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3 years ago

Complete the equation of the line through 6,-6 and 8,8

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

3 0

Answer:

y=7x-48

Step-by-step explanation:

The equation of a line is y=mx+b where m is the slope and b is the y intercept.

To find the slope use the equation Slope=y2-y1/x2-x1

For this equation is is 8+6/8-6=7

I found the y-intercept using the slope and it = -48.

The y-intercept is the point where the line crosses the y-axis.

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4 years ago

HELP giving brainlest and more points

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Answer:

$\displaystyle \mathbf{\frac{5}{(c+4)}}$

Step-by-step explanation:

<u>Division of Rational Expressions</u>

When dividing two rational expressions like f(c) / g(c), it's usually easier to multiply the numerator by the reciprocal of the denominator: f(c) * (1/g(c)). The reciprocal is just flipping the numerator and the denominator.

Let's find the following division:

$\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}$

First, we factor the polynomials where possible.

$c^2-64 = (c-8)(c+8)$

$3c^2+26c+16=(3c+2)(c+8)$

$c^2-4c-32=(c-8)(c+4)$

$15c+10=5(3c+2)$

Substituting:

$\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{\frac{(c-8)(c+8)}{(3c+2)(c+8)}} {\frac{(c-8)(c+4)}{5(3c+2)}}$

Multiplying by the reciprocal of the denominator:

$\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{(c-8)(c+8)}{(3c+2)(c+8)}\cdot \frac{5(3c+2)}{(c-8)(c+4)}$

Simplifying by (c+8)(3c+2)(c-8):

$\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{5}{(c+4)}$

Answer:

$\displaystyle \mathbf{\mathbf{\frac{5}{(c+4)}}}$

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3 years ago

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