Determine whether the system of equations has no solution, one solution, or infinitely many solutions

Mathematics

1 answer:

Vinil7 [7]3 years ago

4 0

Answer:

one solution

Step-by-step explanation:

y=-3x+5

y=1/2x-2

You can tell straight off the bat, it does have a solution, and it isn't infinite solutions. If it had no solution, it would have the same slope but different y-intercepts. If it had infinite solutions, the 2 equations would have to be the exact same. So there is only one solution.

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hope it helps

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Step-by-step explanation:

Hi there!

We're given angle B and the length of a in this right triangle. We must solve for the length of b. a and b are the two legs of the right triangle.

In this case, we can use the tangent ratio:

$tan\theta=\displaystyle\frac{opposite}{adjacent}$

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Therefore, b = 25m.

We can also use this using special triangle rules. $\displaystyle\frac{\pi}{4}$ radians is equal to 45 degrees, making this a 45-90-45 triangle. This would make a and b equal in length.