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makkiz [27]
3 years ago
10

What Is the midpoint of the line segment with endpoints (1, -6) and (-3, 4)?

Mathematics
1 answer:
Reil [10]3 years ago
8 0
Slope = m = -1x length = |-3-2| = 5y length = |4-(-1)| = 5The other endpoint is to the left in this case.The end point (xn,yn) = (-3-5,4+5)=(-8,9)So (-8,9) is the other endpoint
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Solve the equation. 36^6x-1 = 6^5x
loris [4]
The answer of the question which you asked above is
36^6x-6^5x=1
7 0
2 years ago
18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

8 0
3 years ago
-6 minus -2 1/2<br>step by step explanation please ​
tatuchka [14]

Turn fraction into a decimal.

-2 1/2 = -2.5

Remember that when you subtract a negative number it automatically changes it to adding a positive number.

-6 + 2.5 = -3.5

Hope This Helped! Good Luck!

7 0
3 years ago
Read 2 more answers
There are 399 items advertised in a catalog. If the catalog is 75 pages long, what is the average number of items per page?
sukhopar [10]

Answer:

Step-by-step explanation:

Well, we can divide 399 and 75 so it would be 5.32. Round that and it would be about 5 items per page

5 0
3 years ago
kyle drew tree line segments with these lenngths: 2/4" , 2/3" , 2/6" list the fractions in order from least to graiter
exis [7]
First you find a common denominator, which is 12 ( as 4,3 and 6 all go into 12). So 2/4 becomes 6/12, as 4 multiplied by 3 is 12 and whatever you do to the denominator you must do to the numerator. Then 2/3 becomes 8/12. And 2/6 becomes 4/12. If you put these in order the answer is:

2/6, 2/4, 2/3

6 0
3 years ago
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