Question

can someone help me with my homework?

Answer 1

post your question

Answer 2

plot the points A= (5,3), B= (-4, -6) and D =(5,-6) on a set of axes. use a ruler to connect them inorder , including D back to A, to form a QUADRILATERAL ( a shape with four sides )

A) what kind of quadrilateral was formed?

B) how long is each side of quadrilateral?

C) what is the area of the quadrilateral?

D) what is the perminitor?

Answer 3

i think we need point C

Answer 4

A= (5,3) B = (-4,3) C= (-4,-6) D= (5,-6)

Answer 5

do you notice any straight lines, vertically and horizontally

Answer 6

well idont have any graph paper

Answer 7

_
o - o
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-
| | | - | | | |
-
-
o - o

does that give you idea of what it looks like

Answer 8

noo ihavent done the problem because idont have any graph paper but can we try another problem ?

Answer 9

you dont need graph paper, make your own graph
if you connect those points above what shape does it look like?

Answer 10

oh okae kool ill try it out right now and see what igot ..

Answer 11

its a square right ?

Answer 12

yes good job
now count how long is each side?

Answer 13

what do u mean count how long is each side? how do i count it ?

Answer 14

one of the quadrilateral tht was formed is a square right ?

Answer 15

when you made your graph, you had to use marks along the axis to make your points
count how many marks it takes to get from one point to the next

Answer 16

yes

Answer 17

igot 41 ?

Answer 18

points

Answer 19

wait 41 points is the perimiter right ?

Answer 20

lets try something different
look at point A and B

Answer 21

each side is 10 points

Answer 22

yes i think you kept counting all the way around

Answer 23

A is (5,3)
B is (-4,3)
Notice the 3 stayed the same
how much changed for the x-value from -4 to 5

Answer 24

yeah thats what iwas doing but from A to B is 10 points .

Answer 25

oh dont include the first point
count the spaces

Answer 26

so its 8 points ?

Answer 27

no. count the spaces in between the tick marks

Answer 28

yeah igot it is 8 points .

Answer 29

okay thats not right. let's try a different way. look at the x-coordinates for A and B. which is A = 5 and B = -4. then add those numbers together (don't bother with the negative sign. just ignore it). what do you get when you add them together.

Answer 30

igot 1?

Answer 31

5+4=?

Answer 32

9 im very confused about this

Answer 33

u said it was -4 thats why igot 1

Answer 34

i know. but i also said to ignore the negative sign. when dealing in distances you don't deal with negative numbers that's why you can ignore the negative sign and treat the number like a positive number. do you understand this?

Answer 35

yeah now idoo . so its 9 points to get across to another point?

Answer 36

|
- - - -| - - - - -
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here is a visual how many dashes on either side

Answer 37

yes. it's 9 points. now lets figure out the perimeter. how would you go about figuring this out?

Answer 38

iget it now ... its going to be 9 times 4?

Answer 39

yes. good job.

Answer 40

we skipped question C

Answer 41

do you know the formula for area?

Answer 42

no

Answer 43

okay. area = length x width (A= lw) what is the length and width?

Answer 44

idont get it?

Answer 45

okay. length refers to number of points from A to B or C to D.
width refers to the number of points from A to D or B to C.

Answer 46

so what does length equal and width equal?

Answer 47

youu add them all up ?

Answer 48

or u multiply them ?

Answer 49

okay. remember before when you found that all the distances from each point are 9. that's why the perimeter is 4 x 9. because there are 4 sides and each side has the distance of 9. so when finding area all you need to do is take the distance from one side and multiply it by another side. you with me?

Answer 50

not really im confused

Answer 51

9 times 9?

Answer 52

yes :)

Answer 53

kool 81?

Answer 54

yes. do you want me to try to explain the area formula?

Answer 55

yes please

Answer 56

can u help me with more problems please?

Answer 57

okay. here's a sample problem: find the area of the rectangle.
____________
| |
| | 5
|___________|
7

the area formula is A=lw
A=Area
l = length
w = width

so the find the area of the above rectangle you need to do what first?

