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tw101
 one year ago
Please help!
I have an assignment that I have been trying to do but i'm a bit stuck. I have done the first questions but need help on the last ones. Help would be much appreciated. (i will put pictures below)
tw101
 one year ago
Please help! I have an assignment that I have been trying to do but i'm a bit stuck. I have done the first questions but need help on the last ones. Help would be much appreciated. (i will put pictures below)

This Question is Closed

tw101
 one year ago
Best ResponseYou've already chosen the best response.1This is what I have. And I have already done questions 1,2,and 3, but only got halfway on 6&7. I drew the triangle and rectangle but I'm not sure how to get the length of the sides.Im also not sure how to do 4&5. I know that for parallel the slopes are the same and for perpendicular they're opposite reciprocals, but do I have to draw two new lines to accommodate the given points?

phi
 one year ago
Best ResponseYou've already chosen the best response.1to do Q4, we need to know the equation of the line for Q2 (for example) a parallel line will have the same slope I don't know what slope you got for Q2, but pretend it was 2. then the equation for Q4 would be y = 2x + b (same slope, but we need to find b) they say this line goes through the point (1,3) (i.e. when x is 1, y is 3) so use that info to get 3 = 2*1 + b or 3 = 2+ b to find b, add 2 to both sides and simplify but remember we need the slope for Q2 (which is probably not 2)

phi
 one year ago
Best ResponseYou've already chosen the best response.1for Q5 a perpendicular slope to slope "m" is 1/m for example if m is 2/3 then the perpendicular slope is 3/2 (flip and negate) or: 1/2 and 2 or 2 and 1/2 or 3 and 1/3 say you choose the line from Q2. get its slope and "flip it" then multiply by 1 after you get the slope, it is the same problem as Q4... you have to find b

phi
 one year ago
Best ResponseYou've already chosen the best response.1for Q6, I would pick a "simple triangle" (a right triangle with legs that go straight across and straight up/down) we don't have to, but it is easier. the length of the straight across line is easy: count the number of squares (or subtract the x values) for a slanted line you have to use the distance formula do you have that in your notes?

phi
 one year ago
Best ResponseYou've already chosen the best response.1I don't know if you have to plot the lines for Q4 or Q5 but it can't hurt. once you have the equation, find two points on the new line and plot them... then connect the dots

tw101
 one year ago
Best ResponseYou've already chosen the best response.1THank you so much for helping me! sorry i didnt respond right away! I didnt realize that someone was actually looking at my question. I had given up haha.

phi
 one year ago
Best ResponseYou've already chosen the best response.1try to make progress if you post your work someone (me? if I'm here) will check it.

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay. for 4 and 5 what do you mean by plot lines?

phi
 one year ago
Best ResponseYou've already chosen the best response.1you wrote *** but do I have to draw two new lines to accommodate the given points?*** which I assumed meant: do I have to plot the new lines which will be parallel or perpendicular to the original line? and I thought it would not hurt.

tw101
 one year ago
Best ResponseYou've already chosen the best response.1I was going to do the line I drew over the left side of the triangle since its goes through the points it gave me. would that work?

phi
 one year ago
Best ResponseYou've already chosen the best response.1what two points does it go through. I'm not sure which line you mean

tw101
 one year ago
Best ResponseYou've already chosen the best response.1one second. Ill show the updated picture

tw101
 one year ago
Best ResponseYou've already chosen the best response.1I cut the triangle in half to make it how you said it would be easier.

tw101
 one year ago
Best ResponseYou've already chosen the best response.1the line that runs alongside the left side of the triangle

phi
 one year ago
Best ResponseYou've already chosen the best response.1ok, but first we have to fix that line. it goes through (2,5) and (4,8) its slope is change in y divided by change in x (85)/(42) or 3/2 we can say y = (3/2)x + b now use (2,5): 5 = (3/2)*2 + b 5= 3+b b= 2 and the equation is y= (3/2)x + 2

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay, so where would I go from there

phi
 one year ago
Best ResponseYou've already chosen the best response.1notice, when y= 19 (top of the outer box) 19= (3/2)x + 2 add 2 to both sides 17 = 3/2 x multiply both sides by 2/3 34/3 = x or x = 11.333 (11 and 1/3) not x=12 as you have. in other words your line on the graph is a little off

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay, so would i move it up just a little?

phi
 one year ago
Best ResponseYou've already chosen the best response.1not up. I would move the point at (12,19) to (11 1/3 , 19) you will have to estimate 1/3 of box over from 11 then redraw the line to go through the 3 points (2,5), (4,8) and (11 1/3, 19)

tw101
 one year ago
Best ResponseYou've already chosen the best response.1Okay. The (4,8) is the lower left part of the rectangle..

