Answer:
Step-by-step explanation:
we have
solve for x
That means ----> isolate the variable x
Divide by k both sides
Adds 7 both sides
Rewrite
Answer:
c = -54
Step-by-step explanation:
Solve for c:
(7 c)/8 - 3 (c/8 - 7) = -6
Put each term in c/8 - 7 over the common denominator 8: c/8 - 7 = c/8 - 56/8:
(7 c)/8 - 3 c/8 - 56/8 = -6
c/8 - 56/8 = (c - 56)/8:
(7 c)/8 - 3(c - 56)/8 = -6
(7 c)/8 - (3 (c - 56))/8 = (7 c - 3 (c - 56))/8:
(7 c - 3 (c - 56))/8 = -6
-3 (c - 56) = 168 - 3 c:
(7 c + 168 - 3 c)/8 = -6
7 c - 3 c = 4 c:
(4 c + 168)/8 = -6
Multiply both sides of (4 c + 168)/8 = -6 by 8:
(8 (4 c + 168))/8 = -6×8
(8 (4 c + 168))/8 = 8/8×(4 c + 168) = 4 c + 168:
4 c + 168 = -6×8
8 (-6) = -48:
4 c + 168 = -48
Subtract 168 from both sides:
4 c + (168 - 168) = -168 - 48
168 - 168 = 0:
4 c = -168 - 48
-168 - 48 = -216:
4 c = -216
Divide both sides of 4 c = -216 by 4:
(4 c)/4 = (-216)/4
4/4 = 1:
c = (-216)/4
The gcd of -216 and 4 is 4, so (-216)/4 = (4 (-54))/(4×1) = 4/4×-54 = -54:
Answer: c = -54
The answer is A. The only multiple of 9 that is between 70 and 80 is 72. 72 divided by 9 equals 8.
Answer:
y = 4x - 3
Step-by-step explanation:
When we re-write the given equation into its slope-intercept form, it will like this:
y = (-1/4)x - 6
This line has a slope equal to -1/4 so the slope of the required line has a slope of +4 (perpendicular to the given line). Use this new slope and the given point P0(-1, -7) into this equation:
y - y0 = m(x - x0) ---> y + 7 = 4(x + 1)
Rearranging the terms into its slope-intercept form, we get
y = 4x - 3
