Answer:
(4,4)
Step-by-step explanation:
y = 2x - 4 -------eqn 1
4y = x + 12 ------eqn 2
From eqn 1 y = 2x - 4; insert in eqn 2
4 (2x-4) = x + 12 (open the bracket)
8x - 16 = x + 12 (taking like figures to the same side, sign changes)
8x - x = 12 + 16
7x = 28
x = 28/7
x = 4
From eqn 1
y = 2x - 4
y = 2(4) - 4
y = 8 - 4
y = 4
(x,y) = (4,4)
Answer:
The height of the candle after 7 hours is 21.3 centimeters.
Step-by-step explanation:
From the information given you can assign the following values:
x1=10; y1=21
x2=28; y2=19.2
First, you have to find the slope using the following formula:
m=
m=
m=-0.1
Then, you can find the equation using the point/slope formula:
y-y1=m(x-x1)
y-21=-0.1(x-10)
y-21=-0.1x+1
y=-0.1x+22
Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:
y=-0.1(7)+22
y=-0.7+22
y=21.3
According to this, the height of the candle after 7 hours is 21.3 centimeters.
Answer:
It takes him 4 hours to paint 380 square feet of the fence.
Step-by-step explanation:
Since it took one hour to paint 95 square feet of his fence, you just divide 380 by 95 to get 4.
Sorry I don't really understand the question but
If you are looking for r in terms of w:
3w - 6r = 30
-6r = 30 - 3w
r = -5 + 0.5w
r = 0.5w - 5
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If you are looking for the exact value of x, sorry, I don't know..... (-_-")