so

\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t

\implies x(t)=\sin2t+5t

making the answer A.

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