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3 years ago

Which of the following is a degenerate circle? answer choices A,B,C,D from top to bottom

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

5 0

Hello,

we may call a point as a degenerated circle :
(x-5)²+(y-1)²=0 is the point (5;1)

Answer A

Kitty [74]3 years ago

5 0

Answer:

A. $(x-5)^2+(y-1)^2=0$

Step-by-step explanation:

When the radius of a circle is zero, then it is called a degenerate circle.

The general equation of circle with center at $(h,k)$ and radius of r is,

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

So the radius is 0, so the equation will be in form of,

$(x-h)^2+(y-k)^2=0$

Out of the given option A has is a circle with radius of 0.

$(x-5)^2+(y-1)^2=0^2$

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A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10

True [87]

Answer:

Recursive formula:

$a_1=5;a_n=5+a_{n-1},n>0$

Explanation:

All the shown formulae in the choice list are recursive formulae instead of explicit formulae.

Explicit formulae that represent arithmetic sequences are of the form:

$a_n=a_1+(d-1)n$

That kind of formula permits to determine any term knowing the first term, the number of the term searched, and the common difference (d).

On the other hand, the recursive formulae let you to calculate one term knowing the previous term and the difference.

In this case, the difference in the number of squares of two consecutive terms is:

differece = number of squares in the second layer - number of squares in the first layer.

d = 10 - 5 = 5

Then, the recursive formula is:

$a_1=5;a_n=5+a_{n-1},n>0$

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3 years ago

Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on to

Likurg_2 [28]

Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.

Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude

g = 9.8m/s².

As Professor Sosa drops the bag, its initial velocity and time are 0.

The building has a height of 400ft, so adjusting units: y = 121.92 m and $y_{0}$ = 0.

For this problem, going down will be the positive reference.

Then:

$y=y_{0}+v_{0}t+\frac{g}{2}t^{2}$

$\Delta y=v_{0}t+\frac{g}{2}t^{2}$

$121.92=\frac{9.8}{2}t^{2}$

$t=\sqrt{\frac{121.92*2}{9.8} }$

t ≈ 5

It will take 5s for the candy corn bag to land on the ground.

Acceleration is the change in velocity per change in time, so:

$g=\frac{\Delta v}{\Delta t}$

As initial velocity and time are 0 and rearraging it:

v = g.t

v = 9.8*5

v = 49

The bag will hit the ground with velocity of magnitude 49 m/s.

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3 years ago

Which of the following is a source of income?

AleksandrR [38]

Answer:

A. Business ownership

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4 years ago

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3/4 is added to x, the result is 9/8 . What is the value of x? Enter your answer in the box as a fraction in simplest form. Plea

pentagon [3]

⓵ Write down your complete equation:

x + ¾ = 9/8

⓶ Solve the equation in order to find the value of “x”:

x + ¾ = 9/8
- ¾ - ¾

x = 9/8 - ¾

There a 3 simple steps to subtract fractions:

⒈ Make sure the bottom numbers (the denominators) are the same.

9/8 - ¾ → They don’t have the same denominator.

You need to multiply the top number and the bottom number of ¾ by 2 :

3 (x2) 6
—- = ——
4 (x2) 8

So now you are left with : 9/8 - 6/8

⒉ Subtract the top numbers (the numerators). Put the answer over the same denominator :

9 - 6 = 3 → ⅜

⒊ Simplify the fraction (if needed) :

⅜ → The fraction is already simplified.

⇨ Your answer is: x = ⅜

There you go! I really hope this helped, if there’s anything just let me know! ☻

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4 years ago

Find the next four terms of the sequence 125, 25, 5, 1,

Lina20 [59]

I think the answer is D sorry if I’m wrong

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3 years ago

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