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Dominik [7]
3 years ago
8

The center of a circle is (0, -8). The radius is 9. What is the equation of the circle? Select all that apply.

Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer:

x² + (y + 8)² = 81

Step-by-step explanation:

Centre (h,k) = (0,-8)

radius (r) = 9

(x - h)² + (y - k)² = r²

(x - 0)² + (y + 8)² = 9²

x² + (y + 8)² = 81

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Scott walks to and from school each day. Each round trip is 3 kilometers long.
natka813 [3]

The equation that shows the relationship between the number of round trips, x and the number of kilometers, y Scott walked is y = 3x

Each round trip = 3 km

x = number of rounds

y = number of km he has walked in all.

1 rounds  = 3 km

Therefore,

x rounds = 3x km

Each round of trip covers 3km. This means for each round of trip a distance of 3km is covered. The total distance or number of kilometers is represented with y.

The equation to show the relationship between x(number of rounds) and y (number of km) can be represented below

  • y = 3x

read more: brainly.com/question/14197865?referrer=searchResults

8 0
3 years ago
Factor completely.<br> x² - 3x² - 4
Ber [7]

Answer:

-2(x^2+2)

Step-by-step explanation:

1. x^2-3x^2-4
= -2x^2-4
2. -2(x^2+2) factor completely :)

7 0
2 years ago
Read 2 more answers
I NEED HELP NOW PLS ASAP
castortr0y [4]

Answer:

Step-by-step explanation:

hello,

I understand that there are only 4 cards  and then the player draw a card out of the 4 cards, replace it so the second draw is still out of the 4 cards

<u>How many ways can you draw two cards?</u>

as the first card is replaced, this is 4*4=16

so there is 16 possibles ways

hearts hearts

hearts clubs

hearts diamonds

hearts spades

clubs hearts

clubs clubs

clubs diamonds

clubs spades

diamonds hearts

diamonds clubs

diamonds diamonds

diamonds spades

spades hearts

spades clubs

spades diamonds

spades spades

<u>out of these 16 ways, how many have same colour for both cards?</u>

I assume that there are only two colours Red and Black, so we can have

only 8 ways so the first probability is 8/16 = 1/2

<u>out of these 16 ways, how many are red ace first and black ace?</u>

There are 4 ways so the probability is 4/16 = 1/4

hope this helps

8 0
3 years ago
Read 2 more answers
What is 1 1/5 subtracted by 3 1/10<br>whoever gets it right I will choose as the brainliest
pickupchik [31]

Answer:

6/5÷31/10=12/31

Step-by-step explanation:

6/5÷31/10=?Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

6/5×10/31=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

6×10 5×31=60/155

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 60 and 155 using

GCF(60,155) = 5

60÷51   55÷5=12/31

Therefore:

65÷3110=12/31

7 0
3 years ago
Which function has an inverse function?
daser333 [38]

Answer: Option B

Step-by-step explanation:

By definition, only those functions that are one to one have an inverse function.

A function is one by one if there are not two different input values, x_1 and x_2, that have the same output value y

Note that the function f(x)= \frac{|x+3|}{5}  is not a one-to-one function

When x=2  f(x)= \frac{|2+3|}{5}=1\ ,\ \ y=1

When x=8  f(x)= \frac{|-8+3|}{5}=1\ \ ,\ y=1

Note that the function f(x)= \frac{x^4}{7}+ 27  is not a one-to-one function

When x=1 f(x)= \frac{(1)^4}{7}+27\ ,\ \ y=\frac{190}{7}

When x=-1  f(x)= \frac{(-1)^4}{7}+27\ ,\ \ y=\frac{190}{7}

Note that the function f(x)= \frac{1}{x^2}  is not a one-to-one function

When x=1 f(x)= \frac{1}{(1)^2}\ ,\ \ y=1

When x=-1  f(x)= \frac{1}{(-1)^2}\ ,\ \ y=1

Then the answer is the option B.

You can verify that The function f (x) = x ^ 5-3 is a one-to-one function and therefore its inverse is a function

5 0
3 years ago
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