Nicks poster has an Area of 2 1/2 feet. If the width is 1 1/4 feet what is the length?

1 answer:

4 0

The usual poster is in the shape of a rectangle. The formula for the area of a rectangle is written below:

A = LW
where L and W are the length and width dimensions

From the relationship described,
A = 2.5 ft²
W = 11/4 ft
Substituting this to the area equation:

2.5 ft² = L(11/4 ft)
Solving for L,
L = 10/11 ft

You might be interested in

Use the Remainder Theorem to completely factor p(x) = x ^3 + 7x ^2 + 11x + 5.

tigry1 [53]

In order to use the remainder theorem, you need to have some idea what to divide by. The rational root theorem tells you rational roots will be from the list derived from the factors of the constant term, {±1, ±5}. When we compare coefficients of odd power terms to those of even power terms, we find their sums are equal, which means -1 is a root and (x +1) is a factor.

Dividing that from the cubic, we get a quotient of x² +6x +5 (and a remainder of zero). We recognize that 6 is the sum of the factors 1 and 5 of the constant term 5, so the factorization is

... = (x +1)(x +1)(x +5)

... = (x +1)²(x +5)

_____

The product of factors (x +a)(x +b) will be x² + (a+b)x + ab. That is, the factorization can be found by looking for factors of the constant term (ab) that add to give the coefficient of the linear term (a+b). The numbers found can be put directly into the binomial factors to make (x+a)(x+b).

When we have 1·5 = 5 and 1+5 = 6, we know the factorization of x²+6x+5 is (x+1)(x+5).

4 0

3 years ago

Read 2 more answers

More Challenges:

kenny6666 [7]

Answer:

1. $-m(-8n^2-7n+1)$

2. $(2w+7c) (v+7c)$

5. (q+3r)(q^2-3qr+9r^2)

7. x= - 4/7, 1/9

See below for additional problems and help.

Step-by-step explanation:

To factor polynomials, look for patterns and greatest common factors. When you remove these factors, write the factor and what remains.

For example:

$8mn^2+7mn-m\\-m(-8n^2-7n+1)$

Notice the term $(-8n^2-7n+1)$ is left and is the term when the expression is divided by -m.

2. Factor by grouping is similar. Pull out factors within pairs of term. Separate the terms by parenthesis. If the quantities in the [parenthesis are the same, the factoring has been successful.

$(2vw + 7cv) + (14cw + 49c^2)\\v(2w+7c)+7c(2w+7c)$