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3 years ago

A rectangle is ( x + 6 ) meters long and ( 2 x − 1 ) meters wide. Which expression represents the PERIMETER of the rectangle?

Mathematics

2 answers:

oee [108]3 years ago

5 0

Answer:

P = 6x + 10

Step-by-step explanation:

Perimeter of a rectangle

= 2(L + W)

Where L = length

W = width

Given

L= (x + 6)

W =(2x - 1)

Perimeter = 2( x+6 + 2x -1)

Simplify the bracket first

P = 2(x + 2x +6 - 1)

P = 2(3x + 5)

Now , expand the bracket

P = 2 x 3x + 2 x 5

P = 6x + 10

Furkat [3]3 years ago

4 0

Answer:

6x +10

Step-by-step explanation:

Perimeter = 2*(length + width)

= 2* (x+6 + 2x-1)

=2*(3x +5)

=2*3x + 2*5

=6x + 10

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What is the GCF for 52, 78

Feliz [49]

The GCF means Greatest Common Factor. This is the highest possible factor that multiple numbers have in common.

For example, 5 and 10.

5 = 1 x 5
10 = 1 x 10, 2 x 5
They both have 5 as the highest common factor, so 5 is the GCF.

Now that I've broken down what GCF means, let's factor out our numbers.

52= 1 x 52, 2 x 26, 4 x 13.
78= 1 x 78, 2 x 39, 3 x 26, 6 x 13.

These numbers both have 13 as the highest number.

The GCF of 52 and 78 is 13.

I hope this helps!

7 0

4 years ago

NEED HELP TAKING A QUIZ HAVE NO IDEA WILL MAKE YOU BRAINLEST

VLD [36.1K]

Answer:

x=3.6

Step-by-step explanation:

You subtract 0.68 from 5 and you get 1.2=4.32

Then you put 1.2 under 1.2 and 4.32 to get x on its own on that side you equation now looks like this x=3.6 So that is your answer

3 0

3 years ago

Read 2 more answers

Simplify the expression using long division. (10x2 – 85x – 10) ÷ (x – 8) Question 7 options: quotient 10x – 5 and remainder –50

Anna [14]

Answer:

The quotient is (10x - 5) and the reminder is -50 ⇒ 1st answer

Step-by-step explanation:

* Lets solve the long division by easiest way

∵ (10x² - 85x - 10)/(x - 8)

∵ (10x² - 85x - 10) is the dividend

∵ (x - 8) is the divisor

- Divide the first term of the dividend by the first term of the divisor

∴ 10x² ÷ x = 10x ⇒ first term of the quotient

- Multiply 10x by the the divisor

∴ 10x(x - 8) = 10x² - 80x

- Subtract the answer from the dividend

∴ (10x² - 85x - 10) - (10x² - 80x) =

# 10x² - 10x² = 0

# -85x - -80x = -85x + 80x = -5x

# -10

∴ (10x² - 85x - 10)/(x - 8) = 10x + (-5x - 10)/(x - 8)

* Repeat the same steps again with the new dividend -5x - 10

- Divide the first term of the dividend by the first term of the divisor

∴ -5x ÷ x = -5 ⇒ second term of the quotient

- Multiply -5 by the divisor

∴ -5(x - 8) = -5x + 40

- Subtract the answer from the dividend

∴ (-5x - 10) - (-5x + 40) =

# -5x - -5x = -5x + 5x = 0

# -10 - 40 = -50

∴ (-5x - 10)/(x - 8) = -5 + -50/(x - 8)

∴ (10x² - 85x - 10)/(x - 8) = 10x - 5 + -50/(x - 8)

- The quotient is the answer of the division

∴ The quotient is (10x - 5) and the reminder is -50

7 0

3 years ago

Read 2 more answers

What is 20 + 5 + 2 + 3 + 1 minus 1

Yuri [45]

20 + 5 + 2 + 3 + 1 minus 1 =30

4 0

3 years ago

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The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.

kolezko [41]

The correct question is
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. What is the volume of the composite figure<span>?
</span>
the complete question in the attached figure

we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³

[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³

[volume of a the composite figure]=[volume of a cone]+[volume of a <span>a triangular prism]

</span>[volume of a the composite figure]=[715]+[2750]-------> 3465 units³

the answer is
The volume of a the composite figure is 3465 units³

4 0

3 years ago

Read 2 more answers