Answer:
G = 2/3
Step-by-step explanation:
-13G + 10 = 2(-5G + 4) Distribute the 2 to (-5G + 4)
-13G + 10 = -10G + 8
+13G +13G Add 13G to both sides
10 = 3G + 8
-8 -8 Subtract 8 from both sides
2 = 3G Divide both sides by 3
2/3 = G
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Set up a proportion
EA / EB = ED/ EC
16 / (5x + 2 + 16) = 12 / (12 + 24)
16/(5x + 18) = 12 / 36 Cross multiply
16 * 36 = (4x + 18)*12 Remove the brackets
576 = 48x + 216 Subtract 216 from both sides.
360 = 48x Divide by 48
360/48 = x
7.5 = x
Answer:
when x=6, y=30
when x=7.5, y=37.5
Step-by-step explanation:
Just plug in the value of x into the equation y=5x
so when x=6, the equation will be y=5(6). In this case y=30
when x =7.5, the equation will be y=5(7.5). So y=37.5
Answer:
y - 4 = (4/3)(x - 1)
Step-by-step explanation:
point slope form is
y - y1 = m(x - x1)
m is the slope
(x1, y1) is a point on the line
----------------------------
for m = 4/3 and (x1, y1) = (1, 4)
y - 4 = (4/3)(x - 1)
Answer:
y = -4x - 32
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(8 - 4) / (-10 + 9)
4 / -1
= -4
So, the slope is -4. Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
4 = -4(-9) + b
4 = 36 + b
-32 = b
Then, plug in the slope and y intercept into y = mx + b
y = -4x - 32 is the equation of the line
