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horrorfan [7]
3 years ago
13

The midpoint of ST is M(7,3). One endpoint is T(7,5). Find the coordinates of the other endpoint S. Write the coordinates as dec

imals or integers. S=O Submit ice with our app​
Mathematics
1 answer:
larisa [96]3 years ago
4 0

Answer:

Step-by-step explanation:

ST = SM + TM

SM = X

TM = 5 - 3 = 2

SO

SM = 2

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-Dominant- [34]

By iteratively substituting, we have

a_n = a_{n-1} + n

a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)

a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)

and the pattern continues down to the first term a_1=0,

a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))

\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)

\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k

Recall the formulas

\displaystyle \sum_{n=1}^N 1 = N

\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2

It follows that

a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2

\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1

\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}

4 0
2 years ago
Which linear inequality is represented by the graph graph​
trasher [3.6K]

Answer: choice A

Step-by-step explanation:

7 0
3 years ago
A recipe requires 1\4 of a cup of cranberries for 1 batch. How many beaches of scones can be made using 6 1/2 cups of cranberrie
TiliK225 [7]

Answer:

26

Step-by-step explanation:

1 batch is 1/4 cups of cranberries.

This means that we have to find the number of groups of 1/4 in  6 1/2 cups to find the number of batches.

(The decimal forms of these numbers are 6.5 and 0.25)

6.5/0.25=26

There are 26 batches

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3 years ago
What is the answer for this equation: 3n-8=n
stiks02 [169]

Answer:

n=4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the height of a
vagabundo [1.1K]

Answer:

12 meters

Step-by-step explanation:

The area of a parallelogram can be found using:

a=bh

We know that the base is 7 meters, and the area is 84 square meters. Therefore, we can substitute 7 in for b, and 84 in for a.

84=7h

We want to find the height. To do this, we have to get h by itself. Since h is being multiplied by 7, divide both sides by 7.

84/7=7h/7

12=h

So, the height is 12 meters

5 0
3 years ago
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