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3 years ago

If G and H are different points in a plane R then a third Point exists in R not on GH

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

3 0

Answer:

Postulate: A plane contains at least three points not all on one line.

Step-by-step explanation:

Given:

G and H are different points in a plane R.

Then a third Point exists in R not on GH.

Suppose there are three points G, H and K. These are non linear points which means they do not lie on the same line. Having three points on the plane means that the plane cannot be drawn with just two points.

These points would make a triangle which is plane R. This is because if the plane could be drawn with two points then that would form a line. But here we know that plane should have at least three points.

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A given line has the equation 10x 2y=−2 . what is the equation, in slope-intercept form, of the line that is parallel to the giv

aivan3 [116]

The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1

<h3>Equation of a line</h3>

A line is the distance between two points

Given the equation of a line expressed as 10x + 2y = -2. Determine the slope

2y = -10x -2

y = -5x - 1

Slope of the line is -5

The equation of a line in point-slope form is y - y1 = m(x-x1)

Substitute the point and the slope of the parallel line

y - 12 = -5(x - 0)
y - 12 = -5x
y = -5x + 12

Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12

Learn more on equation of a line here: brainly.com/question/13763238

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3 0

2 years ago

Derek buys a house for £150,000

Elden [556K]

Answer:

cost price=$150,000

selling price =$154,000

profit= $154,000-$150,000=$4,000

Therfore Percentage Profit= 4,000÷15,000×100=2.7%

Percentage Profit =2.7%

7 0

3 years ago

In ACME PUBLISHING SWEEPSTAKES, the chance of winning a car is 1 in 1,000. What percent of tickets to ACME PUBLISHING SWEEPSTAKE

Yuri [45]

Answer:

0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car

Step-by-step explanation:

Given :The chance of winning a car is 1 in 1,000.

To Find : What percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car?

Solution:

The chance of winning a car is 1 in 1,000.

The percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car:

= $\frac{1}{1000} \times 100$

= $\frac{1}{10}$

= $0.1\%$

Hence 0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car.

8 0

3 years ago

At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time

timurjin [86]

E=egg farm

x=distantce between the Berto´s trains and the meeting point.

t=time where the trains meet up

⇒110 miles/h ⇒85miles/h

[---------------------------E----------------------]-------------------------------------X

[............12 miles.......][........34 miles.....][------------ x ----------------------]

distance between Berto´s train and Eduardo´s train=

=12 miles+34 miles=46 miles.

S=d/t ⇒d=S*t

S=seed

d=distance

T=time

Eduardo´s train;

46 miles+x=t*110 miles/h ⇒x=t*110 miles/h-46 miles (1)

Berto´s train;

x=t*85 miles/h (2)

With the equations (1) and (2) we suggest this system equations:

x=t* 110 miles/h-46 miles

x=t*85 miles/h

we solve this system equiations :

t*110 miles/h-46 miles=t*85 miles/h

110t miles/h-85t miles/h=46 miles

25 t miles/h=46 miles

t=46 miles/25 miles/h=1,84 hour (≈1 hour, 50 minutes, 24 seconds)

x=t*85 miles/h=156,4 miles

Solution: 1,84 hour

3 0

3 years ago

Read 2 more answers

How do I solve this literal equation? <br> 15 points

kati45 [8]

Answer:

$\pi = \frac{A}{2r^2 + 2rh}$

Step-by-step explanation:

First, we need to isolate $\pi$ by taking it common from both terms on the right:

$A=2\pi r^2 + 2\pi rh\\A=\pi (2r^2 + 2rh)$

Now, since we want $\pi$ in terms of the other variables, we can divide the left hand side (A) by whatever is multiplied with $\pi$ on the right hand side. Then we will have an expression for $\pi$ . Shown below:

$A=\pi (2r^2 + 2rh)\\\pi = \frac{A}{2r^2 + 2rh}$

This is the xpression for $\pi$

7 0

3 years ago