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3 years ago

9

sam and jake live 8 km from each other, Sam skateboards 10 km in the same time as jake rides his bike 15 km. if they both leave

home at the same time an travel towards each other how far from jakes home will they meet ?

1 answer:

lesya [120]3 years ago

5 0

10 km from jakes home

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Please help, i’ll give brainiest answer :)<br> [Image]

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Answer: 20

<u>Step-by-step explanation:</u>

Step 1: Find the vertices (intersections) of the constraints by either graphing or solving the system of equations. I graphed them and found two of the vertices: (0, 1) and (4,0) but needed to solve the system to find the third vertex (point of intersection).

-x + 3 = $\frac{1}{3}x$ + 1

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2 = $\frac{4}{3}x$

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= $\frac{1}{2}$ + 1

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Third vertex is at $(\frac{3}{2},\frac{3}{2)}$

Step 2: Input the vertices into the objective function: C = 5x - 4y

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Answer:

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Let x be the second angle. First angle is 31+x. Third angle is 2*(31+x)-5 = 62+2x-5 = 2x+57

All angles in a triangle add upto 180°

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4x+88=180

Subtract 88 from both sides,

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Divide by 4,

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