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Katyanochek1 [597]
3 years ago
15

Simplify 1/3n (-6+27m-51p)

Mathematics
2 answers:
marishachu [46]3 years ago
7 0
1/3n * -6 = -2n
1/3n * 27m = 9nm
1/3n* -51p = -17np
-2n + 9nm - 17np
Alinara [238K]3 years ago
7 0
\frac{1}{3}n(-6+27m-51p)=-6* \frac{1}{3}n +27m* \frac{1}{3}n-51p* \frac{1}{3}n= \\ \\ =-2m+9mn-17np
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Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?
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Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

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Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving <u>162mm^2</u>

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving <u>162mm^2</u>

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get <u>108mm^2</u>.

Area of the rectangle: lw, so 15mm * 9mm = <u>135mm^2</u>

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, <u>378mm^2</u>

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, <u>162mm^2 </u>

Area of the rectangle at the very bottom = lw, 21mm * 9mm = <u>189mm^2</u>

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

<u />

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2 years ago
4/9 + 1/3 = ??<br><br> Simplify answer fully
galben [10]
Multiply the second fraction by three.

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5 0
3 years ago
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