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3 years ago

13

Write an equation for the line through the point (−4,−2) and parallel to the line y=8x−3 in point-slope form y=y0+m(x−x0)

1 answer:

e-lub [12.9K]3 years ago

4 0

If a line is parallel to another it means they have the same slope but different y-intercepts. This means the slope of the line we are trying to find is 8. We are also given a point that is on our line, so we are ready to use your variation of point-slope form.

y = -2 + 8(x--4) Cancel the double negative.
y = -2 + 8(x+4) Final Answer

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Write in point slope form of the line that passes through the points (3,-1) and (6,-2)

skelet666 [1.2K]

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-(-1)}{6-3}\implies \cfrac{-2+1}{3}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-1)=-\cfrac{1}{3}(x-3)\implies y+1=-\cfrac{1}{3}(x-3)$

8 0

4 years ago

Hi, I need help pls! (screenshots included)

mestny [16]

8. a = s*s

144 = $s^{2}$

$\sqrt{144} = \sqrt{s^2}$

12 = s

5 0

3 years ago

Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w

Yuri [45]

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

7 0

3 years ago

Convert the decimal 0.8034 to a fraction and classify it as either rational or irrational.

Llana [10]

Answer:

Fractional form of 0.8034 $=\frac{4017}{5000}$

Since 4017 and 5000 are whole numbers this fraction is rational.

Step-by-step explanation:

We have $0.8034=\frac{8034}{10000} =\frac{4017}{5000}$

Fractional form of 0.8034 $=\frac{4017}{5000}$

Since 4017 and 5000 are whole numbers this fraction is rational.

7 0

3 years ago

Which numbers are 4 units from -2 on the number line

Artemon [7]

Let the number be x

Then the absolute value of the number from -2 should be 4

$|x--2|=4$

$|x+2|=4$

So either

$(x+2)=4$

$x=4-2=2$

Or

$-(x+2)=4$

$x+2=-4$

$x=-4-2$

$x=-6$

[tex] <B>The numbers are 2 and -6</B> [/tex[

They are four units away from -2 on the number line

4 0

3 years ago