<h3>Answer: Choice A</h3><h3>y = (-2/3)x + 12</h3>
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Work Shown:
We will only focus on the two points that are on the regression line.
Those two points are (3,10) and (12,4)
Let (x1,y1) = (3,10) and (x2,y2) = (12,4)
Find the slope of the line through (x1,y1) = (3,10) and (x2,y2) = (12,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 10)/(12 - 3)
m = -6/9
m = -2/3
Plug m = -2/3 and (x1,y1) = (3,10) into the point slope formula
Solve for y.
y - y1 = m(x - x1)
y - 10 = (-2/3)(x - 3)
y - 10 = (-2/3)x + (-2/3)(-3) ... distribute
y - 10 = (-2/3)x + 2
y - 10 + 10 = (-2/3)x + 2 + 10 .... add 10 to both sides
y = (-2/3)x + 12
This matches up with what the graph shows because the regression line intersects 12 on the y axis, so the y intercept is 12.
y = (-2/3)x + 12 is in the form y = mx+b with m = -2/3 as the slope and b = 12 as the y intercept.
Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees.
x can be one angle, and (x-39.2) can be the other
x + (x-39.2) = 90
2x - 39.2 = 90
add 39.2 to both sides
2x = 129.2
divide each side by 2
x = 64.6
find the measure of the other angle
64.6-39.2 = 25.4
The measures of the angles are 64.6 degrees and 25.4 degrees.
The domain is all the ones under the x and the range are the numbers under the y (that goes fo any question like that)
i think. (x+9)(x−9) i may be wrong though...