Answer:
13.6
Step-by-step explanation:
The measure of the segment AQ is related to the measure of the segment A'Q by the dilation factor as follows:
dilation factor = A'Q/AQ
AQ = A'Q/dilation factor
Replacing with data:
AQ = 2.4/0.15 = 16
Then, the distance between points A and A' is
x = 16 - 2.4 = 13.6
To make a the subject we proceed as follows:
p=2a-3
add 3 on both sides
3+p=2a-3+3
simplifying the above gives us:
3+p=2a
divide both through by 2
3/2+p/2=(2a)/2
thus
a=3/2+p/2
6m3 - 16m2 + 15m - 40<span> Simplify —————————————————————
2m2 + 5
</span>Checking for a perfect cube :
<span> 4.1 </span> <span> 6m3 - 16m2 + 15m - 40</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.2 </span> Factoring: <span> 6m3 - 16m2 + 15m - 40</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 15m - 40
Group 2: <span> -16m2 + 6m3</span>
Pull out from each group separately :
Group 1: (3m - 8) • (5)
Group 2: <span> (3m - 8) • (2m2)</span>
-------------------
Add up the two groups :
<span> (3m - 8) • </span><span> (2m2 + 5)</span>
<span>Which is the desired factorization</span>
<span>3m-8 is the answer</span>
Answer:
x=-24
Step-by-step explanation:
