Answer:
x = -9
Step-by-step explanation:
The attachment shows the labeling according to the problem statement.
The overall length is the sum of the constituent segment lengths, so ...
FG + GH = FH
(10 +x) +(7) = (2x +26)
x +17 = 2x +26
x -9 = 2x
-9 = x
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<em>Check</em>
Then the segment length FG is ...
10 +x = 10 -9 = 1
and the overall length is ...
2x +26 = 2(-9) +26 = -18 +26 = 8
That is, 1 + 7 = 8.
Answer:
(8,11)
Step-by-step explanation:
1st line
y = x+ 3
We need to find the equation of the other line
We have two points (3, 1) and (4, 3)
Slope
m = (y2-y1)/(x2-x1)
= ( 3-1)/(4-3)
= 2/1 = 2
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y =2x+b
Using the point (4,3)
3 = 2(4)+b
3 = 8+b
3-8=b
-5 =b
y = 2x-5
We have 2 lines
y =x+3 and y = 2x-5
Setting them equal to each other
x+3 = 2x-5
Subtract x from each side
x+3-x = 2x-5-x
3 = x-5
Add 5 to each side
3+5 =x-5+5
8=x
Now we can find y
y =x+3
y = 8+3
y=11
The area is 279. You do 11×19 to get the bottom portion. That will give you 209. Then for the top subtract 11 from 18 to get that side length and then do 7×10. With that you will get 70 and then you add 209 to that. 209+70=279.
The easiest way to figure this out is by first subtracting 700 from 750 to make sure we don't get confused. Now that you have 50 dollars left what would be best to do would be divide the 50 (because you have 50 dollars left) by the amount per mile (.15). That should be 333.33333333. Rounded it would be 333 miles.
