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Yakvenalex [24]
3 years ago
13

Find the equation of a line that is parallel to line g that contains (P, Q).

Mathematics
2 answers:
Fofino [41]3 years ago
8 0

Correct option:

\boxed{x-y=P-Q}

<h2>Explanation:</h2>

Given that the line we are looking for is parallel to g, then the slope of that line and g is the same, therefore:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ (x_{1},y_{1})=(-3,2) \\ \\ (x_{2},y_{2})=(0,5) \\ \\ \\ m=\frac{5-2}{0-(-3)}=1

So we can write the point-slope form of the equation of the line as follows:

y-y_{0}=m(x-x_{0}) \\ \\ (x_{0},y_{0})=(P,Q) \\ \\ \\ y-Q=1(x-P) \\ \\ y-Q=x-P \\ \\ \\ Arranging: \\ \\ P-Q=x-y \\ \\ \boxed{x-y=P-Q}

<h2>Learn more:</h2>

Graphying systems of linear equations: brainly.com/question/13799715

#LearnWithBrainly

Lorico [155]3 years ago
3 0

Answer:

X - Y = P - Q

Step-by-step explanation:

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babymother [125]

Answer:

The second, third and fourth are parallel to the given equation

Step-by-step explanation:

In order to determine if the slopes are the same, put all of the equations in slope-intercept form:  y = mx + b.  In order for lines in this form to be parallel, the m values of each have to be the exact same number, in our case, 4.  Equation 2 has a 4 in the m position, just like the given, so that one is easy.  Equation 2 is parallel.

Let's solve the third equation for y:

12x - 3y = 6 so

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Let's solve the fourth equation for y:

-20x + 5y = 45 so

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4 years ago
The time is takes to drive between two cities varies inversely
zmey [24]

Answer:

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Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the
kozerog [31]
<h2>Answer:</h2>

one cone within the cylinder.

<h2>Step-by-step explanation:</h2>

First of all we have to start with half of a sphere (also known as a hemisphere), whose radius is r, and calculate its volume. Then we can double our answer at the end to find the volume of the complete sphere. But first to apply the Cavalieri's Principle, we start with a cone with the same radius r and suppose the height is also r, so the volume of this cone is:

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V_{sphere}=\frac{4}{3}\pi r^{3}

7 1
3 years ago
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allochka39001 [22]
So it would be 4x+108= 180 because it’s a straight line so x=18. For the second one id say A and D
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3 years ago
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