phi
 one year ago
Best ResponseYou've already chosen the best response.1ok. after you fix the line we can do Q4

phi
 one year ago
Best ResponseYou've already chosen the best response.1btw, y= (3/2) x + 2 will be an answer for Q2 . a line with positive slope and you have the work up above on how we found the equation

phi
 one year ago
Best ResponseYou've already chosen the best response.1Q4 ... the question is a bit muddled but I assume it is the new line that goes through (1,3) and they want it parallel to y= (3/2) x + 2 parallel means the same slope. so write the new equation. can you do that ?

tw101
 one year ago
Best ResponseYou've already chosen the best response.1so would it just be y=(1/3)x+2?

phi
 one year ago
Best ResponseYou've already chosen the best response.1start with y = m x + b (the "skeleton" that we fill in) we want this line to be parallel to y= (3/2)x + 2 what slope should we use for m ? (parallel means *same* slope)

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay, so would the (3/2) be the same then?

phi
 one year ago
Best ResponseYou've already chosen the best response.1Q1 is making the graph. you mean Q2 and Q3? for the "old line" we can use the line you used for Q2 what was it ?

tw101
 one year ago
Best ResponseYou've already chosen the best response.1yes, i already did 1,2, and 3

tw101
 one year ago
Best ResponseYou've already chosen the best response.1You have to choose 2 locations that make a line and are either positive or negative. I

tw101
 one year ago
Best ResponseYou've already chosen the best response.1i chose (2,5) (12,19) for positive (21,5) (12,19) for negative.

tw101
 one year ago
Best ResponseYou've already chosen the best response.1so for Q4, would it still be y=(3/2) +b

tw101
 one year ago
Best ResponseYou've already chosen the best response.1but we still have to find b

phi
 one year ago
Best ResponseYou've already chosen the best response.1if you change to (2,5), (4,8) we will get 3/2 for the slope (a much nicer number than if we use (12,19)

phi
 one year ago
Best ResponseYou've already chosen the best response.1and change (21,5) (12,19) for negative. to (21,5), (19, 8) (same reason..a nicer slope)

tw101
 one year ago
Best ResponseYou've already chosen the best response.1make both of them negative?

phi
 one year ago
Best ResponseYou've already chosen the best response.1no. for Q2 use the points (2,5) and (4,8) (slope will be 3/2) for Q3 use the points (21,5), (19,8) (slope will be 3/2)

phi
 one year ago
Best ResponseYou've already chosen the best response.1I hope that gets straightened out. but for Q4, we want a line parallel to the line from Q1 which has a slope of 3/2 we start with y= mx + b we replace m with 3/2 y= (3/2) x + b we want this new line to go through (1,3) replace x and y with those numbers 3 = (3/2)*1 + b can you find b ?

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay so i got (3/1)(3/2)

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, but people would combine that either put 3 over the common denominator of 2 (i.e. write it as 6/2 ) or change 3/2 to 1.5 and figure out 3  1.5

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay so it would be 4.5?

phi
 one year ago
Best ResponseYou've already chosen the best response.1so the answer for Q4 is y = (3/2) x  9/2

tw101
 one year ago
Best ResponseYou've already chosen the best response.1ok you already said that.

tw101
 one year ago
Best ResponseYou've already chosen the best response.1wow. okay. im sorry you guys had to go through that.

phi
 one year ago
Best ResponseYou've already chosen the best response.1ready for Q5? let's use the same line with slope (3/2) and we want a perpendicular line y= mx + b any idea what we use for m ?

tw101
 one year ago
Best ResponseYou've already chosen the best response.1since theyre reciprocals?

phi
 one year ago
Best ResponseYou've already chosen the best response.1we want "flip and negate" you negated but did not flip

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes so we have y = (2/3) x + b and they want this to go through point (2,7)

phi
 one year ago
Best ResponseYou've already chosen the best response.1to find b, replace x and y with those numbers

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay so it would be 7=(2/3)*2+b

tw101
 one year ago
Best ResponseYou've already chosen the best response.1then solve for b again right

tw101
 one year ago
Best ResponseYou've already chosen the best response.1sorry i didnt put parenthesis on the first pair

phi
 one year ago
Best ResponseYou've already chosen the best response.1that looks a bit peculiar. start with 7=(2/3)*2+b can you do 2 * 2/3 ?

tw101
 one year ago
Best ResponseYou've already chosen the best response.1sorry forgot a negative times a positive for a second. haha

phi
 one year ago
Best ResponseYou've already chosen the best response.1it is \[ 2 \cdot \frac{2}{3} = \frac{2}{1} \cdot \frac{2}{3}\] when you multiply fractions you multiply top * top and bottom * bottom

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. so you have 7 = 4/3 + b now add 4/3 to both sides

tw101
 one year ago
Best ResponseYou've already chosen the best response.17+4/3? i was looking at my old equation

phi
 one year ago
Best ResponseYou've already chosen the best response.1close. but added +4/3 we want 4/3 (because on the right side we want 4/3  4/3 which cancels)

tw101
 one year ago
Best ResponseYou've already chosen the best response.1im sorry, thank you for being so patient with me. math really isnt my stronest subject... at all.

