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3 years ago

Find the equation of the line with slope = -6 and passing through (-6,32).write your equation

Mathematics

1 answer:

Lemur [1.5K]3 years ago

4 0

Point slope form says the line through (a,b) with slope m is

y - b = m(x - a)

Here that's

y - 32 = -6(x - -6)

y -32 = -6(x + 6) = -6x - 36

y = -6x - 4

Check:

-6(-6) - 4 = 36 - 4 = 32, good

Answer: y = -6x - 4

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Answer:

Step-by-step explanation:

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3 years ago

Suppose a radioactive substance has a half-life of 1000 years. What fraction will be left after 1000 years?

salantis [7]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

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3 years ago

Read 2 more answers

Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?

olganol [36]

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

$\displaystyle y=\frac{k}{x}$

Where k is the constant of variation.

We know that y = 48 when x = 3. Substitute:

$\displaystyle (48)=\frac{k}{(3)}$

Solve for k:

$k=3(48)=144$

Hence, our equation is:

$\displaystyle y=\frac{144}{x}$

We want to find x when y = 24. Substitute:

$\displaystyle \frac{24}{1}=\frac{144}{x}$

Cross-multiply:

$24x=144$

Divide both sides by 24. Hence:

$x=6$

Our answer is C.

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2 years ago