Answer:
x = 3/4
Step-by-step explanation:
f(x) = -2×2 +4x +1
f(x) = -4 +4x +1
f(x) = 4x -3
3 = 4x
3/4 = x
x= 3/4
Answer: 4 hours, $160
Step-by-step explanation:
100+15x= 40x
100= 25x
4=x
4 Hours
4*40 = 160
or 100 + 15*4= 160
Answer:
x = 35°
Step-by-step explanation:
assuming that the straight line at the bottom of the figure is actually a straight line, that means all the angles along that straight line must add up to 180 °
i.e.
40 + (2x+30) + 40 = 180
40 + 2x+30 + 40 = 180
110 + 2x = 180 (subtract 110 from both sides)
2x = 180 - 110
2x = 70
x = 35
Answer:
The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
Step-by-step explanation:
The length of the chord AB is the same as the distance OC from the center to the cord. Let OC=2x, then CA=x. By the Pythagorean theorem, the radius r of the circle is

The length of the arc ED is 4x.
Consider right triangle EFO. In this triangle, EF=2x, EO=r, then the distance OF is

The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.