Mathematics, 14.07.2019 03:00 saucyyyyniahhhhh

Which of the following equations correctly represents a circle centered at the origin with a radius of 10? a. x2 + y2 = 100 b. x2 + y2 = 1002 c. x2 + y2 = 10 d. (x - 10)2 + (y - 10)2 = 100

Answers: 1

Show answers

Answers

Answer from: thomasbarbusca15

Step-by-step explanation:

Which of the following equations correctly represents a circle centered at the origin with a radius

Answer from: Cythina2007

From the given equations, we have to find the equation which correctly represents a circle centered at a origin with a radius of 10.

Let us consider the first equation,

1. $x^{2}+y^{2}=100$ can be expressed as

$(x-0)^{2}+(y-0)^{2}=(10)^{2}$ (Equation 1)

The general equation of sphere is $(x-a)^{2}+(y-b)^{2}=(r)^{2}$ where (a,b) is the center and r is the radius of the sphere. (Equation 2)

Comparing equation 1 with equation 2

So, we get center as (0,0) that is origin and radius is 10 units.

Therefore, it is the required equation.

2. The second equation is $(x)^{2}+(y)^{2}=(100)^{2}$

By comparing this equation with general equation of sphere, we can say it is equation of sphere with center at origin but radius is 100 units.

So, it is not the required equation.

3. The third equation is $(x)^{2}+(y)^{2}=(10)$

By comparing this equation with general equation of sphere, we can say it is equation of sphere with center at origin but radius is $\sqrt{10}$ units.

So, it is not the required equation.

4. The fourth equation is $(x-10)^{2}+(y-10)^{2}=100$

= $(x-10)^{2}+(y-10)^{2}=(10)^{2}$

By comparing this equation with general equation of sphere, we can say it is equation of sphere with center at (10,10) but radius is 10 units.

So, it is not the required equation.

So, option A is the correct answer.

Answer from: Quest

Uh idk bossman just do it lol

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Another question on Mathematics

Mathematics, 21.06.2019 15:30

James is playing his favorite game at the arcade. after playing the game 3 times, he has 8 tokens remaining. he initially had 20 tokens, and the game costs the same number of tokens each time. the number tt of tokens james has is a function of gg, the number of games he plays

Answers: 2

Answer

Mathematics, 21.06.2019 17:30

Graph the equation. select integers for x

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Linda loans her friend $250 with a 5% monthly intrest rate. how much was the whole loan?

Answers: 1

Answer

Mathematics, 21.06.2019 21:50

Aline passes through the point (–7, 5) and has a slope of 1/2 which is another point that the line passes through?