I believe it's the first answer choice.
I pretty sure it's 75 sorry if I'm wrong
Answer:
TE = 12
Step-by-step explanation:
Given:
TE = 4 + 2x
EV = 4x - 4
The diagonals of the figure bisects each other. This means that:
TE = EV
4 + 2x = 4x - 4
Collect like terms
2x - 4x = -4 - 4
-2x = -8
Divide both sides by -2
x = -8/-2
x = 4
✅Find TE:
TE = 4 + 2x
Plug in the value of x
TE = 4 + 2(4)
TE = 4 + 8
TE = 12
Answer:
Step-by-step explanation:
Begin by combining like terms and then factoring. Combining like terms will give you
Using the "old-fashioned" way of factoring, the a times c method, our a = 10, b = -17 and c = -20.
a * c = 10(-20) = -200 and now we need the factors of 200 (don't worry about the negative) that combine to give us that middle term, -17p (here is where the negative matters). The factors of 200 are:
1. 200; 2, 100; 4. 50; 5, 40; 8, 25; 10, 20
The combination of those numbers that can be manipulated to give us a -17p is the 8, 25 as long as we say that the 25 is negative and the 8 is positive. Rewrite the original polynomial to reflect those factors:
and then factor by grouping:
and factor out from each set of parenthesis what is common:
again factor out what is common:
(2p - 5)(5p+ 4) = 0. These are the factors; therefore the solutions are
2p - 5 = 0 so
2p = 5 and
p = 5/2 and
5p + 4 = 0 and
5p = -4 so
p = -4/5