Mathematics OpenStudy (anonymous):

Which ratio represents the area of the smaller rectangle compared to the area of the larger rectangle? (Figure not drawn to scale) A rectangle with the dimensions x by x plus two is inside a larger rectangle with the dimenstions two x by x squared plus six x plus eight. x over x plus four x plus two all over x squared plus six x plus eight one over two times the sum of x and four two x times the sum of x and four OpenStudy (bme89):

The answer is 1/(2(x+4)) I'll type out how I got that OpenStudy (bme89):

First you multiply the lengths of each rectangle to get the areas x(x+2) 2x(x^2+6x+8) Then to take the ratio, you divide the two: [x(x+2)]/[2x(x^2+6x+8)] OpenStudy (bme89):

It reduces to (x+2)/[2(x^2+6x+8)] Then you factor the bottom to give: (2+x)/[2(x+4)(x+2)] The top cancels out with one of the bottom terms: 1/[2(x+4)] OpenStudy (anonymous):

Small rectangle x , x +2 dimensions Area Smaller rectangle= x(x+2) Large rectangle 2x , x^2 +6x +8 dimensions Area of larger rectangle = 2x *(x^2+6x+8) Factors of x^2 +6x +8 =(x+4)(x+2) Ratio of smaller to larger area = [x(x+2)]/ [ 2x*(x+2)(x+4)] 1: 2(x+4) One over two times the sum of x and 4 OpenStudy (anonymous):

what if it was like x(x+3) 3x(x^2+7x+12) @bme89 @rital1975 @missMob OpenStudy (bme89):

@Bcoxy8 first expand $x ^{2} + 7x +12$ into $(x+3)(x+4)$ That will give you the ratio of $\frac{ x(x+3) }{3x(x+4)(x+3)}$ then you can eliminate the x and (x+3) to give you...$\frac{ 1 }{ 3(x+4) }$

Latest Questions Lunar: Iu2019m so done with all your Lies by: me Say youu2019re there when I feel helpless, if thatu2019s true why donu2019t you help me? Leave me behind, I know I
25 minutes ago 1 Reply 0 Medals HeartTricker: Since losing his house to foreclosure last year, all Abe can think about is how he should have done things differently.
1 hour ago 0 Replies 0 Medals HeartTricker: say whether you think the person is suffering from complicated grief or depression and why you think that: Ever since her partner died two years ago, Charlo
2 hours ago 4 Replies 1 Medal smolgaybean06: okay- could someone help me with this, please? https://docs.google.com/document/d
2 hours ago 7 Replies 2 Medals HeartTricker: "Sorry your wife died, but I guess you knew that was coming. She was old anyway."
2 hours ago 2 Replies 1 Medal HeartTricker: "Be strong. Never let them see you cry." Alternative statement:
2 hours ago 2 Replies 1 Medal HeartTricker: "Joseph's dad died last month, and he has gotten over it. Why can you not?" Alter
3 hours ago 1 Reply 1 Medal HeartTricker: "Have you not you gotten over it?" Alternative statement:
3 hours ago 5 Replies 2 Medals smolgaybean06: any tips on drawing people? i'll take anything
3 hours ago 4 Replies 1 Medal taylerhart01: A ball is thrown from a height of 123 feet
3 hours ago 5 Replies 1 Medal