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3 years ago

Simplify: (-5a³-7a² +3)+(-9a³ +5a² +9)

Mathematics

1 answer:

DedPeter [7]3 years ago

3 0

Answer: =−14a3−2a2+12

Step-by-step explanation:

−5a3−7a2+3−9a3+5a2+9

=−5a3+−7a2+3+−9a3+5a2+9

Combine Like Terms:

=−5a3+−7a2+3+−9a3+5a2+9

=(−5a3+−9a3)+(−7a2+5a2)+(3+9)

=−14a3+−2a2+12

Answer:

=−14a3−2a2+12

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Paralell to y=4x-6 through (12,10)

stiks02 [169]

<u>ANSWER</u>

The line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

<u>EXPLANATION</u>

The equation that is parallel to the line $y=4x-6$ has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

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Hence the line parallel to this line also has slope $m=2$ .

Let $y=mx+b$ be the equation of the line parallel to the line

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We can substitute $m=2$ to obtain;

$y=2x+b$

If the line passes through the point $(12,10)$ ,then this point must satisfy its equation.

We substitute $x=12$ and $y=10$ to obtain;

$10=2(12)+b$

We this equation for $b$ .

$\Rightarrow 10=24+b$

$\Rightarrow 10-24=b$

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We substitute this value of $b=-14$ in to $y=2x+b$ to get;

$y=2x+-14$ .

Hence the equation of the line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

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Step-by-step explanation:

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3 years ago

Simplify: (-5a³-7a² +3)+(-9a³ +5a² +9)​

Simplify: (-5a³-7a² +3)+(-9a³ +5a² +9)