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elena55 [62]
3 years ago
9

Explanation on linear equations ​

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

y=mx+b where m is the slope and b is the y intercept.

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a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas
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Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

sin 45 = \frac{y}{20} ; y = 20 sin 45 ; y= 14.14 miles

cos 45 = \frac{x}{20} ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

z^{2} = y^{2} + (40+x)^{2}

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     = 3131.08

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z = 55.96 miles

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