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2 years ago

What is the equation of a circle with center at (3,-4) and radius of 3

Mathematics

1 answer:

koban [17]2 years ago

8 0

Answer:

$\displaystyle [x - 3]^2 + [y + 4]^2 = 9$

Explanation:

Accourding to one of the circle equations, $\displaystyle [x - h]^2 + [y - k]^2 = r^2,$ the centre of the circle is represented by $\displaystyle [h, k].$ Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.

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Find the area of the shaded portion in the equilateral triangle with sides 6.

VashaNatasha [74]

First, let's get the area of the entire triangle since we'll need it later. The area of a triangle is A=1/2*b*h

We can find the height with the Pythagorean theorem by splitting the triangle in half.
3^2+b^2=6^2
9+b^2=36
b^2=27
b=√27

Then we can find the area:
A=1/2*6*√27
A=3√27 or =9√3 or 15.59

Now we can find the area of each region in the triangle other than the shaded region because they are all portions of a circle.

Each region has an angle of 60 because this is an equilateral triangle. Therefore the area of each region other than the shaded region will be 1/6 the area of a circle with a radius of 3 because a full circle is 360 degrees.
A=pi*r^2/6
A=pi*9/6
A=4.71

So three of these regions would have an area of 14.14

We do the area of the triangle minus the area of these regions to get the area of the shaded region
15.59-14.14 = 1.45

Hope this helps!

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3 0

3 years ago

Simplify.

Ray Of Light [21]

$Use\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{75}=\sqrt{25\cdot3}=\sqrt{25}\cdot\sqrt3=5\sqrt3\to\boxed{B)}$

7 0

3 years ago

Tupac bought a new video game. While he learned how to play, he played 5 games and had a

Firdavs [7]

Answer:

isnt tupac dead tho

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Which of the equations below shows the relationship in the table?

poizon [28]

Answer: y=15/x

For this problem you need to use trial and error.

For the first equation, 15-14 does equal 1, but 5-14 doesn’t equal 3. For the second equation, 15x15 doesn’t equal 1. For the third equation, 15+2 doesn’t equal 1. For the last equation, 15/15 is 1, 15/5 is 3, and so on. So, the last equation shows the relationship in the table.

7 0

2 years ago

Run a multiple regression where the dependent variable is ratings and the independent variables are star and fact. Use data from

Vanyuwa [196]

Answer:

See explaination

Step-by-step explanation:

See attachment for diagram

The r value is 0.373 (low). This implies a weak correlation between the dependent and independent variables for this sample.

The overall p- value for the regression model is 0.0017. This implies that at least one of the two independent variables (x1 or x2) in the model is significant predictor of the dependent variable y.

p- values for the both "Fact" and "Star" are < 0.05. This means both the independent variables are significant predictors of the "Rating" at 95% confidence level. The variable "Fact" is significant at 99% level of confidence also. This means the rating viewers award to a movie depends upon both the storyline (fact or Fiction) and the presence or absence of stars.

Expected rating for a fact based movie with no stars = 1.7991(1) + 1.2586(0) + 12.5685 = 14.37

Expected rating for a fiction based movie with a star = 1.7991(0) + 1.2586(1) + 12.5685 = 13.83

So, one may expect a fact based movie without any stars to get better ratings than a fiction based movie with one star.

7 0

3 years ago