Question

Segment AB has point A located at (5, 4). If the distance from A to B is 7 units, which of the following is the coordinate for point B? (5 points)
Select one:
a. (3, 2)
b. (-2, 4)
c. (2, 1)
d. (12, 11)

Answer 1

@MelissaHolmes @jim_thompson5910

Answer 2

hi!

Answer 3

helo can you help me on this one to

Answer 4

ya, sure

Answer 5

whoa... profile picture change there.... XD

Answer 6

yea

Answer 7

d. because...
(5, 4)
5 + 7 = 12
4 + 7 = 11
thus...
(12, 11)

Answer 8

@iambatman do agree

Answer 9

Hint: use the distance formula


\[\Large d = \sqrt{\left(x_{2}-x_{1}\right)^2+\left(y_{2}-y_{1}\right)^2}\]

Answer 10

soooo.... was i right? i never learned anything about a formula....

Answer 11

(x1,y1) = (5,4)
(x2,y2) = (x,y)
d = 7

so...

\[\Large d = \sqrt{\left(x_{2}-x_{1}\right)^2+\left(y_{2}-y_{1}\right)^2}\]

\[\Large 7 = \sqrt{\left(x-5\right)^2+\left(y-4\right)^2}\]

Answer 12

so you would multiply out the squared stuff and solve for x and y?

Answer 13

Now let's see if (12,11) is 7 units away from point A. Plug in (x,y) = (12,11)

\[\Large 7 = \sqrt{\left(x-5\right)^2+\left(y-4\right)^2}\]

\[\Large 7 = \sqrt{\left(12-5\right)^2+\left(11-4\right)^2}\]

\[\Large 7 = \sqrt{\left(7\right)^2+\left(7\right)^2}\]

\[\Large 7 = \sqrt{49+49}\]

\[\Large 7 = \sqrt{98}\]

\[\Large 7 = 9.89949493\]


So because that last equation is false, this means that (12,11) is NOT 7 units away from point A

Answer 14

hmm... so how would you find out what the actual answer is?

Answer 15

plug in each point and see which satisfy the equation

\[\Large 7 = \sqrt{\left(x-5\right)^2+\left(y-4\right)^2}\]

Answer 16

oh.... so no way to actually solve?

Answer 17

what should i go with

Answer 18

unfortunately no because there are infinitely many points that are 7 units away from A

Answer 19

if we could replace y with some expression in terms of x, then we can solve

Answer 20

hmmm.... i see..... ok

Answer 21

ok then ill get to the next one then ok

Answer 22

so we each do one?

Answer 23

ok im about to post it here

Answer 24

Two boats start their journey from the same point A and travel along directions AC and AD, as shown below.

Answer 25

What is the distance, CD, between the boats? (5 points)
Select one:
a. 461.9 ft
b. 530.9 ft
c. 646.4 ft
d. 325.5 ft

Answer 26

@jim_thompson5910 do u know this?

Answer 27

yes, it turns out that B is the answer because...


\[\Large 7 = \sqrt{\left(x-5\right)^2+\left(y-4\right)^2}\]

\[\Large 7 = \sqrt{\left(-2-5\right)^2+\left(4-4\right)^2}\]

\[\Large 7 = \sqrt{\left(-7\right)^2+\left(0\right)^2}\]

\[\Large 7 = \sqrt{49+0}\]

\[\Large 7 = \sqrt{49}\]

\[\Large 7 = 7\]


So (-2,4) is one point that is 7 units away from A(5,4)

Answer 28

is 5,4 the answer

Answer 29

hmm... ok :D

Answer 30

ok what about this one

Answer 31

good job @jim_thompson5910
you are very knowledgeable :D

Answer 32

i just posted

Answer 33

hint: first find the lengths of BC and BD

to get CD, you subtract, so

CD = BD - BC

Answer 34

you will use the idea that

\[\Large \tan(\theta) = \frac{\text{opp}}{\text{adj}}\]

Answer 35

so what would it be @jim_thompson5910

Answer 36

are you able to find BC or BD?

Answer 37

NO i was thinking it was A but maybe im wrong

Answer 38

I'll show you how to find BC


\[\Large \tan(\theta) = \frac{\text{opp}}{\text{adj}}\]


\[\Large \tan(60) = \frac{400}{BC}\]


\[\Large BC\tan(60) = 400\]


\[\Large BC = \frac{400}{\tan(60)}\]

Answer 39

i have three more questions after thi one ok

Answer 40

actually four hope you guys can help you really have been good to me

Answer 41

1, 249.842 is what i got.
but that doesn't seem right...
@jim_thompson5910 ?

