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Lilit [14]
3 years ago
8

How many solutions does y=5/2x+2 and 2y=5x+4 have

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

Step-by-step explanation:

y=5/2x+2

2y=5x+4

y=5/2x+2

y=5/2x+2

they are the same line/equation so infinite number of solutions

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Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by
fiasKO [112]
\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy

Converting to cylindrical coordinates, the integral is equivalent to

\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta
=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)
=\dfrac{2\times7^3}3=\dfrac{686}3
4 0
3 years ago
Please help, marking brainliest for the best (and correct) answer
soldier1979 [14.2K]

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Step-by-step explanation:

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2 years ago
In ΔQRS, the measure of ∠S=90°, QR = 8.2 feet, and SQ = 4.2 feet. Find the measure of ∠R to the nearest degree.
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Step-by-step explanation:

6 0
3 years ago
James walked 548 yards. How many miles has he walked ?
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One yard is 0.0005 miles,
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Hope this helps.
3 0
2 years ago
Read 2 more answers
PB_WINT FSA DIAG_MA_GRTA_682
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Really any option.

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