Help I need help answering a couple questions

[Helpurgent]

For the 3 that are equations I need to know all factors like (x+_) and for the shape ones i need to know the length. Thanks

 

[Helpurgent]

I need help with this one too

 

[Dr.Peterson]

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[docr.sg]

Hi, I have solved your first question.
You can view the solution here:

 

[HallsofIvy]

Do you know how to factor numbers? The second one (since you say you have already done the first) is $\displaystyle x^2- 38x- 80$. To "factor" a trinomial means to find integers, a and b, so that the trinomial is equal to the product $\displaystyle (x- a)(x+ b)= x^2- x+ bx- ab= x^2- (a- b)- ab$ (I have used the same negative signs as in the given polynomial). So how does 80 factor? Since 80 is an even number, "2" is a factor- the easiest way to factor 80 is 2 times 40 and it just happens that 40- 2= 38! So this factors as (x- 2)(x+ 40).

For the "rectangle" problem, I presume you know, from elementary geometry, that "area equal length times width". Here, you are told that the area is given by $\displaystyle x^2+ 16x- 36$ and that the width is x- 2. So the length must be some number "a" such that $\displaystyle (x+ a)(x- 2)= x^2+ 16x- 36$ (I know it must be "-a" rather than "+a" because (+a)(-2) will be negative as is -36. In fact since -2a must equal -36, a must equal -36/-2. So what is a?

 

[Steven G]

I wonder if Helpurgent and docr.sg are the same person??

 

[Deleted member 4993]

I wonder if Helpurgent and docr.sg are the same person??

Probably not - one has static IP address from Singapore - the other has static IP address from NY.

 

[Steven G]

Probably not - one has static IP address from Singapore - the other has static IP address from NY.

Thanks for looking into this. It just seems suspicious.

 

[HallsofIvy]

I suspect that docr.sg is just shilling another website!

 

[docr.sg]

Hi Helpurgent

The detailed explanation for your question can be found here: