Answer:
x = y/2 - 1/2
Step-by-step explanation:
you can use the slope-intercept form of a line first, then change to terms of 'x'
y = mx + b where 'm' is the slope and 'b' is the y-intercept
if we use two points on the line, such as (-1, -1) (0, 1), we can find the slope
m = 1-(-1) / 0-(-1)
m = 2/1
b = 1
Slope-Intercept form: y = 2x + 1
in terms of 'x':
2x = y - 1
x = y/2 - 1/2
Volume is in cubic units, meaning the volume ix raised to the 3rd power.
If the cube is scaled by 5, then the volume is scaled by 5^3.
5^3 = 5*5*5 = 125
The new volume would be the original volume multiplied by the total increase:
64 x 125 = 8,000 cubic meters.
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
Youncant because it is not an even number
it is a vertex because a vertex is an x to y intercept
