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Effectus [21]
3 years ago
6

Which of the following circles have their centers on the x-axis? Check all that apply.

Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0

Answer: Option A and Option D

Step-by-step explanation:

By definition the general equation of a circle has the following form

(x-h)^2+ (y-k)^2=r^2

Where r is the radius and the point (h, k) is the center of the circle

All points that are on the x axis have the following form:

(h, 0)

Therefore all the circles that have their centers on the x axis will have a value of k = 0.

Identify among the options all those equations that have a value of k = 0

The circles that have their center on the x axis are option A and option D

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What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?
kifflom [539]
Good night, 

<span>Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: </span>\frac{1289}{100}

\frac{12}{144}= \frac{1}{12}

<span>The above numbers can be expressed as a fraction, then the logical answer is: </span>\sqrt{12}

But we will check the answer: 

\sqrt{12}= \sqrt{2^{2}*3 }  =2* \sqrt{3} =3.4641016...

As you can see we can't express that number as a fraction, so that is te correct answer.

6 0
3 years ago
Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
Airida [17]

Answer:

The manager can select a team in 61425 ways.

Step-by-step explanation:

The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In how many ways can the manager select a team?

2 cashiers from a set of 10.

4 kitchen crews from a set of 15. So

T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425

The manager can select a team in 61425 ways.

7 0
2 years ago
A salesperson sells $2700 in merchandise and earns a commission of $324
RUDIKE [14]
A salesperson receives 3%
4 0
3 years ago
Write this ratio 1:3.5 in the form p:q where p and q are whole numbers
Orlov [11]

We have to express the ratio 1 : 3.5 in the form p:q where p and q are whole numbers.

Consider the ratio of 1 and 3.5,

1 : 3.5 = \frac{1}{3.5}

= \frac{10}{35}

Reducing the above fraction to its lowest form.

So, we get \frac{10}{35}=\frac{2}{7}

Therefore, the ratio 1 : 3.5 is expressed as \frac{2}{7}

where 2 and 7 are the whole numbers.

4 0
3 years ago
Which one doesn’t belong and why? (look at the picture)
QveST [7]
I think b because all the other lines are the same length and b lines aren’t
7 0
3 years ago
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