The difference means subtract
89.4 - 13.621 = 75.779
Answer:
17.96m/s
Step-by-step explanation:
Based on law of conservation of momentum;
m1u1 +m2u2 =(m1+m2)v
v is the velocities of the car after impact
Substitute the given values
1300(20)+900(15) = (1300+900)v
26000 + 13500 = 2200v
39500 = 2200v
v = 39500/2200
v = 17.96m/s
Hence the speed of the cars after impact is 17.96m/s
#1
(-1,1)
#2
(-1,-5)
#3
last one
#4
y = x - 3(third one)
Answer:
y = 2x + 8
Step-by-step explanation:
Recall that two parallel lines have the same slope.
Thus, if we begin with y = 2x - 4, we know that this new line through (-1, 6) will also have slope 2.
Starting from the slope-intercept form y = mx + b, we substitute 2 for m, -1 for x and 6 for y:
6 = 2(-1) + b
and solve for the new y-intercept, b:
6 = -2 + b, or
b = 8
Then the new line has the equation y = 2x + 8
Answer:
3 is the root of the equation.
Step-by-step explanation:
We have to find the root of the polynomial equation x(x-2)(x+3)=18.
We can find the same by using a graphing utility and the system of equations.
We can make two equations which are given by

Now, we plot the graph of these equations and the x-coordinate of the intersection point will be the root of the equation.
the graph has been shown in the attached file.
The intersection point is (3, 18) and the x-coordinate is 3.
Therefore, 3 is the root of the equation.