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4 years ago

What is the ordered pair for point b on the graph (-1,4) (4,-1) (5,1) (1,5)

Mathematics

1 answer:

IRINA_888 [86]4 years ago

5 0

Option C: (5,1) is the ordered pair for point B

Explanation:

The graph is plotted with unit scale 1 units for both x and y axis.

We need to determine the ordered pair for point B.

<u>Ordered pair:</u>

Since, the graph is plotted with unit scale 1, the point B is 5 units away from the point (0,0)

Thus, the x - coordinate for point B is 5.

Also, the point B is 1 unit away from the point (0,0)

Thus, the y - coordinate is 1

The coordinates of point B is (5,1)

Thus, the ordered pair for point B is (5,1)

Hence, Option C is the correct answer.

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3 years ago

JK in the coordinate plane has endpoints with coordinates (-4, 11) and (8,

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Answer:

(0, 7)

Step-by-step explanation:

Given:

J(-4, 11)

K(8, -1)

JP:JK = 1/3

Required:

Coordinates of P

SOLUTION:

Use the formula, $(x, y) = (x_1 + k(x_2 - x_1), y_1 + k(y_2 - y_1))$ to find the coordinates of point P, that partition the segment JK into the ratio 1/3.

Let,

$J(-4, 11) = (x_1, y_1)$

$K(8, -1) = (x_2, y_2)$

$k = \frac{1}{3}$

Thus, plug in the values as follows:

$P(x, y) = (-4 + \frac{1}{3}(8 -(-4)), 11 + \frac{1}{3}(-1 - 11)$

$P(x, y) = (-4 + \frac{1}{3}(12), 11 + \frac{1}{3}(-12)$

$P(x, y) = (-4 + \frac{12}{3}, 11 + \frac{-12}{3})$

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The coordinates of point P, are (0, 7)

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