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3 years ago

Help will mark brainliest

Mathematics

1 answer:

yan [13]3 years ago

7 0

9514 1404 393

Answer:

y = 2/3x -20/3

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:

-1/(-3/2) = 2/3

You can use the point-slope form to write the equation of that perpendicular line.

y -k = m(x -h) . . . . . line with slope m through point (h, k)

y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line

This can be put into slope-intercept form by solving for y and simplifying.

y +2 = 2/3x -14/3

y = 2/3x -20/3

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3 years ago

If f(x) = x-6 and g(x)= 1/2x (x+3), find g(x) * f(x)

sertanlavr [38]

Answer:

Final answer is $g\left(x\right)\cdot f\left(x\right)=\frac{\left(x-6\right)}{2x\left(x+3\right)}$ .

Step-by-step explanation:

given functions are $f(x)=x-6$ and $g\left(x\right)=\frac{1}{2x\left(x+3\right)}$ .

Now we need to find about what is the value of $g\left(x\right)*f\left(x\right)$ .

$g\left(x\right)*f\left(x\right)$ simply means we need to multiply the value of $f(x)=x-6$ and $g\left(x\right)=\frac{1}{2x\left(x+3\right)}$ .

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$g\left(x\right)\cdot f\left(x\right)=\frac{\left(x-6\right)}{2x\left(x+3\right)}$

Hence final answer is $g\left(x\right)\cdot f\left(x\right)=\frac{\left(x-6\right)}{2x\left(x+3\right)}$ .

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