Remark
There are two formulas for doing this. I'll use the one that does not involve the slope. I think it will be easier for you to understand.
Step One
Decide which point is (x1,y1)
Since point P is 2/5 the way up from point A, we will call (x1,y1) point A
Step Two
Write the givens.
Point(A) = (-2,-3)
Point(B) = (3,2)
Step Three
Write the formula
x1 + ratio*(x2 - x1), y1 + ratio(y2 - y1)
Sub and solve.
-2 + 2/5 *(3 - - 2) , -3 + 2/5*(2 - -3)
-2 + 2/5(5) , - 3 + 2
-2 + 2 , - 1
P = (0 , - 1) <<<<<< Answer
If this turns out to be incorrect please notify me.
Answer:
21-9x12
Step-by-step explanation:
The only option that fits is E, because:
f(10)=4×10+10=50
If the current ratio of red to blue to green socks is 2:3:7, then t<span>here are exactly 2x red socks, 3x blue socks and 7x green socks.
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1. If amount of red socks are increased by n new socks, then t<span>here are exactly 2x+n red socks, 3x blue socks and 7x green socks and (2x+n):3x:7x=8:9:21. This means that 2x+n=8y, 3x=9y, 7x=21y. You have that x=3y and 6y+n=8y, n=2y.
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2. If amount of blue socks are increased by n+2 new socks, then t<span>here are exactly 2x red socks, 3x+n+2 blue socks and 7x green socks and 2x:(3x+n+2):7x=2:4:7. This means that 2x=2t, 3x+n+2=4t, 7x=7t. Now you have that x=t and 3t+n+2=4t, n=t-2.
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</span><span>3. Solve x=3y, n=2y, x=t, n=t-2. You obtain that t=3y, t-2=2y. Then 3y-2=2y and y=2. Hence, x=6=t, n=6-2=4.
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</span><span>Answer: n=4
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We are given:

There seems to be nothing I can do to simplify this equation. However, I can factor out an
since they both have at least an
. Here is what we get:

This is in the simplest form I can get into. I cannot do anything more to simplify this expression. This is your final answer.