Get the equation of the line containing PQ using the point-slope formula:
<em>y</em> - (-2) = 3/2 (<em>x</em> - (-6))
Solve for <em>y</em> to get it in slope-intercept form:
<em>y</em> = 3/2 <em>x</em> + 7
so the <em>y</em>-intercept is (0, 7).
The line containing QR is then
<em>y</em> - 7 = -3/4 (<em>x</em> - 0)
or
<em>y</em> = -3/4 <em>x</em> + 7
The point R is on the <em>x</em>-axis, so its <em>y</em>-coordinate is 0. Plug in <em>y</em> = 0 and solve for <em>x</em> to get the other coordinate:
0 = -3/4 <em>x</em> + 7
3/4 <em>x</em> = 7
<em>x</em> = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
Answer:
f(-3)= 15
Step-by-step explanation:
f(-3) means x is equal to -3
-3 squared - 2(-3)
-3*-3 -2(-3)
*Negative multiplied by a negative equals a positive
9+6= 15
f(-3)= 15
Hope this helps!
Answer:
300 cm
Step-by-step explanation:
20 cm times 20 cm for the area of the whole rectangle.
Then you do 10 cm times 10 cm for the area of the inner rectangle.
Lastly you subtract the area of the inner rectangles from the whole rectangle itself to get 300 cm which is the area of the shaded region.
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