anonymous
  • anonymous
A rectangle has sides measuring (2x + 7) units and (5x + 9) units. Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points) Can someone help me?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
??
anonymous
  • anonymous
@zepdrix
anonymous
  • anonymous
help

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More answers

anonymous
  • anonymous
PLS
anonymous
  • anonymous
@freckles
phi
  • phi
what is the formula for the area of a rectangle?
anonymous
  • anonymous
yay phi
anonymous
  • anonymous
its length times the width so so assuming (2x + 7) is the length and (5x + 9) is the width, the expression would be A=(2x + 7)(5x + 9)
anonymous
  • anonymous
i got that for part A
phi
  • phi
they probably want you to expand it (FOIL if you learned that)
anonymous
  • anonymous
ive never learned that,no
phi
  • phi
did you learn how to multiply two binomials ?
anonymous
  • anonymous
yes i think so
anonymous
  • anonymous
want me to?
phi
  • phi
FOIL is to remember First 2x*5x Outer 2x*9 Inner 7*5x Last 7*9 or 10x^2 + 18x+35x+63 and finally 10x^2 +53x+63
anonymous
  • anonymous
yea thats what i got
anonymous
  • anonymous
is that part of Part A?
phi
  • phi
yes, that is part A. (They want you to show your work... I assume you did)
anonymous
  • anonymous
yay i got part a, so can you help with part B?
phi
  • phi
Degree is the biggest exponent classification is polynomial
anonymous
  • anonymous
so first degree binomial?
anonymous
  • anonymous
is that right?
phi
  • phi
\[ 10x^2 +53x+63 \] what is the biggest exponent (little number in the upper right)
anonymous
  • anonymous
oops, 2nd degree
anonymous
  • anonymous
trinomial
anonymous
  • anonymous
i was looking at the the problem, not the solution for A=(2x + 7)(5x + 9) =10x^2 +53x+63
phi
  • phi
yes. all the suffices bi, tri, quad are Latin for 2, 3, 4 It helps to know your Latin FYI, the expression (2x + 7)(5x + 9) even if not multiplied out, is 2nd degree (or "quadratic" )
phi
  • phi
though we could not really call it trinomial if it's not multiplied out.
anonymous
  • anonymous
so what do we call it
phi
  • phi
part C is the same answer as the other problem, except use multiply instead of add or subtract.
phi
  • phi
You posted the answers: 2nd degree, trinomial
anonymous
  • anonymous
so for part c its (10x^2)(53x)(63) ?
phi
  • phi
for part B, you might want to also call it quadratic (just in case that is what they are expecting) for part C, the idea is if you multiply two polynomials, the answer will be a polynomial in part A, you do that, and the answer was a polynomial
anonymous
  • anonymous
do i put that for part c?
phi
  • phi
in your own words.
anonymous
  • anonymous
ok thankyou! Can you check my answers from the other question??
anonymous
  • anonymous
Side 1: 3x2 − 4x − 1 Side 2: 4x − x2 + 5 The perimeter of the triangle is 5x3 − 2x2 + 3x − 8. Part A: What is the total length of the two sides, 1 and 2, of the triangle? (4 points) Part B: What is the length of the third side of the triangle? (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points) Part A: The total length is 3x^2-x^2,which makes 2x^2+4 Part B: 4-12=-8 Part C:Part a and b both started with polynomials, and had a polynomial as an answer. So its showing that polynomials are closed under subtraction/addition.
phi
  • phi
Part A you say ***The total length is 3x^2-x^2*** that leaves out quite a bit. if you add two polynomials, you have to put in the entire polynomial , not just the cute terms you like
phi
  • phi
3x2 − 4x − 1 + 4x − x2 + 5
anonymous
  • anonymous
so do i say "3x2 − 4x − 1+4x − x2 + 5=3x^2-x^2" ??
phi
  • phi
the left side is good. the right side should be the "simplified" version for example you have 3 x^2 terms take away 1 x^2 term I would combine those to get just 2x^2 (not "3x^2-x^2" because that is not simplified) then do -4x + 4x (easy I hope?!) then do -1+5
anonymous
  • anonymous
2x2+4
phi
  • phi
yes. You had the correct answer, but how you got the answer looked dubious.
anonymous
  • anonymous
ooh okay
phi
  • phi
Part B I thought we did this. perimeter - (two sides) = 3rd side you should be showing polynomial (perimeter) - polynomial (from part A) = polynomial (answer)
phi
  • phi
You got the answer in the other post.
anonymous
  • anonymous
ill look back at it brb
anonymous
  • anonymous
3x2−4x−1+4x−x2+5=2x^2+4 ?
anonymous
  • anonymous
@phi
anonymous
  • anonymous
no wait thats A 5x3−4x2+3x−12 ?
phi
  • phi
first write down the polynomial for the perimeter then minus sign then (in parens) the polynomial from part A
phi
  • phi
then = and finally the answer 5x3−4x2+3x−12
anonymous
  • anonymous
5x3 − 2x2 + 3x − 8-(2x^2+4)= 5x3−4x2+3x−12?
phi
  • phi
yes
anonymous
  • anonymous
yaay thanks
phi
  • phi
part C is ok
phi
  • phi
good job. But if concentrate , it would go faster. We had to do that question twice.
anonymous
  • anonymous
okay thankyou

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