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murzikaleks [220]
3 years ago
7

How do you find the surface area and volume of this geometric shape?

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0
You find the surface area by finding the area of both trapezoids, then adding the area of the rectangles.
You find the volume by adding the base area, length of the base, dividing it by 2, multiplying it by the base height, and multiplying it by the base length. The formula is (a + b)/2 x h x l
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What is the x value and y value of the point of intersection of y = -3x + 10 and y = 2x - 5?
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What do you subtract from -3 td get positive 4?*
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Step-by-step explanation:

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The correct answer is:  "(-1, -2)" .
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Note:  By examining the point of intersection of the lines of the 2 graphs show in the "image attached", we can see that the point of intersection is at:  "(-1, 2");  that is:  "x = -1, y = 2" .
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3 years ago
Read 2 more answers
If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
2 years ago
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