Question

PLEASE HELP!!!!!
A right triangle has base (x - 7) units and height (2x - 10) units.

Part A: What is the square of the length of the hypotenuse of the triangle? Show your work. (4 points)

Part B: What is the area of the triangle? (3 points)

Part C: Using the solution obtained in Part B, explain the closure property of multiplication of polynomials. (3 points)

Answer 1

Part A i believe is this:
hypotenuse^2 = (x-7)^2 +(2x -10)^2

Answer 2

part A this is the pythagoras theorem

Answer 3

Right, i know =) ^^^^^

Answer 4

I need help with Part B and C really =)

Answer 5

the area of the triangle = 0.5*base*height

Answer 6

Okay so. . . . . . I need a little bit of help with that pls =)

Answer 7

is it x^2 - 12x +35?

Answer 8

0.5(x - 7(2x - 10)
distribute the x and -7 over the second parentheses first then do the multiplication by 0.5

Answer 9

@welshfella

Answer 10

0.5(x^2 - 24x + 70)

Answer 11

your almost right

Answer 12

as for part C - the result is a polynomial which demonstrates that polynomials are closed under multiplication. Any polynomial times another gives a polynomial.

Answer 13

Okay so part B is 0.5x^2 -12x +35 ?

Answer 14

yes

Answer 15

okay now for part C =)

Answer 16

oops sorry !!
you didn't spot my deliberate mistake
you were right first time
its 0.5(2x^2 - 24x + 10)
= x^2 - 12x + 35

Answer 17

I've answered part C already.

Answer 18

Oh okay so it's x^2 -12x +35?

Answer 19

Part C: Well the closure property of polynomials is that if you multiply a polynomial by a polynomial you will end up with a polynomial ?

Answer 20

yes

Answer 21

Part C: Well the closure property of polynomials is that if you multiply a polynomial by a polynomial you will end up with a polynomial. So if we multiply x^2 -12x +35 by it’s self we will get a polynomial.

Answer 22

we sure will

Answer 23

So do u think that will answer part C sufficiently? =)

Answer 24

yes

Answer 25

its quite simple really any polynomial multiplied by itself or another polynomial will always give another polynomial. So its closed under multiplication.

Answer 26

just as integers are closed under multiplication . The result will always be an integer.

Answer 27

i'm not sure if they want you to expand and simplify the expression for the square of the hypotenuse. What do you think? Its worth 4 points.

Answer 28

Okay awesome thx! =)

Answer 29

@CountryGurl15