Answer:
which simplifies further to
and combine the -2 and -3 to get [tex] -\frac{1}{2}x^2-2x-5 [\tex]
Hope this helps :)
Answer:
The discriminant is 40
Step-by-step explanation:
First, rewrite the equation as
so that the equation is in the form of
. Thus, the discriminant is
. This tells us that since the discriminant is greater than 0, then there are 2 real solutions.
Answer: 3774
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.
Let's find out:
DE/AB = 10/5 = 2
EF/BC = 8/4 = 2
FD/CA = 12/6 = 2
The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.
Answer:
see attached
Step-by-step explanation:
Rotation 270° counterclockwise is equivalent to rotation 90° clockwise. The transformation of coordinates is ...
(x, y) ⇒ (y, -x) . . . . . . . rotation 270° CCW
This means the points are moved to ...
A(-2, 1) ⇒ A'(1, 2)
B( 1, 2) ⇒ B'(2, -1)
C(-2, 4) ⇒ C'(4, 2)
The rotated triangle is shown in the attachment. You may notice that A' and B are the same point.