The graph of a system of equations is shown below. Which system of equations represents the graph?

Mathematics

1 answer:

exis [7]2 years ago

8 0

I think it might be A. because when you go in y=mx+b form for the line with a y-intercept of -5 you will have a decision between A and C but if you look at the second line it crosses the y-axis at 2. so I’m prettyyyyy sure it’s A but i’m so sorry if i’m not:(

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Step-by-step explanation:

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2 years ago

Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

Paul [167]

Answer:

5 rad

Step-by-step explanation:

Recall that the length of an arc of circumference is given by the formula:

$Arc\,Length=\theta\,*\,radius$ , where $\theta$ is the subtended angle [in radians] from the circumference's center.

Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle $\theta$ using the above equation as shown below:

$Arc\,Length=\theta\,*\,radius\\81.5\,cm = \theta\,*\,16.3\,cm\\\frac{81.5}{16.3} = \theta\\\theta=5\,rad$