The x-coordinate of the midpoint is the average of the x-coordinates of the endpoints. The y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
x-coordinate of midpoint: (-4 + 0)/2 = -4/2 = -2
y-coordinate of midpoint: (9 + 7)/2 = 16/2 = 8
Answer: The midpoint is (-2, 8).
The definition of the piece-wise function is:
.
<h3>What is a piece-wise function?</h3>
A piece-wise function is a function that has different definitions, depending on the input.
In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:
m = (6 - (-4))/(2 - (-2)) = 2.5.
The y-intercept is of b = 1, hence the rule is:

For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:
.
More can be learned about piece-wise functions at brainly.com/question/27262465
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<u>Answer:</u>
The correct answer option is c.
.
<u>Step-by-step explanation:</u>
We are given an expression
and we are supposed to simplify it.
We can also write
as
.
We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.
So multiplying the exponents to get:

Therefore, the correct answer option is c.
.
Answer:
63.5 in
Step-by-step explanation:
y2-y1/x2-x1
28.5-21/2.5-1 = 5
y=mx+b
21=5(1)+b
21-5= 16
b=16
y=mx+b
y=5(9.5) + 16
=63.5
Answer:
The model is shown in the attached picture. The solution is 10.
Step-by-step explanation:
There are two way of showing a model for 2×5
- The tape diagram has 2 equal-sized parts of 5
- The tape diagram has 5 equal-sized parts of 2
Both models give the same solution:
- 5+5=10
- 2+2+2+2+2=10
In the attached picture we can show two types of diagram.