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>
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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>
It is ten units, as the two sides are of 6 and 8 so you must square them both, add them together (which gives you 100) and then square root that, which gives you 10
Answer:
y = x+1
Step-by-step explanation
The equation in slope intercept form is expressed as y = MX+c
m a the slope
Get the slope of the line
Given the line x-y =9
-y = -x+9
y = x-9
Slope of the line is 1
Since it is parallel to the given line, the slope o the required line is also 1
Substitute m = 1 adnd (4,5) into the point slope form
y-y0 =m(x-x0)
y - 5 = 1(x-4)
y-5 = x-4
y= x-4+5
y = x+1
Hence the required equation is y = x+1
Answer:
the ASA similarity theorem
Step-by-step explanation:
As seen in the picture, the similarities are 2 sides and the angle between them
So the similarity is ASA, second answer choice
