If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
Answer:
70 cubic cenimeters
Step-by-step explanation:
please give brianly!
The recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5
<h3>How to determine the recursive formula?</h3>
The explicit formula of the arithmetic sequence is given as;
f(n) = 5 + 12(n - 1)
Open the bracket
f(n) = 5 + 12n - 12
Evaluate the like terms
f(n)= 12n - 7
Calculate f(1) and f(2)
f(1)= 12(1) - 7= 5
f(2)= 12(2) - 7= 17
The difference between f(1) and f(2) is 12
Hence, the recursive formula of the sequence is f(n) = 12 + f(n -1), where f(1) = 5
Read more about sequence at:
brainly.com/question/7882626
#SPJ1
<u>Complete question</u>
The explicit formula of the arithmetic sequence is f(n)=5+12(n-1)
Determine the recursive formula
The list that orders the fractions from least to greatest is:
<h3>
Ordering of fractions</h3>
- To order the fractions from least to greatest, we have to realize their conversion to decimal.
- To realize the conversion, the numerator is divided by the denominator, as ordering decimal numbers are easier than fractions.
Hence, the fractions converted to decimal are:
.
.
Hence, the list from least to greatest is, according to the results of the conversions:
To learn more about ordering of fractions, you can take a look at brainly.com/question/26139168
You would need to combine like terms to find your answer.
6x - 3 = 5x + 7
You would subtract 5x from both sides. Remember, x = 1x
x - 3 = 7
Lastly, you would add 3 to both sides.
x = 10
I hope this helps!