<h3>
Answer: 1</h3>
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Explanation:
Pick any two points you want from the blue line. I'll pick (0,1) and (1,2)
Apply the slope formula to those points
m = (y2-y1)/(x2-x1)
m = (2-1)/(1-0)
m = 1/1
m = 1
The slope is 1.
Notice how if we're at (0,1), then we move up 1 and over to the right 1 to arrive at (1,2).
slope = rise/run = 1/1
rise = 1, run = 1
Answer:
X= -3
Step-by-step explanation:
3x-9=8x+6
3x-8x=6=9
-5x=15
x=-3
What’s the x your trying to find
Answer:
An apple costs $2.25. A mango costs $1.25.
Step-by-step explanation:
Let a = price of 1 apple.
Let m = price of 1 mango.
Cameron:
4 apples + 7 mangoes ----> total $17.75
4a + 7m = 17.75
Gavin:
2 apples + 5 mangoes ----> total $10.75
2a + 5m = 10.75
We have a system of 2 equations in 2 unknowns.
4a + 7m = 17.75
2a + 5m = 10.75
We can use the elimination method to eliminate the variable <em>a</em>. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.
4a + 7m = 17.75
(+) -4a - 10m = -21.5
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-3m = -3.75
Divide both sides by -3.
m = 1.25
<em>A mango costs $1.25.</em>
Now we use the first equation and substitute 1.25 for <em>m</em> and solve for <em>a</em>.
4a + 7m = 17.75
4a + 7(1.25) = 17.75
4a + 8.75 = 17.75
4a = 9
a = 2.25
<em>An apple costs $2.25.</em>
Answer: An apple costs $2.25. A mango costs $1.25.
Volume of a cylinder is

, where r is the radius and h is the height.
This comes from the area of a circle being

. A cylinder is the area of the base circle multiplied by its height.
Using this formula, the volume of the given cylinder is