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34kurt
3 years ago
12

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home

on the road connecting the mall and her house. What is her total distance traveled?
A) 17 miles
B) 32 miles
C) 37 miles
D) 40 miles

Mathematics
1 answer:
netineya [11]3 years ago
4 0
The answer is D 40miles

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12x + 16y = 96

Subtract 12x from both sides

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Step-by-step explanation:

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The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
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The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

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And of course we have to expand. Doing that will leave us with

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That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0
3 years ago
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Oksanka [162]

Answer:

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