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2 years ago

Uestion Hel

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

6 0

40ft hope this hellped ask again

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Can you combine like terms without formally showing the distributive property? Explain.

blsea [12.9K]

Yes you can! Say you have 5(2 + x) + 3x. The answer would be 10+8x because when you use the distributive property you will end up getting 5*2 5*x and once you multiply, it's obvious 5 times 2 is 10 and 5 times x will equal 5x. Then you add 5x and 3x and get 8x. So, the simplified expression here is 10+8x. When you have this as an answer it's proving your answer right. You can without using the distributive property. We can have 10+5x+3x and it will be your simplified expression. It's the same thing with equations too.

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2 years ago

Which explanation can be used to derive the formula for the circumference of a circle?

Gelneren [198K]

Answer: The answer is the first explanation.

Step-by-step explanation: We are given five different options and we are to select which explanation is correct to derive the formula for a circumference of a circle.

Let 'C' be the circumference and 'd' be the diameter of a circle. Now, we will write the ratio of the circumference to the diameter as

$\dfrac{\textup{C}}{\textup{d}}.$

Also, we know that

$\dfrac{\textup{C}}{\textup{d}}=\pi.$

And diameter of a circle is twice the radius, so

$d=2r.$

Therefore,

$\dfrac{\textup{C}}{2\textup{r}}=\pi\\\\\Rightarrow \textup{C}=2\pi \textup{r}.$

This is the formula for the circumference of a circle. Since this explanation matches exactly with the first option, so the correct option is

(a). Find the relationship between the circumference and the diameter by dividing the length of the circumference and length of the diameter. Use this quotient to set up an equation to showing the ratio of the circumference over the diameter equals to π . Then rearrange the equation to solve for the circumference. Substitute 2 times the radius for the diameter.

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2 years ago

Need Help ASAP algebra 2

Anastasy [175]

Answer:

a = √10

Step-by-step explanation:

a² + b² = c²

a² + 9² = (√91)²

a² + 81 = 91

a² = 10

a = √10

hope this helps :)

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3 years ago

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The perimeter of a rectangle is 26 meters. The difference between the length and the width is 5 meters. Find the width

Scilla [17]

Try making a substitution:

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2 years ago

Prove that: <br> 27^10-9^14 is divisible by 24

Alexandra [31]

27^10-9^14

=3^30 - 3^28

=3^28 (3^2-1)

=3^28 ·8

=2^27 ·3·8

=3^27 · 24 is divisible by 24

4 0

2 years ago

Read 2 more answers