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sdas [7]
3 years ago
15

A rectangular room is 3 times as long as it is wide, and its perimeter is 32 meters. Find the dimension of the room.

Mathematics
1 answer:
romanna [79]3 years ago
4 0
The correct answer would be a length of 12 meters long
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Questions are in the picture
gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

#SPJ1

3 0
1 year ago
The sum of all the interior angles in a triangle is blank degrees. Please HELP
ozzi

Answer:

180º

Step-by-step explanation:

All the interior angles add up to 180º degrees.

3 0
2 years ago
Read 2 more answers
Why do people keep adding links instead of answering my? question
Svet_ta [14]

I know! It's kind if annoying tbh...

7 0
2 years ago
Write the inverse of the function: f (x) = 2x+3
34kurt

Answer:

y = \frac{x - 3}{2}

Step-by-step explanation:

To find the inverse of a function, simply 'switch' the x and y's and solve for y. y = 2x + 3 becomes x = 2y + 3. Now, solving for y, we get y = \frac{x - 3}{2}.

hope this helped! :)

6 0
2 years ago
List the angles of the triangle below in order from smallest to largest.
Elan Coil [88]

Answer:

M,L,K

Step-by-step explanation:

The angle opposite the side is in the order of their size. So the larger the side the larger the angle

8 0
3 years ago
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