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3 years ago

What ordered pair is a solution of the equation y-3=5(x-2)

Mathematics

1 answer:

RideAnS [48]3 years ago

3 0

Answer:

(0,-7)

Step-by-step explanation:

In this question, we need to find an ordered pair of (x,y)

First we need to solve the equation for Y. It will be:

y-3=5(x-2)

y=5x-10 +3

y= 5x -7

Then, using the equation you can find the value of y using the value of x. If x= 0 the calculation will be

y= 5x-7

y= 5(0) - 7

y=-7

The ordered pair will be: (0,-7)

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W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?

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$\large{ \tt{❃ \: EXPLANATION}} :$

You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

$\large{ \tt{❁ \: LET'S \: START }: }$

Set up an equation & solve for p :

$\large{ \bf{☄ \: p - 30 = \frac{1}{2} p }}$

$\large{ \tt{↦ \frac{1}{2} p = p - 30}}$

$\large{ \tt{↦ \frac{1}{2} p - p = - 30}}$

$\large{ \tt{↦ \frac{p - 2p}{2} = - 30 }}$

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$\large{ \tt{❇ \: REPLACING \: VALUE}} :$

$\large{ \tt{↬ \: wz = p - 30 = 60 - 30 = \boxed{\boxed{ \tt{30 }} }✔}}$

Hence , WZ = 30 .

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