Solve each system of equations by graphing y=-1/2x+5 and y=3x-2

1 answer:

3 0

Just make the equations equal to each other. -0.5x+5=3x-2. Solve for x and find that it is 2, via simple algebra. Since you know x is 2, sub it in in either equation to find y. y should be 4. So the point that fits both equation is (2,4). This shows that the two graphs of these lines will intersect at this exact point.

If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.

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The figure shows the location of three points around a lake. The length of the lake, BC, is also shown.

Anastaziya [24]

A right triangle ABC is formed when we join three points around a lake.
Length of the side AC = 6 miles.
Length of the side BC = 2 miles.
We have to find Length of side AB.
Using Pythagorean theorem for Right triangle ABC , Right angled at B
→AB² + BC²= AC²
→ AB² + 2²= 6²
→ AB² = 36 - 4
→ AB²= 32
→ AB = √ 32
→→AB = 5.66 (approx)
Option (B) AB = 5.66 is Right choice.

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2 years ago

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lana66690 [7]

Answer:

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2. 3 and 1/6

Step-by-step explanation:

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3 years ago