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3 years ago

Use the distributive property to write an equivalent expression to 2(n + 5)

Mathematics

2 answers:

klemol [59]3 years ago

8 0

Answer:

2n + 10.

Step-by-step explanation:

2(n + 5)

= 2 * n + 2 * 5

= 2n + 10.

Hope this helps!

N76 [4]3 years ago

7 0

Answer: 2n + 10

Explanation: In this problem, the 2 "distributes" through the parenthses which means that it multiplies by each of the terms inside.

So we have 2(n) + 2(5) which simplifies to 2n + 10.

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Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

Bumek [7]

Given:

Line segment AB has one endpoint at A(0,0).

(5, 3) is 1/3 of the way from A to B.

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Suppose point P(5, 3) is 1/3 of the way from A to B.

$\dfrac{AP}{AB}=\dfrac{1}{3}$

$\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}=\dfrac{1}{3-1}=\dfrac{1}{2}$

It means, point P(5, 3) divides the segment AB in 1:2.

Section formula:

If a point divides a line segment in m:n, then

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Point P(5, 3) divides the segment AB in 1:2. Using section formula, we get

$P=\left(\dfrac{1(a)+2(0)}{1+2},\dfrac{1(b)+2(0)}{1+2}\right)$

$(5, 3)=\left(\dfrac{a}{3},\dfrac{b}{3}\right)$

On comparing both sides, we get

$\dfrac{a}{3}=5$

$a=15$

$\dfrac{b}{3}=3$

$b=9$

Therefore, the coordinates of point B are (15,9).

8 0

3 years ago

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 - 2m6+5m²n4 - m³n³

777dan777 [17]

Option A is the correct option. The polynomial correctly combines the like terms and expresses the given polynomial in standard form is,

f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶

<h3>What is the polynomial equation?</h3>

A polynomial equation is an equation in which the unknown variable is one and the highest power of the unknown variable is n. Here n can be any real number.

Given information-

The polynomial equation given in the problem is,

8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³

Let the above polynomial is. Thus,

f(m,n) = 8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³

The terms with the same base and exponents can be added or subtracted from each other. Thus solve the equation further as,

f(m,n) = ( 8mn⁵ - mn⁵ ) -2m⁶ + ( 5m²n⁴+9m²n⁴ ) - ( m³n³-4m³n³) + n⁶-4m⁶

f(m,n) = 7mn⁵ - 2m⁶ + 14 m²n⁴ - 5 m³n³ + n⁶- 6m⁶

Arrange it as,

f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶

Thus the polynomial correctly combines the like terms and expresses the given polynomial in standard form is,

f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶

Learn more about the polynomial equation here;

brainly.com/question/2833285

#SPJ1

8 0

2 years ago

Karen's mom is filling 12 birthday hats with candy for her birthday party. Each hat is shaped like a cone with a height of 6 inc

KatRina [158]

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

<h3>What is volume?</h3>

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a cone is given by:

volume = (1/3) * π * radius² * height

The cone that has a height of 6 inches and a radius of 3 inches. Hence:

Volume = (1/3) * π * 3² * 6 = 56.55 in³

For 12 hats:

Volume = 12 * 56.55 in³ = 678.58 in³

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

Find out more on volume at: brainly.com/question/12410983

6 0

3 years ago

Ivan earns $8 each time he walks his neighbors dog.He already walked the dog 5 times

posledela

Answer:

8 x 5..

Step-by-step explanation:

45$

7 0

3 years ago

Read 2 more answers

sladkih [1.3K]

Answer:

the capacity of the airplane be 200 passengers

Step-by-step explanation:

According to the question, the data provided is as follows

Number of passengers in an airplane = 180

Capacity = $\frac{9}{10}$

Based on the above information

Let us assume the capacity of the airplane be x

So the equation would be

$\frac{9}{10} \times x = 180\\\\\\x = \frac{1,800}{9}$

So x = 200

Therefore the capacity of the airplane be 200 passengers

We simply applied the above equation so that the capacity of the airplane could come

6 0

3 years ago

Use the distributive property to write an equivalent expression to 2(n + 5)​

Use the distributive property to write an equivalent expression to 2(n + 5)