-2a+2=22
3(a+4)-5(a-2)=22
3a+12-5a-10=22
-2a+12-10=22
-2a+2=22
ANSWER
By simplifying the left hand side using the Pythagorean Identity.
EXPLANATION
The given identity is
Take the left hand side and simplify to get the right hand side.
Collect LCM for the denominators.
Recall the Pythagorean Identity.
This implies that:
We substitute this to get,
8*6=48, 4*8=32, 5*8= 40, 5*4/2= 10*2=20. So, 48 + 32 + 40 + 20= 140 so the answer is 140 cm squared! Hope this helps! Can I get brainliest pls
Answer:
(x+1)(2x+5)
Step-by-step explanation:
f(x) = 2x² + 7x + 5
Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.
a+b=7
ab=2×5=10
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.
1,10
2,5
Calculate the sum for each pair.
1+10=11
2+5=7
The solution is the pair that gives sum 7.
a=2
b=5
2x²+7x+5 as (2x²+2x)+(5x+5).
(2x²+2x)+(5x+5)
Factor out 2x in the first and 5 in the second group.
2x(x+1)+5(x+1)
Factor out common term x+1 by using distributive property.
(x+1)(2x+5)
