Step-by-step explanation:
(x+5)^2 = 2( 5x-3)
x^2+25=10x-6
x^2-10x+25+6= 0
x^2-10x+31=0
a=1, b
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Surface area of the cube
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6(2.5 x 2.5) = 37.5m²
<em>(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)</em>
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Surface area of the rectangle prism
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2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²
<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
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Overlapping area
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2.5 x 2.5 = 6.25m²
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Surface area of the composite figure
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37.5 + 478 - 2(6.25) = 503m²
<em>(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)</em>
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Answer: 503m²
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Answer:
<h3>The answer is 17.80 units</h3>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-8,19) and (3,5)
The distance between them is
We have the final answer as
<h3>17.80 units to the nearest hundredth</h3>
Hope this helps you
Answer:
200,000
Step-by-step explanation:
Answer:
(9/2)√x.
Step-by-step explanation:
Convert the radical to an exponent.
x√x = x^1 * x^1/2
= x^(1 + 1/2)
= x^3/2
So the derivative of 3x^3/2 is found as follows:
y' = 3 * 3/2x^(3/2 - 1)
= (9/2)x^1/2
= (9/2)√x.