Answer 58

sorry the rectangle got messed up a bit

Answer 59

35 ? kus u times 5 and 7

Answer 60

yes. good job :)
the length is 7
the width is 5

do you have another problem that you want to solve?

Answer 61

yes . A) draw a rectangle using Algebra tiles with area 2x + 4. write an algebraic expression for the dimensions of the rectangle formed with the tiles.

B) draw a rectangle using Algebra tiles with area 2x^2 + 4x in two different ways. write the algebraic expression for each rectangle.

C) how are the sketches for parts (a) and (b) different?

Answer 62

A) okay this would help if you draw a rectangle (don't worry about the dimensions we'll figure that out later).

Answer 63

okae

Answer 64

_______________
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| |
-------------

something like this.
now we'll need to use the area formula to figure out the dimensions. can you tell me what the area formula is?

Answer 65

15 times 2?

Answer 66

30

Answer 67

13

Answer 68

the rectangle i drew is just a visual aid. i'm asking for the area formula.
whenever someone is asking for a math formula they don't want specific numbers but the general formula that uses letters that represent numbers. you with me?

Answer 69

yeah isnt it 2x+4?

Answer 70

for this specific problem the area does equal 2x + 4, however, i'm asking for the general area formula that applies to any area question. the area formula is A=lw. can you tell me what l and w mean?

Answer 71

the area formula is A=lw
A=Area
l = length
w = width

Answer 72

yes. good job. now for this problem they gave you area. A = 2x + 4. so we know that also equals length time width
A = lw
A = 2x + 4
2x + 4 = lw

you with me?

Answer 73

not really im confused

Answer 74

okay. do you know what substitution means?

Answer 75

no

Answer 76

what grade are you?

Answer 77

i need to know so i can explain this in terms that you will understand

Answer 78

10th

Answer 79

are you taking algebra 1?

Answer 80

yeah

Answer 81

have you gone over factoring?

Answer 82

yes but idont get math at all

Answer 83

don't worry most people don't get it. it just takes practice.
now can you factor anything out from 2x + 4?

Answer 84

noo ??

Answer 85

you can factor something out from both terms.
can you tell me what the greatest common factor is for 2x and 4?

Answer 86

think about it like this.
2x = (2)(1)(x)
4 = (2)(2)
they both have in common a 2. so we can factor out the 2 so it looks like this:
2(1x + 2)

make sense?

Answer 87

just a lil bit

Answer 88

okay let's do this in steps
step 1: start with the original expression which in this case is 2x + 4
step 2: break the expression down into its factors: (2)(1)(x) + (2)(2) which still equals the original expression
step 3: find the number that both terms have in common, which would be 2
step 4: factor out the 2 so it looks like this: 2(x+2) which still equals the original expression

do you have any questions about this?

Answer 89

nooo

Answer 90

so you get it?

Answer 91

yeah iget what u explained to me just a lil idont get how to do the problems

Answer 92

okay remember the area formula is A=lw and the problem stated that the A=2x+4. we then factored the area into 2(x+2) which gives us 2 separate terms
the problem is asking for the dimensions which is length and width
A=lw
A=2x+4
2x+4 = 2(x+2)
A=2(x+2)
2(x+2) = lw
you with me?

Answer 93

yeah so iwrite tht down for A

Answer 94

not quite.
can you tell me what the length is?

Answer 95

2x+4

Answer 96

no. the area is 2x+4.
i'm asking for the length
area formula: A=lw
A=area
l= length
w=width

Answer 97

so u asked for the formula?

Answer 98

i'm sorry but i don't know how else to explain this so here are the answers
A) draw a rectangle using Algebra tiles with area 2x + 4. write an algebraic expression for the dimensions of the rectangle formed with the tiles.
answer: A = 2(x+2)
A=2x+4
l = 2
w = x+2

B) draw a rectangle using Algebra tiles with area 2x^2 + 4x in two different ways. write the algebraic expression for each rectangle.
answer: A = 2x^2 + 4x
A = 2x(x+2)
l = 2x
w = x+2