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3 years ago

Which of the following has a constant of proportionality of 2? A) y = 2x B) y = x + 2 C) 2y = x D) y + 2 = 2x

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

8 0

Answer: The answer is A. y=2x

둬ㅐㅛ!!!

ㅋㅋ

Setler [38]3 years ago

5 0

The correct answer is A.

You have direct variation if x and y are modeled by the equation

$y = mx$

In this case, m is the constant of proportionality. So, if the constant has to be 2, the equation becomes

$y = 2x$

A side note: Actually, option C has a constant of proportionality of two as well, except the roles of x and y are interchanged. I chose option A because usually you want the y = mx form, but the names of the variables are obviously meaningless.

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3 years ago

Which decimal does NOT represent the amount shaded in the grid? M

navik [9.2K]

Answer:

Step-by-step explanation:

B. 0.078 is your answer

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation

Vaselesa [24]

Answer:

$\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}$

Step-by-step explanation:

The circumference of a circle with radius $r$ is given by $C=2\pi r$ . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle $\theta^{\circ}$ is equal to $2\pi r\cdot \frac{\theta}{360}$ .

Formulas at a glance:

Circumference of a circle with radius $r$ : $C=2\pi r$
Length of an arc with central angle $\theta^{\circ}$ : $\ell_{arc}=2\pi r\cdot \frac{\theta}{360}$

Question 1:

The radius of the circle is 12 m. Therefore, the circumference is:

$C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}$

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

$\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}$

Question 2:

In the circle shown, the radius is marked as 2 miles. Substituting $r=2$ into our circumference formula, we get:

$C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}$

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

$\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}$

8 0

3 years ago

Which sequence isn’t a geometric progression?

AVprozaik [17]

Answer: 3, 6, 9, 12

Step-by-step explanation:

A geometric progression has a common ratio.

2,6, 18 and 54 has a common ratio of 3. When you multiply the first number by 3, you get the second number and the same thing applies to the third number.

1, 5, 25 and 125 has a common ratio of 5. When you multiply the first number by 5, you get the second number and the same thing applies to the third number.

4, 8, 16 and 32 has a common ratio of 2. When you multiply the first number by 2, you get the second number and the same thing applies to the third number.

3, 6, 9 and 12 is an arithmetic progression as 3 is added to each number

4 0

3 years ago