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Alja [10]
3 years ago
15

There is a direct path from Gayle's house to the store. Due to construction, the direct route is closed and Gayle must travel 6

miles east and then 8 miles north in order to get to the store. How long is the direct path from Gayle's house to the store?
14 miles
12 miles
10 miles
Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0

Answer:

<em><u>c2=10</u></em>

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

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The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
Answer these for me please!
goldfiish [28.3K]

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3 0
3 years ago
Simplify 2 (8r2+r)-4r
taurus [48]
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4 0
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Read 2 more answers
What is the decimal value of 3 quarters and 2 dimes?
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Answer:

0.95

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6 0
3 years ago
What is the domain of g(x) = sqrt x +1
Shkiper50 [21]
There can be no negative in a sqrt 
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x+1\geq 0
x \geq -1
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7 0
3 years ago
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