Hi there!

Find the midpoint using the midpoint formula:
m = (p1 + p2) / 2
m = (-2 + 12) / 2
m = 10 / 2
m = 5.
Answer: -9y
Step-by-step explanation:
Step1: -3 is multiplied by y = -3y
Step 2: -3 multiplied by 2 = -6
Step 3: -3y + -6
Answer:
<h3>k = 10</h3>
Step-by-step explanation:
Given the equation;

We are to find the value of k.
Cross multiply;

Divide both sides by 10

Hence the value of k is 10
The difference between the 6th term and the 9th term of the sequence is 135
<h3>How to determine the difference</h3>
Given that the nth term is;
3n² + 11
For the 6th term, the value of n is 6
Let's solve for the 6th term
= 3( 6)^2 + 11
= 3 × 36 + 11
= 108 + 11
= 119
For the 9th term, n = 9
= 3 (9)^2 + 11
= 3( 81) + 11
= 243 + 11
= 254
The difference between the 6th and 9th term
= 254 - 119
= 135
Thus, the difference between the 6th term and the 9th term of the sequence is 135
Learn more about algebraic expressions here:
brainly.com/question/4344214
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Answer:
180 degrees per second.
Step-by-step explanation:
We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).
Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.
We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.
As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,
Therefore, the tire is turning 180 degrees per second.