Answer:
Step-by-step explanation:
<u>Given points:</u>
<u>Midpoint by using midpoint formula:</u>
- x = (-6 + 1)/2 = -3.5
- y = (-1 + 2)/2 = 0.5
- M(-3.5, 0.5)
FOIL: first term, outer term inner term, last term
Answer:
Step-by-step explanation:
You use the given information in the standard form of a circle equation to solve for r. We have (h, k) which is the center and a point (x, y). The standard equation for a circle is

Filling in:
and
and

Now that we used the coordinate we don't need it anymore. x and y go back into the equation as x and y, not numbers. We do, however, need the center. Writing the equation:
which is choice D.
Answer:
x=3
Step-by-step explanation:
Because DE // AC
so DB/BE = DA/EC
x+5/4=2x/3
4(2x)=3(x+5)
8x=3x+15
5x=15
x=3
Answer:
Poster’s perimeter = 150 in
Step-by-step explanation:
Given:
Width of poster = 2.5 ft = 2.5 × 12 = 30 in
Find:
Poster’s perimeter.
Computation:
Height of poster = [30×6]/4
Height of poster = 45 in
Poster’s perimeter = 2 [Width of poster + Height of poster]
Poster’s perimeter = 2 [30+45]
Poster’s perimeter = 2 [75]
Poster’s perimeter = 150 in