Hey there,
The question is to find the product of the two factors (2p + q)(-3q - 6p + 1).
Now we just multiply across:
- -6pq - 12p² + 2p -3q²- 6pq + q
Now we combine like terms:
So the result would be -12p² - 3q² + 2p + q.
Hope I helped,
Amna
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The volume of the solid created upon dilation bythe scale factor of 3 is 5832 units³.
<h3>What is the volume of the dilated solid?</h3>
An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.
Dimensions of the dilataed solid = 6 x 3 = 18
Volume = 18³ = 5832 units³
To learn more about dilation, please check: brainly.com/question/3457976
<h2>
Answer:</h2>
The graph is shown in the Figure below
<h2>
Step-by-step explanation:</h2>
In this exercise, we have an equation. On the left side we have a straight line with slope 
and there is no any y-intercept. On the right side, on the other had, we also have a straight line, but the slope here is 
. Therefore, by plotting these two straight lines, we have that the solution is the origin, that is, the point 
.
Rectangle
l = 7.2 - 1.7 = 5.5 ft b = 3.4 ft
Semicircle
r = 1.7 ft
Shaded region = area of rectangle + area of semicircle
= l x b + πr²/2
= 5.5 x 3.4 + 3.14 x 1.7 x 1.7 x 1/2
= 18.7 + 4.5373
= 23.2373 ft²
