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LuckyWell [14K]

3 years ago

7

Write an equation of the line that is parallel to y = 1/2 x + 3 and passes through the point (10, -5). A) y = 2x - 15 B) y = -2x

+ 15 C) y = - 1 2 x D) y = 1 2 x - 10

1 answer:

soldi70 [24.7K]3 years ago

5 0

Answer:

The equation of this line is D) y = 1/2x - 10

Step-by-step explanation:

In order to find this, we need to first find the slope. The slope of the equation will match the line it is parallel to. Since the first line has a slope of 1/2 (the coefficient of x), we know our new line will too. Now that we have that information start with the basic form of point-slope form.

y - y1 = m(x - x1)

Now put the slope in for m and the point in for (x1, y1)

y + 5 = 1/2(x - 10)

Now solve the equation for y.

y + 5 = 1/2x - 5

y = 1/2x - 10

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Solve each inequality, and then drag the correct solution graph to the inequality.

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The correct solution graph to the inequalities are

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(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

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Then, collect like terms

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Now divide both sides by 12

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For the second inequality

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First, clear the fraction by multiplying both sides by 3

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Now, open the bracket

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For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

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Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

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Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

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