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Elza [17]
4 years ago
12

-2(p-5)+7p=-5sorry for bad quality but thx​

Mathematics
1 answer:
natka813 [3]4 years ago
8 0

Answer:

p = -3

Step-by-step explanation:

-2 (p - 5) + 7p = -5

-2p + 10 + 7p = -5

5p = -15

p = -3

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Triangles with height h and base b, with b=h have area \dfrac{b^2}2.

Such cross sections with the base of the triangle in the disk x^2+y^2\le25 (a disk with radius 5) have base with length

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i.e. the vertical (in the x,y plane) distance between the top and bottom curves describing the circle x^2+y^2=25.

So when x=4, the cross section at that point has base

2\sqrt{25-16}=6

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3

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Step-by-step explanation:

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