Answer:
the correct answer is 2 act
Step-by-step explanation:
there is same base (act)
then 5+3=8
and 8-6 = 2act
We are given quadratic x^2-2x-8.
Let us factor it by product sum rule.
According to product sum rule, we need to find the factors of -8 that add upto -2.
If we write all factors of 8, we get 8,4,2 and 1 factores.
So, we could choose -4 and +2.
Because -4+2 = -2 (sum) and -4*2=-8 (product)
x^2-2x-8
Splitting middle term into two terms -4x+2x
x^2-4x+2x−8
Factoring out gcf from each group.
x(x-4) +2(x- 4)
(x + 2)(x - 4)
So, we got factored form of the given euadratic (x + 2)(x - 4).
Reciprocal of it would be 
.
Answer:
7 97/100
797/100
Step-by-step explanation:
Answer:
The center is at (0,0)
The vertices are at ( (
±2 sqrt(2),0)
foci are (
±sqrt(5),0)
Step-by-step explanation:
3x^2 + 8y^2 = 24
Divide each side by 24
3x^2 /24 + 8y^2/24 = 24/24
x^2/8 + y^2 /3 = 1
The general equation of an ellipse is
(x-h)^2/ a^2 + (y-k)^2 / b^2 = 1
a>b (h,k) is the center
the coordinates of the vertices are (
±a,0)
the coordinates of the foci are (
±c,0), where ^c2=a^2−b^
2
The center is at (0,0)
a = sqrt(8) = 2sqrt(2)
The vertices are at ( (
±2 sqrt(2),0)
c = 8 - 3 =5
foci are (
±sqrt(5),0)
Step-by-step explanation:
The vertical angles are congruent. The right angles are congruent. There are 2 angles of a triangle congruent to 2 angles of anther triangle. By AA Similarity the triangles are similar.
Statement A. (vertical angles are congruent)
Statement D. (right angles are congruent)
Triangle AEC is similar to triangle BDC.
Statement E is true but does not help.
Correct statement of proportional side lengths:
BD/AE = CD/CE
x/150 = 200/50
x/150 = 4
x = 600
P.S. I think there is a mistake in the problem. I don't think that statement E is correct. It is a true statement, but it is useless. Statement F is false.
