The expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).
<h3>Expression</h3>
Given:
Base side length=14 and 10 units
Height=8 units
Diameter=5 units
Hence:
Expression= 1-( half 14)(10)(8) - π(2.52)(8)
Expression=1-(7) (10)(8) - π(2.52)(8)
Expression=1- (560)- 63.33
Expression=-559-63.33
Expression=-622.33
Therefore the expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).
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Answer: Choice A
y + 1 = -3(x+2)
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Explanation:
Let's look through the answer choices.
Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.
With choice A, the slope is negative and choice B has a positive slope.
The answer must be choice A because the line is going downhill as we move from left to right.
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A common method is to pick two points on the line and compute the slope using the slope formula
m = (y2-y1)/(x2-x1)
Once you know the slope, you would use point slope form
y - y1 = m(x - x1)
Answer:
x = -4
Step-by-step explanation:
Distribute the -2 into the parentheses and your equation becomes -8x - 8 - 3x - 2 = 34
Then combine the -8x and -3x as well as the -8 and -2 to have -11x - 10 = 34
Add 10 to both sides and get -11x = 44
Divide both sides by -11 for x=-4
Firstly, given this information there could be 25 labradors and poodles and only 4 boxers and 1 spaniel. However, assuming that there are only boxers and spaniels at the dog show the first thing to do is to divide 30 by 5 = 6 so the answer is, There are 6 spaniels.
