24300 :) that's the answer
Answer:
C. Student 3
E. Student 5
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to

<u><em>Verify the midpoint of each student</em></u>
student 1
we have the endpoints
(-9,0) and (11,-8)
substitute in the formula


so
The midpoint is not (-1,4)
student 2
we have the endpoints
(-6,-1) and (4,-7)
substitute in the formula


so
The midpoint is not (-1,4)
student 3
we have the endpoints
(-5,2) and (3,6)
substitute in the formula


so
<u>The midpoint is equal to (-1,4)</u>
student 4
we have the endpoints
(-3,10) and (5,-2)
substitute in the formula


so
The midpoint is not (-1,4)
student 5
we have the endpoints
(0,-3) and (-2,11)
substitute in the formula


so
<u>The midpoint is equal to (-1,4)</u>
therefore
Student 3 and student 5
Answer:
x ≈ 80.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan15° =
=
( multiply both sides by 300 )
300 × tan15° = x , then
x ≈ 80.4 ( to the nearest tenth )
Answer:
The number of blocks in one hour is the same that the unit rate, so 16 blocks per hour
Step-by-step explanation:
we know that
To find out the unit rate, divide the total blocks by the total time
so

Answer:
The solution in interval notation is:
.
The solution in inequality notation is:
.
Step-by-step explanation:
I think you are asking how to solve this for
.
Keep in mind
.


If
then
.

Subtract
on both sides:

Factor the difference of squares
:

Simplify inside the factors:


The left hand side is a parabola that faces up. I know this because the degree is 2.
The zeros of the the parabola are at x=-6 and x=2/5.
We can solve x+6=0 and 5x-2=0 to reach that conclusion.
x+6=0
Subtract 6 on both sides:
x=-6
5x-2=0
Add 2 on both sides:
5x=2
Divide both sides by 5:
x=2/5
Since the parabola faces us and
then we are looking at the interval from x=-6 to x=2/5 as our solution. That part is where the parabola is below the x-axis. We are looking for where it is below since it says the where is the parabola<0.
The solution in interval notation is:
.
The solution in inequality notation is:
.