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Comment on Distance Between Two Points
root 34 has come another
At 1:15 in the video, we find
At 1:15 in the video, we find that the distance between (-2, -4) and (3, -1) is √34
At 2:30 in the video, we find that the distance between (2, -4) and (4, 0) is √20
So, we are finding the distances between two different sets of points. This is why we arrive at 2 different distances.
At 1:15 in the video, we find
At 1:15 in the video, we find that the distance between (-2, -4) and (3, -1) is √34
At 2:30 in the video, we find that the distance between (2, -4) and (4, 0) is √20
So, we are finding the distances between two different sets of points. This is why we arrive at 2 different distances.
can you please explain 2nd
http://gre.myprepclub.com/forum/topic1885.html
expecting the explaination, thanks in advance.
I've added my solution (with
I've added my solution (with graphics) here: http://gre.myprepclub.com/forum/topic1885.html#p9785
Hello Brent,
For the following question, when using distance formula, I arrive at an equation ((b+2)^2)^1/2=3. Why should not we use exponent rule directly here and multiply 2*1/2 in the exponent, which gives only one solution (b=1) ? Please advise me
http://gre.myprepclub.com/forum/the-distance-from-b-2-to-2576.html
Thanks :)
Question link: http:/
Question link: http://gre.myprepclub.com/forum/the-distance-from-b-2-to-2576.html
Good question!
When applying the power of a power law to solve an equation, we must be careful when one of those powers represents a root, because we can lose a potential solution in the process.
In this case, it's better to stick with the square root rather than rewrite the root as a power.
Your equation is in the form √(x²) = 3
From this, we can conclude that x² must equal 9, which means EITHER x = 3 OR x = -3. When we plug these two possible values of x into the original equation, we see that they both satisfy the equation.
NOTE: we get TWO solutions because, when we SQUARE any number (positive or negative), the result is always greater than or equal to zero. For example, 5² = 25 and (-5)² = 25. So, there are TWO numbers, that when squared, yield a result of 25.
However, if we first simplify √(x²), we lose out on one of those solutions.
Thanks Brent. I'll watch out
How did you get the distance
For the horizontal distance,
For the horizontal distance, we get: 3 - (-2) = 5
For the vertical distance, we get: (-1) - (-4) = 3
What calculations did you perform to get 6 and 4?
Cheers,
Brent
I didn't calculate. I just
Please why are you subtracting?
First off, counting the
First off, counting the number of integers between 3 and -2 won't tell you the distance between 3 and -2
For example, what is the distance between 5 and 6?
Applying your technique, we'd have to say that the distance is zero, since there are no integers BETWEEN 5 and 6.
Instead, the distance between 5 and 6 = 6 - 5 = 1
In the distance formula, we subtract x-values and y-values.
To understand why we do this, let's examine the number line.
For example, what is the distance between 8 and 2 on the number line?
Well, the distance = 8 - 2 = 6
Likewise, the distance between 5 and -3 = 5 - (-3) = 8
Does that help?
Cheers,
Brent
What about the third example?
I believe you're referring to
I believe you're referring to the example at 2:45 in the above video.
The two points are (4, 0) and (2, -4)
To find the horizontal distance, we subtract the x-values.
To find the vertical distance, we subtract the y-values.
So, the horizontal distance = 4 - 2 = 2
Does that help?
Cheers,
Brent
This is great! Thanks
https://gre.myprepclub.com/forum
In your solution here,you didn't involve the square root in your distance between 2 points formula
Question link: https:/
Question link: https://gre.myprepclub.com/forum/in-the-coordinate-plane-points-a-b-and-...
I didn't have a solution posted for this question :-)
However, I do now (and it has square roots!!): https://gre.myprepclub.com/forum/in-the-coordinate-plane-points-a-b-and-...
Cheers,
Brent
The distance from (b,2) to (
QA =b
QB =0
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
I would be highly appreciated if I explain it in detail how b became b= 1 , b= -5 because I substitute at distance point formula the square root one but it didn't work.
Thanks
Here's my full solution:
Here's my full solution: https://gre.myprepclub.com/forum/the-distance-from-b-2-to-2576.html#p43361
Cheers,
Brent
hi brent! I had a question on
Why is the answer not 2 points? As shown in your diagram, if P and Q were centers of circles that have equal radii, there are then two points which could R, which is not on the PQ line, So couldnt' the answer be C?
Solution link: https:/
Solution link: https://gre.myprepclub.com/forum/p-q-and-r-are-three-points-in-a-plane-a...
The only condition on point R is that it can't lie on line PQ.
This still leaves infinitely many possible places to put point R.
However, the question isn't asking us about point R; it's basically asking us to determine the number of points the blue line and red line have in common.
Does that help?