Answer:
y2-y1/x2-x1
=-7-5/5-(-5)
=-12/10
=-6/5
Step-by-step explanation:
Given two points on on a line to find the slope we use the formula y2-y1/x2-x1 , hence the answer above.
The slope is -4/4 but it reduces down to -1 so that’s your answer
Answer:
x = 10, theta = 30 degrees
Step-by-step explanation:
i. 6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.
You could also solve it with the law of sines:
sin(90)/12 = sin(x)/6
Multiply each side by 6
6 * sin(90)/12 = sin(x)
0.5 = sin(x)
x = 30 degrees
a) Is the twitch - initial positive twitch or sudden movement, which is what
makes the car jolt into action.
b) is the acceleration - graph shows the acceleration and
deceleration of the car.
c) is the velocity - starts at 0 and increases until the car
travels at its right speed.
d) is the position - assuming that the car is going on only
one direction. This graph is the only one that does not go back to the x-axis.
A translation of 
units upwards and 
units to the right is represented by the transformation
So, to translate 5 right and 7 down, we need
Now we just need to plug x=x-5 and y=y+7 in our equation (remember f(x)=y):
The answer is
