Answer:
3 − m = −2 (m + 6); m = −15 Yes
5 (p + 3) = −35; p = −4 No
8q = 3 (10 + q); q = 6 Yes
Step-by-step explanation:
3 − m = −2 (m + 6)
3 - m = -2m - 12
m = -15
Answer is Yes
5 (p + 3) = −35
5p + 15 = -35
5p = - 50
p = -10
Answer is No
8q = 3 (10 + q)
8q = 30 + 3q
5q = 30
q = 6
Answer is Yes
Answer:
1. T
2. O
3. L
4. C
5.B
6.H
Step-by-step explanation:
Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
50 degrees
All triangles have 180 degrees total.
Since it’s an isosceles triangle, the 2 bottom angles are congruent; thus, they have the same angle measurement.
Now just subtract the two angles from 180 to get the third angle.
180 - 65 - 65 = 50
