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2 years ago

Find the equation of a line given the point and slope below. (-3, 1) m= 1/3

Mathematics

1 answer:

wlad13 [49]2 years ago

8 0

Answer:

y = 1/3 x + 2.

Step-by-step explanation:

The formula for the equation of a line is y = mx + b with m being the slope.

We can solve for b, as we know y, m, and x.

1 = 1/3 (-3) + b

b = 1 - (-1) = 1 + 1 = 2

Therefore, the equation of the line is y = 1/3 x + 2.

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denis-greek [22]

100% = 1.00 is the cost of the jeans itself
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3 years ago

Identify the expression with nonnegative limit values. More info on the pic. PLEASE HELP.

marshall27 [118]

Answer:

$\lim _{x\to 2}\:\frac{x-2}{x^2-2}\\\\ \lim _{x\to 11}\:\frac{x^2+6x-187}{x^2+3x-154}\\\\ \lim _{x\to \frac{5}{2}}\left\frac{2x^2+x-15}{2x-5}\right$

Step-by-step explanation:

a) $\lim _{x\to 3}\:\frac{x^2-10x+21}{x^2+4x-21}=\lim \:_{x\to \:3}\:\frac{\left(x-7\right)\left(x-3\right)}{\left(x+7\right)\left(x-3\right)}=\lim \:_{x\to \:3}\:\frac{x-7}{x+7}=\frac{3-7}{3+7}=-\frac{4}{10}=-\frac{2}{5}$

b) $\lim _{x\to -\frac{3}{2}}\left(\frac{2x^2-5x-12}{2x+3}\right)=\lim \:_{x\to -\frac{3}{2}}\:\frac{\left(2x+3\right)\left(x-4\right)}{\left(2x+3\right)}=\lim \:\:_{x\to \:-\frac{3}{2}}\:\left(x-4\right)=-\frac{3}{2}-4\\ \\ \lim _{x\to -\frac{3}{2}}\left(\frac{2x^2-5x-12}{2x+3}\right)=-\frac{11}{2}$

c) $\lim _{x\to 2}\:\frac{x-2}{x^2-2}=\frac{2-2}{\left(2\right)^2-2}=\frac{0}{4-2}=0$

d) $\lim _{x\to 11}\:\frac{x^2+6x-187}{x^2+3x-154}=\lim _{x\to 11}\:\frac{\left(x-11\right)\left(x+17\right)}{\left(x-11\right)\left(x+14\right)}=\lim _{x\to 11}\:\frac{\left(x+17\right)}{\left(x+14\right)}=\frac{11+17}{11+14}=\frac{28}{25}$

e) $\lim _{x\to 3}\:\frac{x^2-8x+15}{x-3}=\lim \:_{x\to \:3}\:\frac{\left(x-3\right)\left(x-5\right)}{x-3}=\lim _{x\to 3}\left(x-5\right)=3-5=-2$

f) $\lim _{x\to \frac{5}{2}}\left(\frac{2x^2+x-15}{2x-5}\right)=\lim \:_{x\to \:\frac{5}{2}}\frac{\left(2x-5\right)\left(x+3\right)}{2x-5}=\lim \:\:_{x\to \:\:\frac{5}{2}}\left(x+3\right)=\frac{5}{2}+3=\frac{11}{2}$

4 0

3 years ago

What type of triangle is given by the points D(1,1), E(3,8) and F(5,1).

Vlad1618 [11]

Answer:

when the copper is gold and triangle is isocesles triangles what is your number?

Step-by-step explanation:

the answer is i leb ye

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2 years ago

A certain paint is sold in both 1-gal cans and 1-qt cans. The gallon can cost $13 and the quart can cost $5. How much more do yo

Komok [63]

Answer:

8% or 80%

Step-by-step explanation:

$13.00 - $5.00 = $8.00

4 0

2 years ago

Will give many points! PLEASE HELP!

nataly862011 [7]

Answer:

24/5 (4.8)

Step-by-step explanation:

5:8 = 3:x

Divide both sides by 3

5:24 = 1:x

That means 24/5 = x

3 0

3 years ago

Read 2 more answers

Find the equation of a line given the point and slope below. (-3, 1) m= 1/3​

Find the equation of a line given the point and slope below. (-3, 1) m= 1/3