The lengths of the other two sides of the right triangle are 12 and 13
<h3>Pythagorean theorem </h3>
From the question, we are to determine the lengths of the other sides of the triangle
From the given information,
The other sides have lengths that are consecutive integers
Thus,
If the length of the other side is x
Then,
The hypotenuse will be x + 1
By the <em>Pythagorean theorem</em>, we can write that
(x+1)² = x² + 5²
(x+1)(x+1) = x² + 25
x² + x + x + 1 = x² + 25
x² - x² + x + x = 25 - 1
2x = 24
x = 24/2
x = 12
∴ The other leg of the right triangle is 12
Hypotenuse = x + 1 = 12 + 1 = 13
Hence, the lengths of the other two sides are 12 and 13
Learn more on Pythagorean theorem here: brainly.com/question/4584452
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Answer:
f^-1(x) = -1/8x +1/4
Step-by-step explanation:
To find the inverse of a function
Exchange x and y and then solve for y
y =-8x+2
Exchange x and y
x = -8y+2
Now solve for y
Subtract 2 from each side
x-2 = -8y+2-2
x-2 = -8y
Divide by -8
(x-2)/-8 = -8y/-8
Distribute
-1/8x +1/4 = y
f^-1(x) = -1/8x +1/4
Answer:
$15,000
Step-by-step explanation:
The $1500 interest on a home equity loan used for purposes other than home improvement is not deductible with other home loan interest as an itemized deduction.
However, the interest on a loan for qualified educational expenses may be considered an adjustment to income, within limits.
Only the $15,000 main mortgage interest can be an itemized deduction.
Answer: Patrick from Bikini bottoms!
Step-by-step explanation:
