The perimeter of a rectangle is the sum of all its sides. As a formula, this is
P = w + w + l + l = 2w + 2l = 2(w + l),
where P is perimeter, w is the width, and l is length.
Let's apply this formula to your question and substitute given information, then solve for l.
P = 2(w + l)
10x + 6 = 2(3x - 3 + l).
10x + 6 = 6x - 6 + 2l
4x +12 = 2l
l = 2x + 6
Answer:
true
Step-by-step explanation:
for example, when you solve an equation and you get something like 16=16, which is infinitely many solutions and is also a true statement
One prism with a volume of 2400 might have a rectangular base with a length of 4 and a width of 5, as well as a height of 120.
V = l x w x h
V = 4 x 5 x 120
V = 2400
This prism would essentially look like a really tall rectangle, since the height is such a large number. I wouldn't accurately represent the units on graph paper, if I were you. Just label the sides with the numbers I gave you.
Another prism with a volume of 2400 might be a rectangular prism with a length of 8, a width of 10, and a height of 30.
V = l x w x h
V= 8 x 10 x 30
V = 2400
This would also be a tall rectangle, although it isn't as tall. Keep in mind that l x w x h is only the volume formula for a rectangular prism. I only used rectangular prisms because they would be the easiest for this example. A triangular prism has a different volume formula.
The area of the track will be 78501 m². The area of the track is equal to the area of the circle.
<h3>What is the area?</h3>
The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square meters and other similar units are used to measure area.
The area of the track is found as;

Hence, the area of the track will be 78501 m².
To learn more about the area, refer to the link;
brainly.com/question/11952845
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<h2>
Answer:</h2>
<em><u>Recursive equation for the pattern followed is given by,</u></em>

<h2>
Step-by-step explanation:</h2>
In the question,
The number of interaction for 1 child = 0
Number of interactions for 2 children = 1
Number of interactions for 3 children = 5
Number of interaction for 4 children = 14
So,
We need to find out the pattern for the recursive equation for the given conditions.
So,
We see that,

Therefore, on checking, we observe that,

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.
<u>At, </u>
<u>n = 1</u>

which is true.
<u>At, </u>
<u>n = 2</u>

Which is also true.
<u>At, </u>
<u>n = 3</u>

Which is true.
<u>At, </u>
<u>n = 4</u>

This is also true at the given value of 'n'.
<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>