Answer 42

oh, and sure @prowrestler i'll help the best i can :D

Answer 43

Finding BD


\[\Large \tan(\theta) = \frac{\text{opp}}{\text{adj}}\]


\[\Large \tan(30) = \frac{400}{BD}\]


\[\Large BD\tan(30) = 400\]


\[\Large BD = \frac{400}{\tan(30)}\]

Answer 44

Now subtract

\[\Large CD = BD - BC\]


\[\Large CD = \frac{400}{\tan(30)} - \frac{400}{\tan(60)}\]


\[\Large CD \approx 461.8802153517 ... \ \text{Use a calculator here}\]

Answer 45

So the answer is A

Answer 46

for that last line, you type in "400/tan(30) - 400/tan(60)" without quotes

Answer 47

If you do not have a calculator, google is a great calculator

Just type in "400/tan(30 degrees) - 400/tan(60 degrees)" without quotes into google to get

https://www.google.com/search?q=400/tan(30%20degrees)%20-%20400/tan(60%20degrees)

Answer 48

my calculator came out with -1, 312.290?????

Answer 49

you need to be in degree mode MelissaHolmes

Answer 50

aahhhh... ok i see.... that makes sense.....

Answer 51

So the answer is A right

Answer 52

and google by default is in radian mode, so you have to tack on the word "degrees" in each tangent to force degree mode in google

Answer 53

yes prowrestler

Answer 54

thanks

Answer 55

couple more guys and gals

Answer 56

ok!

Answer 57

Find the perimeter of a quadrilateral with vertices at C (-2, 1), D (2, 4), E (5, 0), and F (1, -3). Round your answer to the nearest hundredth when necessary. (5 points)
Select one:
a. 12 units
b. 16 units
c. 20 units
d. 24 units

Answer 58

@jim_thompson5910

Answer 59

ummm.... this is completely new to me.... sorry...... :(
maybe post it as a new question and see if anyone else can help u...

Answer 60

I want to see if @jim_thompson5910 can help hes smart

Answer 61

and you are to:)

Answer 62

i know, he IS smart...
he's helping someone else currently apparently

Answer 63

oh, and thanks!

Answer 64

stay here though please

Answer 65

ok :)

Answer 66

@campbell_st

Answer 67

Find the perimeter of a quadrilateral with vertices at C (-2, 1), D (2, 4), E (5, 0), and F (1, -3). Round your answer to the nearest hundredth when necessary. (5 points)
Select one:
a. 12 units
b. 16 units
c. 20 units
d. 24 units

Answer 68

oh, u know what... i'll graph the points and try to figure it out and be helpful :D

Answer 69

ok

Answer 70

i love you for this

Answer 71

@jim_thompson5910 can you help now:)

Answer 72

ok so i graphed this and i got this:

Answer 73

hey fan me back and give me a medal pleeease:)

Answer 74

so maybe around 24 units?

Answer 75

sure!

Answer 76

can i have a medal to

Answer 77

medal?

Answer 78

thanks

Answer 79

:D

Answer 80

what do you look like

Answer 81

@jim_thompson5910 heres the question

Answer 82

Find the perimeter of a quadrilateral with vertices at C (-2, 1), D (2, 4), E (5, 0), and F (1, -3). Round your answer to the nearest hundredth when necessary. (5 points)
Select one:
a. 12 units
b. 16 units
c. 20 units
d. 24 units

Answer 83

MelissaHolmes it looks like you used geogebra to plot those points. You can use geogebra to calculate the distances/lengths and find the perimeter.

Answer 84

we thought it was 24 units

Answer 85

i can? and yeah... i did use geogebra...

Answer 86

see attached

Answer 87

whoa.... okay... i guess you can.....

Answer 88

A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B. (5 points)
Select one:
a. (3.8, 6.8)
b. (3.9, 4.8)
c. (4.2, 5.6)
d. (4.3, 5.9)

Answer 89

it's possible you just didn't have the "algebra" window open to see the segment lengths

Answer 90

ok.... maybe...

Answer 91

oh, yeah that makes sense :D

Answer 92

@jim_thompson5910 can u help?

Answer 93

A (3, 4) and C (5, 11) have x coordinates of 3 and 5 respectively. That x difference is 5-3 = 2 units


The given ratio is 2:3 which means we'll have a total of 2+3 = 5 parts


Split that 2 unit gap into 5 parts to get 2/5 = 0.4


------------------------------------------------------


The y difference is 11 - 4 = 7


Split that gap into 5 pieces to get 7/5 = 1.4


------------------------------------------------------

Because the first number of the ratio is 2, we will move 2 increments in both the x and y directions (starting from point A)


so this means


x = 3 ----> 3 + 2*(0.4) = 3.8
y = 4 ----> 4 + 2*(1.4) = 6.8


meaning that point B is at (3.8, 6.8)

See attached to have a look at what I'm describing

Answer 94

so the answer is A right