Slope = 2/3 (positive 2/3)
You use the formula Y2-Y1/X2-X1 in order to get the slope
Let x be the original side length of the square
P=2(l+w)
70=2((2.5+x)+(2.5+x))
70=2(5+2x)
70/2 = 5+2x
35-5=2x
30=2x
15=x
Therefore, the original length of the square was 15"
Hope I helped :)
You can subtract 4x from each side of the equation.
Then you'll have the variable only on one side.
Before: 5x - 7 = 4x - 1
After: x - 7 = - 1
Now it's a lot easier to solve.
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I just noticed that you're giving 10 points for this one.
That's a bunch, so I guess I owe you some more ...
I really ought to go ahead and finish the solution:
Original equation: 5x - 7 = 4x - 1
Subtract 4x from each side: x - 7 = - 1
Add 7 to each side: x = 6
(Once you subtracted 4x from each side,
there really wasn't much more left to do.)
Answer:
Length: 16 feet
Width: 25 feet
Step-by-step explanation:
Alright so let's set up our system:
The area of a rectangular patio is 400 square feet.: L*W = 400
The length of the patio is 9 feet more than its width: L = W - 9
If you look here, all we need to do now is plug in L and solve.
(W - 9)W = 400
W^2-9W - 400 = 0
You can attempt to factor this in a number of ways. I recommend a factor tree, but however you do that is fine.
(W + 16)(W - 25) = 0
so we have two W values now, 25 and -16. Which one do we pick? We pick 25, because we cannot have a negative Width. That would literally break the universe.
So now we plug in 25 in our second equation to get L:
L = 25 - 9
L = 16
And now we have both our answers!
Answer:
√16 or 10.77033
Step-by-step explanation:
distance formula
