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3 years ago

13

HEEEELP ABC m a-58 b-42 c-55 d-41

1 answer:

Savatey [412]3 years ago

7 0

Your answer is going to be C

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

7 0

3 years ago

In geometry, you will learn that supplementary angles add up to 180 degrees. Therefore, if two angles have exterior rays that li

Ipatiy [6.2K]

50 I hope this helps!

8 0

3 years ago

Evaluate 8-2.<br>A. -16<br>B. -64<br>C. -1/64<br>D. 1/64<br>

makvit [3.9K]

I'm assuming you meant to write 8^(-2) or $8^{-2}$ where the -2 is the exponent over the 8.

If my assumption is correct, then we use the rule $a^{-b} = \frac{1}{a^b}$

So,

$a^{-b} = \frac{1}{a^b}\\\\8^{-2} = \frac{1}{8^2}\\\\8^{-2} = \frac{1}{64}$

<h3>Answer: Choice D. 1/64</h3>

8 0

2 years ago

In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following

Anna [14]

A <em>circle</em> is a figure <u>bounded</u> by a <em>curved</em> side which is referred to as <em>circumference</em>. Thus the area of the <u>shaded</u> region is option D. 81.65.

A <em>circle</em> is a figure<u> bounded</u> by a <em>curved</em> side which is referred to as <u>circumference</u>. Some of its <u>parts</u> are radius, diameter, sector, arc, etc.

The area of a <u>circle</u> can be determined by the given <em>expression:</em>

Area = π $r^{2}$

where r is the <u>radius</u> of the circle and π = $\frac{22}{7}$

So, the area of the <u>shaded</u> region can be determined as:

Area of the <em>shaded</em> region = <em>area </em>of the <u>larger</u> circle - <em>area</em> of the <u>smaller</u> circle

Area of the<em> shaded </em>region = π $(6.8)^{2}$ - π $(4.5)^{2}$

= π (46.24 - 20.25)

= $\frac{22}{7}$ x 25.99

= $\frac{571.78}{7}$

<u>Area</u> of the <em>shaded</em> region = 81.683

Thus the<u> appropriate</u> answer to the question is option D. 81.65.

For more clarifications on the area of a circle, visit: brainly.com/question/3747803

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2 years ago

Name the triangle with angels all more than 90 degrees

Anastaziya [24]

Obtuse "angle"... is the answer.

5 0

3 years ago