Your friend's house is 4.5 miles north and 6 miles east of the firehouse. how far is your friend's house from the firehouse?

9514 1404 393

  7.5 miles

Step-by-step explanation:

The distances are in the ratio 4.5/6 = 3/4, suggesting that the triangle whose sides are the north distance, the east distance, and the straight-line distance is a 3-4-5 right triangle. The scale factor is 4.5/3 = 1.5. So, the straight-line distance from the firehouse is 1.5×5 = 7.5 miles.

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Maybe you're not familiar with a 3-4-5 right triangle, so you need to compute the distance using the Pythagorean theorem. Then the straight-line distance (hypotenuse) is given by ...

  d² = 4.5² +6²

  d² = 20.25 +36 = 56.25

  d = √56.25 = 7.5

The straight-line distance from the firehouse to your friend's house is 7.5 miles.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

plz yuo

step-by-step explanation: