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TEA [102]
3 years ago
8

Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new wall

s need to be 1 built . The total length of the two new walls must be 12 m.
Martin wants the length of the closet to be twice as long as the width, as shown in the diagram.
b) Let the function f(l) be the sum of the length and the width. Find the equation for f(1).
c) Graph y = f(l).
d) Find the desired length and width. ile riding a
​
Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0

The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.

  • <em>The equation for f(l) is: </em>f(l) = 1.5l<em>.</em>
  • <em>The desired length and width are 8m and 4m</em>

<em />

Given that:

l = 2w

Divide both sides by 2

w = 0.5l

<u>Equation of f(l)</u>

The sum of the length and the width is represented as: f(l).

So, we have:

f(l) = l + w

Substitute w = 0.5l

f(l) = l + 0.5l

f(l) = 1.5l

See attachment for the graph of f(l)

<u>The desired dimension</u>

From the question, we understand that the total length is 12m.

This means that:

f(l) = 12

So, we have:

1.5l = 12

Divide both sides by 1.5

l = 8

Recall that:

w = 0.5l

w = 0.5 \times 8

w = 4

Hence, the desired length and width are 8m and 4m, respectively.

Read more about linear equations at:

brainly.com/question/2263981

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The perimeter is composed of two straight parts and two semicircles. We can use this to break down the problem.

We can find the straight parts easily. They are given in the problem.

straight parts: 82 x 2 = 164 m

The two semicircles make a circle. We just have to find the circumference of a circle with a diameter of 66 cm to get the length of the semicircles.

semicircles: 2(π)(66/2) = 66(3.14) = 207.24 m

answer: 164+207.24 = 371.24 m

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3 years ago
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erica [24]
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32) 

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7 0
3 years ago
Which expression is not a perfect square trinomial?
puteri [66]

Answer:

Remember that a perfect square trinomial can be factored into the form (a+b)^2

or (a-b)^2

Examples:

(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4

(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9

(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2

Now to answer your question,

for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial

for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial

for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial

for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial

Therefore, your answer is choices 2 and 3

Read more on Brainly.com - brainly.com/question/10522355#readmore

Step-by-step explanation:

8 0
3 years ago
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Hi, I need help with this question. Here is the question: For which data set is the median greater than the mean?
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Answer:

Set 2

Step-by-step explanation:

First find the median of each set (the median being the number in the middle):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 10

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 10

Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 12.8

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 7.2

the answer being 12.8 since 12.8 is greater than 10

4 0
3 years ago
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