3 years ago

4

Mathematics

1 answer:

Vladimir [108]3 years ago

3 0

Answer:

Step-by-step explanation:

A line parallel to y-axis has no defined slope and line parallel to x-axis has a slope of zero.

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find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu

pishuonlain [190]

First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus $\bf y=\stackrel{slope}{2}x+5$ .

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}$

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
slope = m\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{1}{2}(x-1)$

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2 years ago

How do i do this type of slope?

nalin [4]

Answer:

because it matters where the points are located

Step-by-step explanation:

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3 years ago

Can someone help me

Sloan [31]

Answer:

The volume is 75

Step-by-step explanation:

because the volume is the width, length, and height, add them together.

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2 years ago

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Order 3 , -4 , 7, and -6 from least to greatest Explain?

Bezzdna [24]

Answer:

-6 -4 3 7

Step-by-step explanation:

This is right because if it goes- it goes lower and if it goes up on + it goes higher.

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3 years ago

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The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg.. Write an e

adoni [48]

half life i= 78 hours
amount after 78 hours is 395 kg:
395 = 790e^(k*78)

Dividing by 790 and taking natural log
ln (395/790) = (k*78)
-0.6931 = 78k
-0.00888 = k

lets calculate how much is left after 18 hours:
Amount(18)
= 790e^(-0.00888*18)
Amount = 673.301 kg
hope this helps

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2 years ago

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