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zaharov [31]
3 years ago
11

What is the next value 1 12 L 3 F 4

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0
The value is twenty four.
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3. Segment MN has endpoints at M(-6, -3) and N(9,7). Point Q lies on MN such that MQ:QN = 3:2.
Aleks04 [339]

Given:

Segment MN has endpoints at M(-6, -3) and N(9,7).

Point Q lies on MN such that MQ:QN = 3:2.

To find:

The coordinates of point Q.

Solution:

Section formula: If a point divides of line segment whose end points are (x_1,y_1) and (x_2,y_2) in m:n, then the coordinates of that points are:

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Segment MN has endpoints at M(-6, -3) and N(9,7) and Point Q lies on MN such that MQ:QN = 3:2. By using section formula, we get

Q=\left(\dfrac{3(9)+2(-6)}{3+2},\dfrac{3(7)+2(-3)}{3+2}\right)

Q=\left(\dfrac{27-12}{5},\dfrac{21-6}{5}\right)

Q=\left(\dfrac{15}{5},\dfrac{15}{5}\right)

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Therefore, the coordinates of point Q are (3,3).

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4 years ago
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