Answer:
9 in, or B
Step-by-step explanation:
We can easily apply the Pythagorean Theorem to this. You could either realize that this is a 3-4-5 Pythagorean triple or do the math by hand.
We start off by setting up the equation 12² + x² = 15². Simplifying, we get 144 + x² = 225, and then x² = 81 after subtracting 144 from both sides. Thus, the square root of x is 9, and so the answer is 9 inches.
Answer:
y = -2x + 2
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (2, -1)
Points on the y-axis (y1, y2) = (-2, 4)
To find the equation of line in slope intercept form;
First of all, we would determine the slope of the line.
Mathematically, slope is given by the formula;
Substituting into the equation, we have;

Slope, m = -2
Next, we would use the following formula to find the equation of the line;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-2) = -2(x - 2)
y + 2 = -2x + 4
y = -2x + 4 - 2
y = -2x + 2 = mx + c
Answer:
Step-by-step explanation:
Purple
pink
or cyan
The first step is to rewrite the equations given in the problem.
y = 2x - 2 → 2x - y = 2
y = 2x + 2 → 2x - y = -2
y = 2 - x → x + y = 2
y = 4 - x → x + y = 4
Then let u = 2x - y and v = x + y. Therefore we get the equations with the following bounds -2 ≤ u ≤ 2 and 2 ≤ v ≤ 4.