Answer:
14
Step-by-step explanation: B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
Answer: The correct answer is Choice A (6, -1).
Since we have the slope and the equation, we can find the y-intercept and write the equation of the line.
y = -0.75x + b
5 = -0.75(-2) + b
5 = 1.5 + b
b = 3.5
Therefore, the equation is y = -0.75x + 3.5.
Now, just plug in the points until one of that satisfies the equation. The point (6, -1) will satisfy the equation.
Answer:
m = 0 or 5
Step-by-step explanation:
m² − 5m = 0
Factor out m:
m (m − 5) = 0
Set each term to 0:
m = 0
m − 5 = 0
Solve for m:
m = 0
m = 5
Answer: 2
Step-by-step explanation:
First, solve for the slope. This can be found by looking at the y and x intercepts. At x = 0, y = 1.5. At x = 2, y = 0.
Slope is defined as Δy/Δx, or the change in y over the change in x. This means that in order to calculate the slope, you must find the difference between the values of y and divide it by the difference in the values of x for the two points to determine the slope between them.
(0 - 1.5)/(2-0) = (-1.5)/2 = -0.75 or -3/4
Now that you have the slope, we can write the equation in slope intercept form, y = mx + b, where m is the slope we calculated and b is the y intercept, 1.5.
y = (-3/4)x + 1.5