0≤h(t)≤144, which means that the height of the object can be between 0 and 144 feet, including those limits.
Time=(distance)/(speed)
speed=55 mi/hr
Total distance=440 miles
Distance covered=275 miles
remaining distance=440-275=165 miles
Time taken to cover the remaining distance will be:
time=165/55=3 hours
Total time taken to travel=440/55=8 hours
if we are to use the equation given by:
55h+275=440
time taken will be found by solving for h, thus we shall have:
55h=440-275
55h=165
h=165/55
h=3 hours
Answer: 3 hours
Answer:
roughly 23.8 (Rounded up is 24) students are seniors
Step-by-step explanation:
First we change 28% to a decimal: 0.28
Multiply 0.28 by 85: 0.28*85=23.8
So roughly 23.8 (rounded up is 24) is the answer
Answer:
Step-by-step explanation:
Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.
We'll find the equation of the line and solve the system to find the center.
<u>Midpoint of the chord:</u>
- ((-1 + 2)/2, (2 + 3)/2) = (0.5, 2.5)
<u>Equation of the line through chord (-1,2) and (2,3):</u>
- m = (3 - 2)/(2 + 1) = 1/3
- y - 2 = 1/3(x + 1)
- y = 1/3x + 7/3
<u>Perpendicular bisector is:</u>
- y - 2.5 = -3(x - 0.5)
- y = -3x + 4 >> (1)
<u>And the given line is:</u>
- 2x - 3y + 1 = 0
- y = 2/3x + 1/3 >> (2)
<u>Solve the system:</u>
- -3x + 4 = 2/3x + 1/3
- -9x + 12 = 2x + 1
- 11x = -11
- x = -1
<u>Find y:</u>
- y = -3(-1) + 4 = 3 + 4 = 7
The center is (-1, 7)
<u>Find the radius, the distance from center to one of points on circle </u>
- (-1, 7) and (-1, 2)
- 7 - 2 = 5
<u>The equation of circle is:</u>
- (x + 1)² + (y - 7)² = 5²
- (x + 1)² + (y - 7)² = 25
Answer: (2,1.5)
Step-by-step explanation:i just took it