Well, 8 times 7 is 56, 6 times 9 is 54, 56 + 54?
Answer
Given the statement: In parallelogram ABCD, diagonals AC and BD intersects at point E.
Given that ABCD is a parallelogram.
As, we know that in a parallelogram diagonals bisect each other.
Since AC and BD intersect at E, and we get E is the mid point of both diagonals AC and BD.
⇒ BE = DE .....[1]
Substitute the given values of
and
in [1] we have;
![2x^2-3x = x^2+10](https://tex.z-dn.net/?f=2x%5E2-3x%20%3D%20x%5E2%2B10)
Subtract
on both sides we get;
![2x^2-3x-x^2 = x^2+10-x^2](https://tex.z-dn.net/?f=2x%5E2-3x-x%5E2%20%3D%20x%5E2%2B10-x%5E2)
Simplify:
![x^2-3x =10](https://tex.z-dn.net/?f=x%5E2-3x%20%3D10)
Subtract 10 on both sides we get;
![x^2-3x-10 =0](https://tex.z-dn.net/?f=x%5E2-3x-10%20%3D0)
or
![x^2-5x+2x-10 =0](https://tex.z-dn.net/?f=x%5E2-5x%2B2x-10%20%3D0)
![x(x-5)+2(x-5)=0](https://tex.z-dn.net/?f=x%28x-5%29%2B2%28x-5%29%3D0)
![(x-5)(x+2)=0](https://tex.z-dn.net/?f=%28x-5%29%28x%2B2%29%3D0)
equate these factors equal to zero we get;
(x-5) = 0 and (x+2) = 0
we have;
x = 5 and x = -2
Since, x cannot be negative.
So, x =5
![BE = DE = x^2+10 = (5)^2+10 = 25+10 = 35 units](https://tex.z-dn.net/?f=BE%20%3D%20DE%20%3D%20x%5E2%2B10%20%3D%20%285%29%5E2%2B10%20%3D%2025%2B10%20%3D%2035%20units)
Diagonals BD = BE + DE = 35 + 35 =70 units.
Therefore, the value of BD = 70 units.
The answer is 44 the initial value is the amount she started with
The congruency symbol is this "<span>≅"
</span>So the correct answer is the second one.
4(-2)^2 - 3(-2) + 5
4(4) - (-6) + 5
16 + 6 + 5
22 + 5
<h3>27</h3><h3>The value of 4x^2 - 3x + 5 when x = -2 is 27.</h3>