Answer:
how long is the class
we need to know how long the class is to help you figure it out
The only factoring you need to do is already done for you:
<em>x</em>² + <em>x</em> - 12 = (<em>x</em> + 4) (<em>x</em> - 3)
What you're asked to do is decompose
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12)
into partial fractions, i.e. find <em>a</em> and <em>b</em> such that
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = <em>a</em> / (<em>x</em> + 4) + <em>b</em> / (<em>x</em> - 3)
Multiply both sides by <em>x</em>² + <em>x</em> - 12 :
3<em>x</em> - 4 = <em>a</em> (<em>x</em> - 3) + <em>b</em> (<em>x</em> + 4)
3<em>x</em> - 4 = (<em>a</em> + <em>b</em>) <em>x</em> + (-3<em>a</em> + 4<em>b</em>)
So we have
<em>a</em> + <em>b</em> = 3
-3<em>a</em> + 4<em>b</em> = -4
and solving this system gives
<em>a</em> = 16/7 and <em>b</em> = 5/7
so you should submit the numbers in bold:
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = 16 / (7 (<em>x</em> + 4)) + 5 / (7 (<em>x</em> - 3))
Answer:
c = 26
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
Take the square root of each side
sqrt(676) = sqrt(c^2)
26 = c
Answer: 771 3/8
Step-by-step explanation:
15 3/8+756
we can apply the assosiative propery and do 15+756+3/8
so 15+756= 771
so finally you do 771+3/8=771 3/8
Answer: I think the asnwer is c
Step-by-step explanation:
I suggest this because when your looking at the two different triangles your looking at the sides and the whole shape