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Yuliya22 [10]
2 years ago
13

Identify the law illustrated by: 5n x 1 is the same as 5n

Mathematics
1 answer:
tangare [24]2 years ago
7 0

<u><em>The law illustrated is Distributive Law</em></u>

This question is under a topic called algebra laws.

The laws are;

- Commutative law; This implies that when we are to add or multiply numbers, the order of addition or multiplication doesn't matter as we will still get same result.

- Associative law; This implies that if we want to add more than 2 numbers, if we decide to add the first 2 before adding the third one, we will still get the same result as if we added the second one to the third one before adding to the first one. This law also applies to multiplication.

- Distributive law; This implies that when two numbers are multiplied to produce a result, both numbers are factors of the result.

We are told in the question that ; 5n x 1 = 5n

This means that 5n and 1 are factors of 5n and this corresponds to distributive law

Read more at; brainly.in/question/39479409?tbs_match=1

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What is the midpoint of line segment AB?
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Answer

Midpoint = (3, 5.5)

Step by step explanation

Here we have to use the midpoint formula.

Midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} \\)

Here the point A = (-1, 8) and B = (7, 3)

x1 = -1, y1 = 8, x2 = 7 and y2 = 3

Now plug in these values into the formula.

Midpoint = (\frac{-1 + 7}{2} , \frac{8 + 3}{2}

= (6/2, 11/2)

= (3, 5.5)

Therefore, the midpoint the line segment AB is (3, 5.5)

Thank you.


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It is important when solving an equation to perform identical operations on each side so that the equation remains equal.
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14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.
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Answer:

Length  =25 inches

Width = 15 inches

Step-by-step explanation:

Let l = length of rectangle, w = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

lw = 375

2l+2w=80

So:

l+w = 80\div2

=40

l=40-w

Now, we can use substitution to find the value of w:

lw = 375

(40-w)w = 375

40w-w^2 = 375

375+w^2-40w = 0 (Quadratic equation)

(w-15)(w-25) = 0

∴ w = 15, 25

We can use substitution again to find the value of l

lw = 375

l=375\div w

=25,15

∵ Length usually refers to the longer side of a rectangle, ∴ length =25 inches and width =15 inches.

Hope this helps :)

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n an after school program, students must choose to either play on the playground or read a book silently. On one cloudy day, 70%
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20% b/c
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