REASONING A rectangular box for a new product is designed in such a way that
1 answer:
Answer:
(2x+3) y (3x+5)
Step-by-step explanation:
For this exercise we have that the volume is
V = 6x ^ 3 + 31X ^ 2 + 53x + 30
H = X + 2
The formula for the Volume its
V = H * L * W
for find L and W (width and length) we divide V / H = L * W
So,
this division is in the attachment
so, L * W = (2x + 3) * (3x + 5)
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- Midpoint formula is
.
So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: From here we can solve for the x-coordinate of Q.
Firstly, multiply both sides by 2:
Next, subtract both sides by 2 and your x-coordinate is
With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.
<u>Putting it together, the missing endpoint is (8,4).</u>
<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>
<h3>20.</h3><u>The missing endpoint is (7,2).</u>
<h3>21.</h3><u>The missing endpoint is (-5,1).</u>