phi
 one year ago
Best ResponseYou've already chosen the best response.1b= 7  4/3 change 7/1 to 21/3 (multiply top and bottom by 3)

phi
 one year ago
Best ResponseYou've already chosen the best response.1and yes you can write it 7 + (4/3)

phi
 one year ago
Best ResponseYou've already chosen the best response.1if you did 21/3 + 4/3 we have 21/3  4/3

phi
 one year ago
Best ResponseYou've already chosen the best response.1for Q6, did you change the top point from (12,19) to (11 1/3 , 19) ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes (otherwise you will get marked off (if they notice!) because (12, 19) is not really on the line from (2,5) to (4,8)

tw101
 one year ago
Best ResponseYou've already chosen the best response.1just draw a side straight down from that point now

phi
 one year ago
Best ResponseYou've already chosen the best response.1ok, now figure out the slope of the straight up/down line can you do that ?

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay so the two points are (11 1/3,19) and (11 1/3,4) so then i did the y1y2/x1x2 thing and got (0,15) not sure what to do now. would i substitute that into the equation? y=mx+b

phi
 one year ago
Best ResponseYou've already chosen the best response.1they don't want the equation of the line. they want its slope change in y divided by change in x notice you will get (194)/ (11.333 11.333) = 15/0 and divide by 0 is not allowed. we say the slope of a vertical line is undefined.

phi
 one year ago
Best ResponseYou've already chosen the best response.1they also want the length of that side. it is 194 or 15

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay so slope:undefined length:15

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. now do the bottom side

phi
 one year ago
Best ResponseYou've already chosen the best response.1though in your picture it looks like you only go down to y=5 (not y=4)

phi
 one year ago
Best ResponseYou've already chosen the best response.1I would try to use the point (2,5) in this triangle because we know the slope of the slant side will be 3/2 (we did that work up above)

tw101
 one year ago
Best ResponseYou've already chosen the best response.1sorry my internet is being really weird

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. and change the number where you show your work.

tw101
 one year ago
Best ResponseYou've already chosen the best response.1okay so for the bottom side i got (11 1/3,5) (2,5) then when subtracted i got 1/7 1/3

phi
 one year ago
Best ResponseYou've already chosen the best response.1ok, now you can do the bottom line (2,5) to (11 1/3, 5) change in y is (55) change in x is 11 1/3  2 = 9 1/3 and 0/ 9.333 is 0

tw101
 one year ago
Best ResponseYou've already chosen the best response.1ugh no that is not what i got

phi
 one year ago
Best ResponseYou've already chosen the best response.1if you have a calculator, it will help

tw101
 one year ago
Best ResponseYou've already chosen the best response.1sorry my computer is freezing up

phi
 one year ago
Best ResponseYou've already chosen the best response.1the length will be 9 1/3 (9 and 1/3) slope will be 0

phi
 one year ago
Best ResponseYou've already chosen the best response.1as a check, you can count how long it is. but they want you to "show the work" so you should also show 11 1/3  2 = 9 1/3

tw101
 one year ago
Best ResponseYou've already chosen the best response.1oh okay you said that haha sorry, again , slow computer

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes , slope is 0 (horizontal lines have slope 0)

phi
 one year ago
Best ResponseYou've already chosen the best response.1now the slant side (2,5) to (11 1/3, 19) first find change in y and change in x

phi
 one year ago
Best ResponseYou've already chosen the best response.1hint we did this already (see length of the vertical and horizontal sides)

tw101
 one year ago
Best ResponseYou've already chosen the best response.1yes, sorry i had to reset my connection

phi
 one year ago
Best ResponseYou've already chosen the best response.1you should get 14 and 9 1/3

tw101
 one year ago
Best ResponseYou've already chosen the best response.1yes, i did. im so sorry idk what going on with my wifi

tw101
 one year ago
Best ResponseYou've already chosen the best response.1change of x 195 change of y 11 1/32

phi
 one year ago
Best ResponseYou've already chosen the best response.1ok on your numbers, but x goes sideways... change in x is 9 1/3 the slope will be 14 / (9 1/3) to do that, write 9 1/3 as an improper fraction 28/3 when you divide by a fraction, you can "flip it" and multiply so 14 * 3/28 which is 3/2

phi
 one year ago
Best ResponseYou've already chosen the best response.1slope is 3/2 length we use the distance formula \[ \sqrt{ (y_2y_1)^2 + (x_2x_1)^2 } \] which is \[ \sqrt{ 14^2 + 9.3333^2} = \sqrt{196+87.11}= \sqrt{283.11}= 16.8\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1because the triangle has a right angle formed by the vertical and horizontal lines, it is a right triangle

phi
 one year ago
Best ResponseYou've already chosen the best response.1for Q7 I would use the "mall" as the quadrilateral the slopes will be 0 for the top and bottom (horizontal lines) and undefined for the sides the lengths are easy (I hope... count how long each side is) because the shape has 4 90 degree angles and the opposite sides are equal it is a rectangle.
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