<u>Answer</u>
B(18/5,0)
<u>Explanation</u>
First we find the coordinates of C;
C (x, y) = [(-3+7)/2, (2+6)/2]
= (2, 4)
Find the equation of CD.
slope = (6-2)/(7--3)
= 4/10 = 2/5
slope of CD = -5/2
-5/2 = (y - 4)/(x - 2)
-5/2(x - 2) = y - 4
(-5/2) x + 5 = y - 4
y = (-5/2)x + 9
For the x-intercept y = 0
∴ y = (-5/2)x + 9
0 = (-5/2)x + 9
5/2 x = 9
x = 2/5 × 9
= 18/5
x-intercept = (18/5, 0)
If you look at all 4 of these tables. Exponential means a large increase or gradual increase so. With that in mind if you look at table 1, the y column only increases by 5. For B, the y column only increases by 1. For C, the y column increase by 4 then 8 then 16 then 32. Therefore it is exponential. For D it is consistently an increase of 8.
Hope this helps!
Answer:
Distance between A and B is 5400 meters
Step-by-step explanation:
Consider "D" the letter to identify distance between A and B
Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:
Recall that distance equals the speed times the time:
distance= speed * time
First encounter:
100 * t = D - 80 * t
180 * t = D Equation (1)
Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .
Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:
100 *(t+6) = D - 75 * (t+6)
100 t + 600 = D - 75 t - 450
175 T + 150 = D Equation (2)
Now, let's equal equation (1) to equation (2), since D should be the same:
180 t = 175 t + 150
5 t = 150
t = 30
Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:
From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters
