The perimeter is 41.7
Find the length of each side using the distance formula:

Adding the side lengths, we have
14+7.8+19.9=41.7
Answer:
m=2
Step-by-step explanation:
Answer:
x = 3/5
Step-by-step explanation:
-4(-2x + 5) + 2x + 3 =-11
Distribute
8x-20 +2x+3 = -11
Combine like terms
10x-17 = -11
Add 17 to each side
10x-17+17 = -11+17
10x =6
Divide by 10
10x/10 = 6/10
x = 3/5
Answer:
x=-2.5 if the function is
Step-by-step explanation:
has discontinuities when the denominator is 0.
You will either have a hole or a vertical asymptote depending on what happens to the numerator after you find when the bottom is 0.
That is whatever you found that makes the bottom 0, if it makes the top also 0 then you will have a hole at x=the number that made the bottom 0.
If it makes the top anything other than 0, then it is a vertical asymptote at x=the number you found that made the bottom 0.
Let's do this now.
When is -4x-10 equal to 0?
We have to solve the equation:
-4x-10=0
Add 10 on both sides:
-4x=10
Divide both sides by -4:
x=10/-4
Reduce by dividing top and bottom by 2:
x=5/-2
x=-5/2
or
x=-2.5 (if you want decimal form)
Now does it make the top 0? This is the deciding factor on whether you have a hole at x=-2.5 or a vertical asymptote at x=-2.5.
Let's see.
8(-2.5)-3=-23
Since the top is not 0 at x=-2.5 then you have a vertical asymptote at x=-2.5.
If the top were 0, then you would have had a hole at x=-2.5.
<h2>
The city's PR manager was wrong because the mean score of all ninth graders in the city is 83.</h2>
Step-by-step explanation:
The given observations are:
81, 96 and 72
The total number of observations = 3
We know that,
Mean = 


= 83
∴ The mean score of all ninth graders in the city = 83
The city's PR manager was wrong because the mean score of all ninth graders in the city is 83.