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3 years ago

Calculate 0.82 + 0.35 and get the sum of the equation

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

8 0

1.17

because

0.82

0.35 +

---------

1.17

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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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Igoryamba

I believe it’s the second one

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3 years ago

-3x - y = 15<br> y = -8x<br> (x, y) = (0<br> )<br> 9,0

Nataly [62]

<h3>The solution is (x, y) = (3, -24)</h3>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

-3x - y = 15 -------- eqn 1

y = -8x ------ eqn 2

We have to find solution of (x, y)

We can solve by substitution method

<em><u>Substitute eqn 2 in eqn 1</u></em>

-3x - (-8x) = 15

-3x + 8x = 15

5x = 15

Divide both sides by 5

Substitute x = 3 in eqn 2

y = -8(3)

Thus solution is (x, y) = (3, -24)

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3 years ago

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balandron [24]

Answer:

Yes

Step-by-step explanation:

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