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valentina_108 [34]
3 years ago
10

A rectangle's is 8cm more than three times its width. If the perimeter is 128 cm, find the length

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0
Hello!

To solve this we will use substitutions and a system of equations where L= length and w=width.

128=2L+2w
L=8+3w

We will substitute L with what it says it equals in the second equation.

128=2(8+3w)+2w
128=16+8w
112=8w
14=w

Now we find the length in the second equation.
L=8+42
L=50
Now we check the length and width in the original equation.
128=100+28
128=128

The length is 50 cm, and the width is 14.

Hope this helps!

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<h3><u>Explanation</u></h3>
  • Modulus Function

y = a |x  - h|  + k

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From the given equation,

f(x) =  |x - 2|  - 7

We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).

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2 years ago
Suppose that a certain college class contains students. Of these, are juniors, are mathematics majors, and are neither. A studen
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Answer:

<h2>2/5</h2>

Step-by-step explanation:

The question is not correctly outlined, here is the correct question

<em>"Suppose that a certain college class contains 35 students. of these, 17 are juniors, 20 are mathematics majors, and 12 are neither. a student is selected at random from the class. (a) what is the probability that the student is both a junior and a mathematics majors?"</em>

Given data

Total students in class= 35 students

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|M ∪ N|= 35-12= 23

|M∩N|=  |M|+N- |MUN|= 17+20-23

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So the probability that a random student is both a junior and social science major is

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7 0
2 years ago
Adding negative numbers<br> 5+ (-4) =
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1

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Follow the signs rule:

IF:

There is a + sign, and the number directly next is +, add

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There is a - sign, and the number directly next is -, add

In this case, there is a plus sign, and a negative sign, therefore, subtract:

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1 is your answer.

~

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3 years ago
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When a=6,

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Find the measure of MNI. please help! i’ll give you brainlist!
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Answer:

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Step by step explanation:

\text{The exterior angle of a triangle =  sum of two opposite interior angles.}

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2 years ago
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