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3 years ago

What type of conic section is the following equation? 4x2 + 4(y2 - 4) = 0 parabola circle hyperbola ellipse

Mathematics

1 answer:

stepladder [879]3 years ago

8 0

Answer:

Circle

Step-by-step explanation:

The center-radius form of the circle equation is in the format (x – h)² + (y – k)²= r². with the center being at the point (h, k) and the radius being "r". This form of the equation is helpful, since you can easily find the center and the radius.

A circle is a set of points in the plane.

So the conix section with this 4x2 + 4(y2 - 4) = 0 is definitely a circle.

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How is this wrong? I'm confused

jolli1 [7]

Answer:

60m = t

Step-by-step explanation:

For " per minute ( 1 minute ) ", he can type 60 words.

For " m minutes ", he can type

m times 60

= m x 60

= 60m

Hence,

60m = t

5 0

2 years ago

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If a letter is chosen at random from the word MATHEMATICS, what is the probability of choosing a T? A. 1/11 B. 2/11 C. 4/11 D. 5

Xelga [282]

Answer: option B. 2/11

Explanation:

1)
                       number of positive outcomes
Probability = ------------------------------------------
                        number of possible outcomes

2) Number of positive outcomes:

The positive outcome is choosing a T, given that there are two Ts, the number of positive outcomes is 2.

3) Number of possible outcomes

There are 11 letters, so the number of total outcomes is 11.

4) Therefore,

                        2
probability = ------
                       11

4 0

3 years ago

If an animal dies, what percent of the carbon-14 will be left in 20000 years?

Radda [10]

Answer:

8.898% will remain after 20000 years.

Step-by-step explanation:

First week need to know the half-life of carbon-14.

In this case it's 5,730 years.

There are calculators available online. (I'm too lazy to run through the equation.) 8.898% will remain after 20000 years.

5 0

4 years ago

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

What decimal percent so shaded part of the model below

Serga [27]

The answer is 3/10 cause 3 bars out of 10 are shaded in.

hope it helped!!!

8 0

4 years ago

Read 2 more answers