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2 years ago

Create the equation of a circle that has a center at (1,3) and a radius of 4 units.

Mathematics

1 answer:

Sidana [21]2 years ago

3 0

The equation of the circle centered at (1, 3) with a radius of 4 units is:

(x - 1)^2 + (y - 3)^2 = 16

<h3></h3><h3>How to write the equation of a circle?</h3>

For a circle with the center on the point (a, b) and radius R, the equation is:

(x- a)^2 + (y - b)^2 = R^2

In this case, the center is (1, 3) and the radius is R = 4, so the equation will be, so we just replace these in the general equation that we have above.

(x - 1)^2 + (y - 3)^2 = 4^2

(x - 1)^2 + (y - 3)^2 = 16

If you want to learn more about circles, you can read:

brainly.com/question/14283575

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Determine whether the following is an example of a sampling error or a non-sampling error. 12% of all people are left handed. A

const2013 [10]

Answer:

Sampling Error

Step-by-step explanation:

When the researcher randomly selected 200 people, he is creating an sample or subset from the population, that would be all the people in the earth. The error obtained was product of the fact that the analysis he made was estimated from the sample and not the whole population. There is no other mentioned factor that could cause an error, so the answer would be a sampling Error.

7 0

3 years ago

Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Anna007 [38]

Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

6 0

3 years ago

Please help me solve this question will give you braisnlt !

Svetllana [295]

Answer:

$s = 54m +160$

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

$(m_1,s_1) = (2,268)$

$(m_2,s_2) = (4,376)$

Next, we determine the slope, M:

$M = \frac{s_2 - s_1}{m_2 - m_1}$

$M = \frac{376 - 268}{4-2}$

$M = \frac{108}{2}$

$M = 54$

The equation is then calculated as:

$s - s_1 = M(m - m_1)$

Where:

$M = 54$

$(m_1,s_1) = (2,268)$

So, we have:

$s - 268 = 54(m - 2)$

Open bracket

$s - 268 = 54m - 108$

Collect like terms

$s = 54m - 108 + 268$

$s = 54m +160$

Hence, the equation is: $s = 54m +160$

4 0

3 years ago

In the diagram, parallel lines P and Q are cut by transversal R.

vitfil [10]

RQP X t

Step-by-step explanation:

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8 0

3 years ago

Put these fractions in order least to greatest. 4/6 1/3 and 1/5

stiv31 [10]

Answer:

1/5 < 1/3 < 4/6

Step-by-step explanation:

Using the given inputs:

4/6 1/3 1/5

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

4/6 1/3 1/5

20/30 10/30 6/30

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/5 1/3 4/6

6/30 < 10/30 < 20/30

Therefore, the sorted inputs in order from least to greatest is:

1/5 < 1/3 < 4/6

6 0

3 years ago