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Aliun [14]
3 years ago
11

what is the area in square centimeters of the trapezoid below the height is 6.4 and the base is 12.9 and 8.6

Mathematics
2 answers:
Leona [35]3 years ago
4 0
Hello!
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The area in square centimeters is 68.8.
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Have a great day!
Lelu [443]3 years ago
3 0

Answer:

The area of given trapezoid is 68.8 cm²

Step-by-step explanation:

Given: A trapezoid with height 6.4 cm and parallel base is 12.9 cm and 8.6 cm.

We have to find the area of area of this trapezoid.

Area of trapezoid = \frac{1}{2}\times \text{sum of parallel sides}\times height

Given : Height = 6.4 cm

and parallel base is 12.9 cm and 8.6 cm.

Substitute, we have,

Area of trapezoid = \frac{1}{2}\times (12.9+8.6)\times 6.4

Simplify, we have,

Area of trapezoid = \frac{1}{2}\times 21.5\times 6.4

Area of trapezoid = 68.8 cm²

Thus, The area of given trapezoid is 68.8 cm²

           

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If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
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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
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∵ k(x) = x²

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

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→ Substitute them in the form above

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∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

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→ 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)

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