Answer:
Step-by-step explanation:
To find : Acceleration in first 15 min . Distance between two cities Average speed of journey
Solution:
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Distance between two cities
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
Average Speed of journey = 125/2 = 62.5 km/hr
Acceleration in first 15 min = 200 km/h²
Distance between two cities = 125 km
Average Speed of journey = 62.5 km/hr
Hope this helps..
20 = 8 + v equals v = 12.
First, subtract 8 from both sides. Your problem should look like: 20 - 8 = v
Second, simplify 20 - 8 to get 12. Your problem should look like: 12 = v.
Third, switch sides to get v = 12, which is the correct answer.
Answer:
Step-by-step explanation:
We want to make equation into slope intercept form.
Like this: y=mx+b
(mx and b are interchangeable)
Step 1) Convert equation
8x-5y=-11
Sub Step a) subtract 8x on both sides
8x-5y=-11 => -5y = -11-8x
-8x -8x
Sub step b) get y alone
-5y/-5 = -11/-5 - 8x/-5
Equation: y = 11/5 + 8x/5
Step 2) Y-intercept
B is the y-intercept.
B = 11/5
y-intercept is (0,11/5)
Step 3) X-intercept
Substitute 0 for y in our equation
0=11/5+8x
Subtract 8x on both sides
-8x = 11/5
Divide by -8 on both sides
x = -11/40
x-intercept is (-11/40,0)
If it is circle and the circle have the center at point O then the OP=1/2of length AB.
