Answer:
A. x = -3
B. x = 2
C. x = 9/10
Step-by-step explanation:
(A) –12x + 9 = –15x
Collect like terms
9 = -15x + 12x
9 = -3x
x = 9 / -3
x = -3
(B) 4.5x + 11.5 = 8.5x + 3.5
4.5x - 8.5x = 3.5 - 11.5
-4x = -8
x = -8 / -4
x = 2
(C) 23x – 9 = 13x
-9 = 13x - 23x
-9 = -10x
x = -9 / -10
x = 9/10
Answer:
D. No, there isn’t enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.
7.5<span>(<span>−5.9</span>)</span><span>my answer is =<span>−<span>44.25
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Answer:
- x=8, x=2
- no solution
- no solution
Step-by-step explanation:
For the equation ...
y = a(x -h)² +k
you can find the x-intercepts by setting y=0 and solving for x.
0 = a(x -h)² +k
-k = a(x -h)² . . . . . . subtract k
-k/a = (x -h)² . . . . . divide by a
±√(-k/a) = x -h . . . . take the square root
h ± √(-k/a) = x . . . . add h . . . . this is the general solution
__
So, for each of your problems, fill in the corresponding numbers and do the arithmetic. If (-k/a) is a negative number, the square root gives imaginary values, so there is "no solution".
1. x = 5 ± √9 = {5 -3, 5 +3} = {2, 8} . . . . the x-intercepts are 2 and 8
2. x = -3 ± √(-2) . . . . . . no solution; the roots are complex
3. x = 5 ± √(-8/4) . . . . . no solution; the roots are complex
