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Ne4ueva [31]
3 years ago
13

The length of a rectangle is 4 meters less than three times its width. Its area is 319 square meters. What are the dimensions of

the rectangle?
The width is
m.
The length is
m.
Mathematics
1 answer:
Bumek [7]3 years ago
7 0

Answer:

length =29m width =11m

Step-by-step explanation:

length---L

width -----W

L=3W-4

area=319sqm

area of rectangle=L × W

area of rectangle =W ×(3W - 4)=319

expanding...

3W^2 - 4W=319

3W^2 - 4W -319=0

factorize

(W-11)(3W+29)=0

W=11 or -29/3

using the positive because the negative width with a minus sign does not make sense in real life, we use 11m

width =11m

length 3W -4=3(11) -4 =29m

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1. Example of Fourth-degree trinomial<br> 2. Example of Cubic polynomial with four terms
borishaifa [10]
So, i think all you really need here is some definitions:
degree is the highest exponent that a polynomial has; a "fourth-degree" polynomial would have a highest exponent of 4.
a trinomial is a polynomial with 3 terms (tri means 3).
a cubic polynomial is a polynomial with an exponent of three.
terms are the values separated by signs in a polynomial; for example, in the binomial x - 1, both "x" and "-1" are terms.

with that info, an example of a fourth-degree trinomial is simply one with an exponent of 4 and 3 total terms: x⁴ + x² + 16 is one example, but there are maaaaaaaany examples you could create from it. x⁴ + x + 1 has a degree of 4 and three terms, so you can do whatever you want with it.

an example of a cubic polynomial with 4 terms could be x³ + x² + x + 1; x³ + 2x² + 27x + 119 is another. the most important thing for this one is that you list out x³, x², and x as well as a constant, because that's the only way to secure their placement in the polynomial without becoming like terms that combine and turn into fewer terms. you couldn't put two x² terms or multiple constants because they simplify into a single term.
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Which of the following is an appropriate question to ask
Olenka [21]
"What do I want to find out?" is the first step.
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