8 = 8v - 4 (v + 8)
Distribute the 4 through the parentheses
8 = 8v - 4v - 32
combine like terms
8 = 4v - 32
add 32 to both sides
8 + 32 = 4v -32 + 32
combine like terms
40 = 4v
divide each side by 4
40/10 = v
4 = v
v= 4
Answer:
500 kilometers
Step-by-step explanation:
The fuel (y) Karl has in his car is a function of the distance (x) Karl travelled. The amount of fuel (y) is dependent on the distance (x) Karl travelled.
On the y-axis, we have amount of fuel.
On the x-axis, we have distance travelled.
At the time Karl travelled when he had 200 liters of fuel (y) remaining in his car, he had travelled a distance (x) of 500 kilometers.
We know this by looking at the graph given. When x (distance) = 500, y (fuel) = 200.
For the first 6, we see that it is exactly one place behind the decimal point, therefore meaning that it is in the tenths place. The second 6 is three places behind the decimal place making it in the thousandths place. The third and final 6 is one place in front of the decimal, therefore it is in the ones place. Hope this helps!
Answer: see attachments
<u>Step-by-step explanation:</u>
Slope-Intercept format is: y = mx + b
↓ ↓
↓ Intercept (where it crosses the y-axis)
Slope (rise over run)
In a rectangle, the diagonals are equal. You need to set the two equal to each other. The line BE would be doubled to equal AC. Then solve:
2(2x-3)=3x+1
4x-6=3x+1
x=7
Now that you have x, you can find AC. Just plug it in.
3(7)+1
21+1
22
There you have it! AC=22
