Answer: 3/2
Step-by-step explanation:
Answer:
Slope is defined as rise over run, which can be expressed as the difference of the y-coordinates divided by the difference of the x-coordinates. If we rise, we are moving vertically, or along the y-axis. If we run, we are moving horizontally, or along the x-axis.
The formula for the slope m of a line given two points (x1, y1) and (x2, y2) that lie on the line is:
m = (y2 - y1)/(x2 - x1)
m = (15 - 5)/(-6 - 4)
m= 10/-10
m = -1
Now, we can use the slope-intercept form of the equation of a line to obtain the equation of the line that satisfies the conditions outlined in the problem. Slope-intercept form is:
y = mx + b
Again, m represents the slope, while b stands for the y-intercept. We can use either point on the line to represent x and y. Let's choose the point (4, 5)
5 = -1(4) + b
5 = -4 + b
9 = b
The equation of the line is:
y = -x + 9
Answer:
155
Step-by-step explanation:
Answer:
4 seconds
Step-by-step explanation:
When the ball is on the ground h = 0, hence
- 16t² + 64t = 0 ( solve for t )
factor out - 16t
- 16t(t - 4) = 0
equate each factor to zero and solve for t
- 16t = 0 ⇒ t = 0
t - 4 = 0 ⇒ t = 4
the 0 solution is the height of the ball before being hit and
the time the ball takes to hit the ground is 4 seconds
Answer:
10(x - 12)
Step-by-step explanation:
10(x - 12)
10x - 120 Distributive Property
