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nirvana33 [79]
4 years ago
5

A rectangle's length is 12.1 more than 3 times its width. Its perimeter is 122.6. Write and solve a system of equations to find

the dimensions of the rectangle.
Mathematics
1 answer:
mylen [45]4 years ago
7 0

Step-by-step explanation:

Let width of the rectangle be y

Length of rectangle = 3y + 12.1

Perimeter = 2(L + y) = 122.6

2 (4y + 12.1 ) = 122.6

8y + 24.2 = 122.6

y = 98.4 / 8

<u>y (width) = 12.3</u>

<u>Length</u><u> </u><u>=</u><u> </u><u>49</u>

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Which polynomial is the perfect square trinomial? And why??? Help Please!!
lutik1710 [3]
<h3>Answer:</h3>

See the attached

<h3>Step-by-step explanation:</h3>

When you square the binomial (a -b), you get ...

... (a -b)² = a² -2ab +b²

That is, both the a² and b² terms have positive signs, and the middle term is twice the product of the roots of the squared terms.

The last two selections have negative signs on the constant, so cannot be perfect square trinomials.

The first selection has a middle term that is -ab, not -2ab, so it is not a perfect square trinomial, either.

The second selection is the correct one:

... 4a² -20a +25 = (2a +5)²

4 0
3 years ago
Please put a serious answer
aksik [14]

Answer:

x=12

Step-by-step explanation:

9x-14=2(3x+11)

9x-14=6x+22

9x-6x=22+14

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8 0
3 years ago
M&lt;5=? what’s it equal
WINSTONCH [101]

Answer:

<8

Step-by-step explanation:

They are the same angle degree.

5 0
3 years ago
g A university administrator obtains a sample of the academic records of past and present scholarship athletes at the university
kupik [55]

Answer:

the chance of obtaining a difference in GPAs between male and female scholarship athletes as large as that observed in the sample if there is no difference in mean GPAs is 0.287

Step-by-step explanation:

When conducting hypothesis tests, the P value tells you the probability of the results happening by random chance.  That's why we usually test against a very low alpha level, usually 1% or 5%.  

Here P = 28%, so there is a 28% chance that if we take a sample of athletes, about 1 out of 4 times there won't be a significant difference in GPA between males and females.

6 0
4 years ago
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v
Anettt [7]
X + 3y = 7
x = -3y + 7

2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-6y + 4y = 8 - 14
-2y = - 6
y = -6/-2
y = 3

x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2

solution is (-2,3)
5 0
3 years ago
Read 2 more answers
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