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Mathematics

1 answer:

Bond [772]2 years ago

4 0

Answer:

A or D

Step-by-step explanation:

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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

3 years ago

What's 32 to the power of negative 2/5

Lady bird [3.3K]

$32^{-\frac{2}{5}}=\sqrt[5]{32}^{-2}=2^{-2}=(\frac{1}{2})^2=\frac{1}{4}$

3 0

3 years ago

Please help me !!!!!!

navik [9.2K]

Answer:

The answer is the roman numeral ||.

Step-by-step explanation:

If you use the equation $c = \sqrt{a^{2}+b^{2}$ you will find the only one that works is roman numeral ||. This equation is for right triangles.

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3 years ago

What is the exact volume of the cylinder?

AURORKA [14]

Answer:

Step-by-step explanation:

8 cm and the height is 15 cm.

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3 years ago

B) Find the value of 2a2 + 5b2 when a = -6 and b = 2

DedPeter [7]

Answer: -4

Step-by-step explanation:

(2x-6×2)(5×2×2)

-24+20

-4

4 0

3 years ago

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