If (x + 8) is a factor of f(x), which of the following must be true?
2 answers:
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The given pyramid's total surface area is 3. 24.0 square feet.
Step-by-step explanation:
Step 1:
To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.
There are 3 triangles and 1 square in the figure.
Step 2:
All the triangles are similar.
The surface area of a triangle =
The similar triangles have a base length of 3 feet and a height of 2.5 feet.
The surface area of 1 similar triangle = square feet.
The surface area for all the similar triangles = square feet.
Step 3:
The surface area of a square is the square of its side length. The square has a side length of 3 feet.
The surface area of the square = square feet.
Step 4:
To calculate the total surface area we sum up all the individual surface area.
The total surface area = square feet which is the third option.
For both of these questions you want to raise every part to the 4th or 2nd power. Just remeber that a power raised to a power is just multiplied.
3.)
3^4 = 3×3×3×3 = 9×9 = 81
x^4 = 1×4 = 4 so x^4
2^4 = 2×2×2×2 = 4×4 = 16
so
4.)
2^2 = 2×2 = 4
5^2 = 5×5 = 25
(n^9)^2 = 2×9 = 18 so n^18
so
Hope this helps!
3.)
3^4 = 3×3×3×3 = 9×9 = 81
x^4 = 1×4 = 4 so x^4
2^4 = 2×2×2×2 = 4×4 = 16
so
4.)
2^2 = 2×2 = 4
5^2 = 5×5 = 25
(n^9)^2 = 2×9 = 18 so n^18
so
Hope this helps!