Consider this expression.

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

Answer:

$9m^2 + 17m- 9$

Step-by-step explanation:

Given

$7m^2 + (2m - 1)(m + 9)$

Required:

Simplify

We start by opening the bracket

$7m^2 + (2m(m + 9) - 1(m + 9))$

$7m^2 + 2m^2 + 18m - m - 9$

Collect Like Terms

$9m^2 + 17m- 9$

Hence, the equivalent expression is $9m^2 + 17m- 9$

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insens350 [35]

To start, the equation has to be converted to slope-intercept form, or $y=mx+b$ . Start by subtracting x from both sides; $x-x+2y=4$ , $2y=4-x$ . Switch 4 and -x around to conform to the formula; $2y=-x+4$ . Then divide by 2 to isolate y; $y=-\frac{1}{2}x+2$ . This is the final equation. Because the slope of a line perpendicular is always the opposite reciprocal (i.e. The opposite reciprocal of 4 is $-\frac{1}{4}$ , the opposite reciprocal of $-\frac{1}{5}$ is 5) the opposite reciprocal of $-\frac{1}{2}$ is 2. So the equation of the line is $y=2x$ , and the answer is A.