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2 years ago

Complete the equation of the line through (-9,7) and (-6,-3)

Mathematics

1 answer:

masya89 [10]2 years ago

4 0

Answer:

In point slope form, the equation is y-7=(-10/3)(x+9). In slope-intercept form, it is y=(-10/3)x-23.

First find the slope of the line. The formula for slope is

m=(y₂-y₁)/(x₂-x₁)

Using our points, we have

m=(-3-7)/(-6--9) = -10/3

Plug this into point slope form:

y-y₁=m(x-x₁)

y-7=(-10/3)(x--9)

y-7=(-10/3)(x+9)

Using the distributive property:

y-7=(-10/3)*x+(-10/3)*9

y-7=(-10/3)x-90/3

y-7=(-10/3)x-30

Add 7 to both sides:

y=(-10/3)x-23

Read more on Brainly.com - brainly.com/question/9534978#readmore

Step-by-step explanation:

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3 years ago

4/10x - 2x + 8/5 = 4/5

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Reduce the fraction 4/10, to its minimum expression, extracting and canceling 2.

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Combine $\bf{\frac{2}{5}x }$ and -2x to get $\bf{-\frac{8}{5}x}$ .

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Subtract 8/5 from both sides.

$\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=\frac{4}{5}-\frac{8}{5} \ \ \end{gathered}$}$

Since 4/5 and 5/8 have the same denominator, join their numerators to subtract them.

$\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=\frac{4-8}{5} \end{gathered}$}$

Subtract 8 from 4 to get -4.

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Multiply both sides by $\bf{-\frac{5}{8}}$ , the reciprocal of $\bf{-\frac{5}{8}}$ .

$\large\displaystyle\text{$\begin{gathered}\sf x=-\frac{4}{5}\left(-\frac{5}{8}\right) \end{gathered}$}$

Multiply -4/5 by -5/8 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

$\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-4(-5)}{5\times8} \ \to \ \ Multiply \end{gathered}$}$
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Reduce the fraction 20/40 to its lowest expression by extracting and canceling 20.

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Good luck in your studies

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1 year ago

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seropon [69]

$\text{Answer : -5}\sqrt[]{6}$

Explanation

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svetlana [45]

X^(3/5) = 1.84

x^(3/5) = (1.84)

Raise both sides of the equation to (5/3).

This is so that on the side with x, 3/5 * 5/3 = 1.

(x^3/5 )^5/3 = (1.84)^(5/3)

x^(3/5 * 5/3) = 1.84^(5/3)

x^1 = 1.84^(5/3)

x = 1.84^(5/3)

But remember we are solving for x^2.

x = 1.84^(5/3)

x^2 = (1.84^(5/3))^2

x^2 = 1.84^(5/3 *2 )

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Use a calculator here.

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