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3 years ago

8

Need help finding x

1 answer:

olga nikolaevna [1]3 years ago

3 0

Answer:

<h2>x=-8</h2>

Step-by-step explanation:

$\frac{6}{x - 1} = \frac{4}{x + 2}$

$6x + 12 = 4x - 4$

$6x - 4x = - 12 - 4$

$2x = - 16$

$x = - 8$

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3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midp

Zarrin [17]

Answer:

$(\frac{1}{2}, 2)$

Step-by-step explanation:

Using the midpoint formula, $M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ , we can find the coordinates that represents the position of the ship at noon.

Let $L(-4, 7) = (x_1, y_1)$ (given on the coordinate plane)

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Position of the ship at noon is best represented at $(\frac{1}{2}, 2)$

5 0

4 years ago

The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b).<br> What are the values of a and b?

victus00 [196]

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

In this question we need to solve the linear equation for each point, first for $(x,y) = (b, 1)$ and later for $(x,y) = (a, b)$ .

If we know that $(x,y) = (b, 1)$ , then the value of $b$ is:

$6 = 30-8\cdot b$

$8\cdot b = 24$

$b = 3$

If we know that $(x,y) = (a, b)$ and $b = 3$ , then the value of $a$ is:

$6\cdot b = 30 - 8\cdot a$

$18 = 30-8\cdot a$

$12 = 8\cdot a$

$a = \frac{3}{2}$

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

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2 years ago