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elena55 [62]
4 years ago
9

Can anyone help me with this and explain it too?

Mathematics
1 answer:
arlik [135]4 years ago
7 0

Answer:

(6, 3)

Step-by-step explanation:

Midpoint (x_{m},y_{m})=(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2})\\\\=(\frac{3 + 9}{2}, \frac{6 + 0}{2})\\\\=(\frac{12}{2}, \frac{6}{2})\\\\Midpoint of a line segment (x_M, y_M) = (6, 3)

How to Calculate Midpoint?

The x-coordinate of the midpoint M of the segment \overline{AB} is the arithmetic mean of the x-coordinates of the endpoints of the segment  \overline{AB}. Similarly, the y-coordinate of the midpoint M of the segment  \overline{AB} is the arithmetic mean of the y-coordinates of the endpoints of the segment  \overline{AB}.

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2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566
pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

T_n=3n+17

Subtract 17 from both the sides.

T_n-17=3n

Divide both sides by 3.

\frac{T_n-17}{3}=n

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

n=\frac{80-17}{3}=21

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

n=\frac{170-17}{3}=51

Since n is a positive integer, therefore 170 is a term of given series.

(c) The given term is 217.

n=\frac{217-17}{3}=66.67

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

n=\frac{312-17}{3}=98.33

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

n=\frac{278-17}{3}=87

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

n=\frac{3566-17}{3}=1183

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

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What's the ratio 20 to 36
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5. Joan asked 30 randomly selected adult restaurant customers about their choice of beverages. 18 customers said coffee is their
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The answer for the first question would be c) 120 
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Read 2 more answers
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