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lakkis [162]
3 years ago
15

Find the coordinates of the point 7/10 of the way from A to B.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

(2.6, -2.7)

Step-by-step Explanation:

Let X represent the point which is 7/10 of the way from A to B.

AX to XB = 7:10 = AX/XB = 7/10.

Formula for internal division to find the coordinates is:

x = \frac{mx_2 + nx_1}{m + n}

y = \frac{my_2 + ny_1}{m + n}

Where,

A(-4, -8) = (x_1, y_1)

B(12, 5) = (x_2, y_2)

m = 7, n = 10

Substitute the values above into the stated formula to find x and y coordinates as follows:

x = \frac{mx_2 + nx_1}{m + n}

x = \frac{7(12) + 10(-4)}{7 + 10}

x = \frac{84 - 40}{17}

x = \frac{44}{17}

x = 2.6

y = \frac{my_2 + ny_1}{m + n}

y = \frac{7(5) + 10(-8)}{7 + 10}

y = \frac{35 - 80}{17}

y = \frac{-45}{17}

y = -2.7

The coordinates of the point 7/10 of the way from A to B are (2.6, -2.7)

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Step-by-step explanation:

Each system is solved as follows (Cada sistema es resuelto como sigue):

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g) 5\cdot x - 2\cdot y = 12 and 4\cdot x + 3\cdot y = 5

x = \frac{12+2\cdot y}{5}

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48 + 8\cdot y = 25 - 15\cdot y

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The actual difference is 12 sweets, so the total number of sweets is ...

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