Answer:
x = 16.5
Step-by-step explanation:
0.5x + 1.75 = 10
Subtract 1.75 from both sides:
0.5x = 8.25
Divide both sides by 0.5
x = 16.5
Check your work!
0.5(16.5) + 1.75 = 10
8.25 + 1.75 = 10
10 = 10
x = 16.5
Answer:
- a. 6.25
- b. AT = 33
- c. y = 3
Step-by-step explanation:
a. <u>Midsegment is half the length of the parallel side:</u>
b. <u>Segment addition postulate:</u>
- AB = AT + TB = 3x + 6 + 42 - x = 2x + 48
<u>Perpendicular bisector of segment divides the segment in two equal halves:</u>
- AT = TB
- 3x + 6 = 42 - x
- 4x = 36
- x = 9
<u>AT is:</u>
c) <u>The point on the angle bisector H is equidistant from the point E and G</u>:
- EH = HG
- 5y + 10 = 28 - y
- 5y + y = 28 - 10
- 6y = 18
- y = 3
Answer:
Step-by-step explanation:
-6=3/2z
-12z=3
z=-4
The y-intercept would represent the highest point. The graph will show a parabola and this point will only be reached once.
The x-intercept would be the starting point and the ending point. You can find total distance traveled with this.
Answer:
(x - 3)^2 + (y + 1) = 25
Step-by-step explanation:
First find the midpoint of the diameter, because that represents the center of the circle.
-1 + 7
The x-coordinate of the midpoint is xm = ---------- = 3
2
2 - 4
and the y-coordinate is ym = ---------- = -1
2
And so the center of this circle is at (3, -1).
Use the Pythagorean Theorem to determine the square of the radius:
square of radius = 4^2 + (-3)^2 = 16 + 9 = 25
And so the equation of this circle is (x - 3)^2 + (y + 1) = 25
