Answer:
Neither, x can be a negative number as well. If there is context, please post more to the question.
Step-by-step explanation:
Answers:
hypotenuse = 20 feet
longer leg = 16 feet
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Explanation:
c = x = length of the hypotenuse
a = x-4 = length of one of the legs
b = 12 = length of the other leg
Use the pythagorean theorem
a^2 + b^2 = c^2
12^2 + (x-4)^2 = (x)^2
144 + x^2 - 8x + 16 = x^2
144 - 8x + 16 = 0 .... the x^2 terms cancel
160-8x = 0
160 = 8x
8x = 160
x = 160/8
x = 20 is the hypotenuse
x-4 = 20-4 = 16 is the longer leg
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Check:
12^2+16^2 = 144+256 = 400
20^2 = 400
Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.
Answer:
The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.
Step-by-step explanation:
We are looking for a function that has the following points:
B(0) = 1500
B(4) = 1200
B(7) = 975
Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:
B(t) = -75*t + 1500
To check if this expression is valid, we will apply the values provided on the problem:
B(0) = -75*0 + 1500 = 1500 (valid)
B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)
B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)
When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:
B(t) = -75*t + 1500 = 0
-75*t + 1500 = 0
75*t = 1500
t = 1500 / 75 = 20 months
It'll take her 20 months to pay the loan.
Given data:
The first given length is AC=53.
The second given length is AB= 45.
The expression for the Pythagoras theorem is,
Here, consider only positive sign of BC length as side cannot negative.
Thus, the BC length is 28.