This a part of my study guide for my final exam tomorrow. I tried to ask my teacher how to solve it and she just gave me the answer and didn't explain it. Could someone help?
#How would I love this problem?
gray aurora
magic ravenBOT
This a part of my study guide for my final exam tomorrow. I tried to ask my teac...
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gray aurora
"Line segment EF has a distance of 10 units, and the cordnits of E are (14,-6) wich cordnits COULD represent the mid point of EF?
(-10,-9)
(-14,11)
(11,-2)
(11,10)
west steeple
"Line segment EF has a distance of 10 units, and the cordnits of E are (14,-6) w...
Use your knowledge of the characteristics of a midpoint and the distance formula to help you solve this problem.
We're given the fact that the segment EF has a length of 10 units. What should the length from the midpoint to the endpoint be, on either side of the segment?
gray aurora
Use your knowledge of the characteristics of a midpoint and the distance formula...
1,5, and 10 right?
west steeple
1,5, and 10 right?
Please be more concise with what you mean by 1,5 and 10.
A midpoint bisects a line segment, meaning that the distance from a midpoint M to either endpoint E or F should be equal to one another. Understanding this notion, what should the length of EM (or FM) be?
tiny lily
This a part of my study guide for my final exam tomorrow. I tried to ask my teac...
line segment EF presumably has a LENGTH of 10, so the point F would be 10 units away from the point E
the midpoint would be how many units away from E?
then just plug the answer choices in the distance formula
golden nexus
This a part of my study guide for my final exam tomorrow. I tried to ask my teac...
Ok so we know that e is at (14,-6) in the bottom right quadrant. 14x and -6y. We also know that EF is 10 units long therefore F must be at 14+10=24x. To find the midpoint of the line segment, use half the length of EF and add to E.
14+(10/2)=14+5=19
Therefore
Ur midpoint is at (19,-6)
gray aurora
Ur midpoint is at (19,-6)
But that's not an option
gray aurora
I listed the choices lol
golden nexus
Could the line just be a line along the y axis?
Therefore add 5 to the y?
Your answer should be (14,1)
If that's true
Tahts not their either
Argh
gray aurora
From what I rember my teacher said something among the lines that we know the line is 10 units. So the mid point would have to be 5 units away from E. Then you check and see wich one could be it?
golden nexus
I just said tha
We add 5 to 14 you get 19 which is not there, add 5 to -6 which is also not there
Why tf is there -14
Gimme a sec I'm drawing a diagram
gray aurora
K
I think the answer was A now that I'm looking at what I circled
Though I have no clue how that's the answr
west steeple
From what I rember my teacher said something among the lines that we know the li...
Yes. Find the distance between the point E and the four options given, and see which answer yields 5 units.
west steeple
Though I have no clue how that's the answr
It's not.
gray aurora
Yes. Find the distance between the point E and the four options given, and see w...
Ok
gray aurora
I'm gonna crash out
?
golden nexus
The answers don't match upp
Unless we're taking units literally
I'm trying my best 😔
west steeple
The answers don't match upp
If this question is troubling you, please refer to the advice given beforehand. Else, you are confusing the OP.
golden nexus
Alr
gray aurora
If this question is troubling you, please refer to the advice given beforehand. ...
So wait. The mid point is 5 away from the point and we are looking for points that Could be the mid point wouldt that make the answer B?
Since the y coordinate is 5 units away from E's Y coordinate
?
west steeple
So wait. The mid point is 5 away from the point and we are looking for points t...
What is the distance between the points (-14,11) and (14,-6)?
gray aurora
5 on the y and 28 on the X?
golden nexus
What is the distance between the points (-14,11) and (14,-6)?
14 units
No
Uhh
28 units
gray aurora
What is the distance between the points (-14,11) and (14,-6)?
Or could it be C? Since the distances on both the X and Y are less than 5? I'm honestly quite confused
west steeple
5 on the y and 28 on the X?
No. The distance between two points is given by the formula d = sqrt[(x2-x1)^2 + (y2-y1)^2]. I'm assuming that you added the x and y-coordinates together to arrive at those answers (although you should only have one numerical value to represent the length).
I'll set up the question for you to solve for answer choice a. Find the distance between the two points (-14, 11) and (14, -6) when:
x1 = -14
x2 = 14
y1 = 11
y2 = -6
Use the formula above.
golden nexus
No. The distance between two points is given by the formula d = sqrt[(x2-x1)^2 +...
It's 5 units
...
√(14-(-14))²+((-6)+11)²
For the first bracket,
14²-2(14)(-14)+(-14)²
196-392+196
(-196)+196
=0
Second bracket
(-6)²-2(-6)(11)+11²
36-132+121
(-96)+121
25.
Your root now is
√0+25
√25
=5
west steeple
√(14-(-14))²+((-6)+11)²
For the first bracket,
14²-2(14)(-14)+(-14)²
196-392+19...
Recheck you arithmetic on -2(14)(-14), as well as -2(-6)(11). You also unnecessarily performed binomial expansion when you could've just added both integers before squaring the sums.
I do not want to go as far as to say that these errors were deliberate, but your continuously questionable inputs make me think otherwise.
slender rampart
It’s just any point at a distance of 5 units from E
@gray aurora
Naturally, they would’ve given only one such point as an option
So just check each option
slender rampart
√(14-(-14))²+((-6)+11)²
For the first bracket,
14²-2(14)(-14)+(-14)²
196-392+19...
- You do NOT need to use the binomial expansion
- Two negatives when multiplied, give a positive as the answer. (You forgot this twice)
- It’s -6-11 not -6+11
- You also wrote 6 as -6 but then incorrectly multiplied it as if it didn’t have a negative sign anyway, so at least that didn’t cause any trouble. (Still very wrong)
umbral flax
Wtf just write the equation of circle of radius 5 and centre at E check which points satisfy
(x-14)² + (y+6)² = 25
C satisfies
@gray aurora
If you dont know equation of circle you can get the same result by using dist formula
From E to (x , y) should be 5units
Sqrt((x-14)² + (y+6)²) = 5
slender rampart
(x-14)² + (y+6)² = 25
You wrote x twice
slender rampart
If you dont know equation of circle you can get the same result by using dist fo...
Both times
But, otherwise, yeah
umbral flax
You wrote x twice
Yeah mb
lime sentinelBOT
@gray aurora