Question

A right triangle has base (x - 6) units and height (6x - 12) units.

Answer 1

Part A: What is the square of the length of the hypotenuse of the triangle? Show your work.

Part B: What is the area of the triangle?

Part C: Using the solution obtained in Part B, explain the closure property of multiplication of polynomials.

Answer 2

Only answer A through messages please :D

Answer 3

area: (6x-12)*(x-6)/2

Answer 4

mhm....

Answer 5

I can see you got that by multiplying (x - 6) by (6x - 12) right?

Answer 6

yeah

Answer 7

ok, what next?

Answer 8

and then divde by 2

Answer 9

1/2 base times height = right triangle area

Answer 10

yeah.... oh thanks :D

Answer 11

1/2*b*h is the area of any triangle

Answer 12

x=3x^2−24x+36 right?

Answer 13

(refresh page)

Answer 14

hypotenuse^2=(x-6)^2+(6x-12)^2

Answer 15

what is the hypotenuse?

Answer 16

hero formula is the area of any triangle

Answer 17

what is the hypotenuse in your case AlexandervonHumboldt2?

Answer 18

hypotenuse^2=(x-6)^2+(6x-12)^2

Answer 19

hypotenuse=sqrt((x-6)^2+(6x-12)^2)

Answer 20

after trying multiple times, I don't believe it's possible to solve that without knowing what x is @AlexandervonHumboldt2 !

Answer 21

it cannot be known

Answer 22

the answer is with variable

Answer 23

ah ok.... so mind helping me out?

Answer 24

ok

Answer 25

:)

Answer 26

so what do we start by doing?

Answer 27

what you need help with?

Answer 28

solving for the hypotenuse :|

Answer 29

ok

Answer 30

so what do we start by doing?

Answer 31

so in part A we need the sqruare of hypotenuse so...

Answer 32

hypotenuse^2=(x-6)^2+(6x-12)^2

Answer 33

ok...

Answer 34

x^2-12x+36+36x^2-144x+144

Answer 35

37x^2+−156x+180

Answer 36

37x^2-156x+180

Answer 37

yes

Answer 38

is that the hyp or still more to do?

Answer 39

square of hypotenuse is 37x^2-156x+180

Answer 40

ah ok... so A?

Answer 41

yeah

Answer 42

off to b?

Answer 43

area: (6x-12)*(x-6)/2

Answer 44

haha ok then, off to c?

Answer 45

(6x-12)*(x-6)/2=(6x^2-48x+72)/2=3x^2-24x+36

Answer 46

ok wow that is a lot of calculating :D

Answer 47

not a lot had you fanned me?

Answer 48

thx now

Answer 49

Haha yw :D

Answer 50

Can you through messages help me explain the closure property?

Answer 51

probably no because i dont know closure property

Answer 52

sorry

Answer 53

no that's ok, but do you know anyone who does?

Answer 54

@ganeshie8

Answer 55

@Directrix

Answer 56

@TylerD

Answer 57

thanks :D

Answer 58

i mesagged ganishe lets see

Answer 59

ok :)

Answer 60

?

Answer 61

hi :D

Answer 62

oh closure property

Answer 63

yeah :D

Answer 64

i found explanation: A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation.

Answer 65

hmm... somewhat complicated, but I understand some parts...

Answer 66

A set that is closed under an operation or collection of operations is said to satisfy a closure property.

Answer 67

how would we explain that using b?

Answer 68

probably as b has no limits

Answer 69

oh really... why?

Answer 70

no clue

Answer 71

well because in ^2 everything is poitie
lenght cannot be negative

Answer 72

ah ok...

Answer 73

thanks a lot.... :D

Answer 74

np

Answer 75

i had becomed green today

Answer 76

its probably something dumb like hieght/2 times base/2 = blah

Answer 77

haha

Answer 78

oh and congrats @AlexandervonHumboldt2 ... I can see, you're green not lime :D

Answer 79

well yeah thx

Answer 80

i posted that in study group OpensTudy feedback

Answer 81

:D green and mean...

Answer 82

:D green and mean...