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hoa [83]
2 years ago
14

9. Use the distance formula to find the distance between the points (-4,-4) and (4,4).​

Mathematics
1 answer:
Tanzania [10]2 years ago
6 0

Answer:

16

Step-by-step explanation:

Distance formula = (x_{1}-x_{2})+(y_{1}-y_{2})

Depending on which point is A and Which point is B, the answer is one of the two.

However, there is no such thing as negative distance, so your answer is 16 points in a certain direction.

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Using the piling method, which of the following can be constructed from polygons alone? check all that apply
zimovet [89]

Answer:

Prism, Pyramid not including vertex

Step-by-step explanation:

Apex

5 0
3 years ago
Find the x and y intercept of the equation -2x+4y=12
tresset_1 [31]

Answer:

x and y intercept

x —> (–6,0)

y —> (0, 3)

7 0
3 years ago
The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ≤ t ≤ 8. (a) When is the position function decreas
iren [92.7K]

For the last part, you have to find where f'(t) attains its maximum over 0\le t\le8. We have

f'(t)=-6\sin3t+6\cos2t

so that

f''(t)=-18\cos3t-12\sin2t

with critical points at t such that

-18\cos3t-12\sin2t=0

3\cos3t+2\sin2t=0

3(\cos^3t-3\cos t\sin^2t)+4\sin t\cos t=0

\cos t(3\cos^2t-9\sin^2t+4\sin t)=0

\cos t(12\sin^2t-4\sin t-3)=0

So either

\cos t=0\implies t=\dfrac{(2n+1)\pi}2

or

12\sin^2t-4\sin t-3=0\implies\sin t=\dfrac{1\pm\sqrt{10}}6\implies t=\sin^{-1}\dfrac{1\pm\sqrt{10}}6+2n\pi

where n is any integer. We get 8 solutions over the given interval with n=0,1,2 from the first set of solutions, n=0,1 from the set of solutions where \sin t=\dfrac{1+\sqrt{10}}6, and n=1 from the set of solutions where \sin t=\dfrac{1-\sqrt{10}}6. They are approximately

\dfrac\pi2\approx2

\dfrac{3\pi}2\approx5

\dfrac{5\pi}2\approx8

\sin^{-1}\dfrac{1+\sqrt{10}}6\approx1

2\pi+\sin^{-1}\dfrac{1+\sqrt{10}}6\approx7

2\pi+\sin^{-1}\dfrac{1-\sqrt{10}}6\approx6

4 0
3 years ago
OMG HELP ME OUTTTTTTTTTTTTTTTTTT GRRRR
Illusion [34]

Answer:

635.2 cm^3.

Step-by-step explanation:

Volume of the cylinder = π r^2 h

= 3.14 * 4^2 * 5 = 251.2

Volume of the prism = 4 *8 * 12

= 384

Total volume = 384 + 251.2

8 0
2 years ago
Read 2 more answers
ABC is a straight angle.<br> Find ABX and CBX .
AnnyKZ [126]

Answer:

Step-by-step explanation:

14x+70+20x+8 =180

34x + 78 = 180

34x = 102

X = 3

ABX 14(3)+70 = 112

CBX = 20(3) +8= 68

3 0
3 years ago
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