Answer: 14.32 units
Step-by-step explanation:
The formula for calculate the distance between two points is:

In this case, given the points (-2,8) and (11,2), we can identify that:

Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):

Answer:
<h2>
X-intercept: (2, 0)
</h2><h2>
Y-intercept: (0, 6)
</h2>
Step-by-step explanation:
X-intercept means y-coordinate of 0:
6x +2×0 = 12
6x = 12
x = 2 ← x-coordinate
Y-intercept means x-coordinate of 0:
6×0 + 2y = 12
2y = 12
y = 6 ← y-coordinate
Answer:
x
−
9
x
^2
−
8
Step-by-step explanation:
<h3>
Answer: Choice D</h3>
Explanation:
Any time Alyssa is increasing her speed, the graph will move uphill when going from left to right.
If she slows down, then the graph will move downhill when going left to right.
Always move from left to right when reading a graph because this is how the time axis is set up.
Any flat part represents portions where her speed is constant, i.e. doesn't change.
With all that in mind, the answer is choice D because
- The first portion is going uphill (she's increasing her speed). This portion spans horizontally from 0 seconds to 20 seconds.
- The next portion is her slowing down (the graph is going downhill). This portion spans horizontally from 20 seconds to 30 seconds (so we have a 10 second duration).
- The third portion is where Alyssa is driving at some fixed speed that doesn't change. This portion is 20 seconds long.
- The last portion is Alyssa slowing down and coming to a complete stop. This portion is 5 seconds long.