2
,−7)V, left parenthesis, square root of, 2, end square root, comma, minus, 7, right parenthesis lie?
Answer:
inside the circle
Step-by-step explanation:
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The point V(√2, -7) lies inside the circle centered at K(0,0) with point U(6, -4) on it. This is determined by comparing the distances (or radii) from the circle center to the points.
To determine where the point V(√2, -7) lies in relation to the circle centered at K(0,0) with point U(6, -4) on the circle, we first need to identify the radius of the circle. The radius can be found using the distance formula for points in the Cartesian plane,
Distance = √[(x2-x1)^2 + (y2-y1)^2]
So the distance between points K(0,0) and U(6, -4) (which is the radius of our circle) is √[(6-0)^2 + (-4 - 0)^2] = √[36 + 16] = √52
Now we calculate the distance between the circle center K(0,0) and point V(√2, -7) using the same formula. This results in a distance of √[(√2 - 0)^2 + (-7 - 0)^2] = √[2 + 49] = √51.
Since √51 is less than √52, the point V(√2, -7) lies inside the circle.
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The expression finds the measure of an angle that is coterminal with a 300° angle is 300° – 720°.
Coterminal angles are angles that, when drawn in standard position, have terminalsides in the same place.
Any angles that are coterminal are some multiple of 360° different in measure.
This is because, in order to be coterminal, they must travel the entire circle at least once, possibly more times.
The expression finds the measure of an angle that is coterminal with a 300° angle is;
Out of the given options, the only one that is a multiple of 360° is 300° – 720°.
Hence, the expression finds the measure of an angle that is coterminal with a 300° angle is 300° – 720°.
Learn more about coterminalangles here;
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Answer:
Step-by-step explanation:
Range: [3, 8]
Answer:
Step-by-step explanation: