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3 years ago

A line goes through the point (6,-2) and has a slope of

Mathematics

1 answer:

Lilit [14]3 years ago

5 0

Answer: a = 3

Step-by-step explanation: when you multiply 6 by -3 you get -18 and if you add 16 you get -2

so the slope is -3 and the y-intercept is 16

so a*-3 + 16 = 7

by subtracting 16 on both sides you get

-3a = -9

and to get a by itself you divide -3 on both sides

a = -9/-3

a= 9/3

a = 3

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asambeis [7]

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1800 mi

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3 years ago

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spin [16.1K]

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3 years ago

What is the correct order of operations for simplifying the expression (x+3)^2-(x^2+9)/2x^2?

kramer

Answer:

The given expression is simplified as $\frac{(x+3)^2-(x^2 +9)} {2x^2} = \frac{3}{x}$

Step-by-step explanation:

Here, the given expression is:

$\frac{(x+3)^2-(x^2 +9)} {2x^2}$

Now, with ALGEBRAIC IDENTITIES:

$(a+b)^2 = a^2 + b^2 + 2ab$

Now, similarly: $(x+3)^2 = x^2 + (3)^2 + 2x(3) = (x^2 + 9 + 6x)$

Now, substituting the values in the given expression, we get:

$\frac{(x+3)^2-(x^2 +9)} {2x^2} \implies \frac{(x^2 + 9 + 6x)-(x^2 +9)} {2x^2}\\= \frac{(x^2 + 9 + 6x-x^2 -9)} {2x^2} \\= \frac{ 6x} {2x^2} = \frac{3}{x}$

Hence, the given expression $\frac{(x+3)^2-(x^2 +9)} {2x^2} = \frac{3}{x}$

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3 years ago

A scuba driver was swimming at an elevation of -8 meters. A shark was swimming at an elevation of -29 meters. Find the differenc

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3 years ago