1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
insens350 [35]
3 years ago
13

I don't understand how to do this

Mathematics
2 answers:
asambeis [7]3 years ago
7 0

Answer: the first option is the correct answer.

Step-by-step explanation:

The center of the circle is (-6, -3)

The formula for determining the equation of a circle us expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = - 6 and k = - 3

Radius, r = 12

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - - 6)² + (y - - 3)² = 12²

(x + 6)² + (y + 3)² = 144

IgorC [24]3 years ago
3 0

Answer:

It is the first option

(x + 6)^2 + (y + 3)^2 = 144

Step-by-step explanation:

the formula of a circle is given by

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

h would be the value of the center in x

k would be the value of the center in y

r = would be the radio

replacing with the given values

h = -6

k = -3

r = 12

(x - (-6))^2 + (y - (-3))^2 = 12^2

(x + 6)^2 + (y + 3)^2 = 144

You might be interested in
Janette has 386 pennies. 58 nickels and 19 dimes If Janette exchanges her coins for​ dollars, how many dollars will she have? Ho
svet-max [94.6K]

Answer:

$8 ; 66 cents

Step-by-step explanation:

Given that:

Worth of penny, dimes and Nickel in cents and dollars

Nickel, n = 5 cents = $0.05

Dimes, d = 10 cent = $0.1

Penny, p = 1 cent = $0.01

Multiplying the number of each coin with its respective value ;

386(0.01) + 58(0.05) + 19(0.1)

$3.86 + $2.9 + $1.9

= $8.66

Changing it to dollar ,

$8.66 dollars = 8 dollars ;

$0.66 = 66 cents

6 0
2 years ago
Inverse of y equals 12 to the x
e-lub [12.9K]

Answer:

f^{-1}(x) = log_{12}(y)

Step-by-step explanation:

We have the following function

y = 12^x, and we need to find the inverse function.

To find the inverse function we should solve the equation for "x". To do so, first, we need to:

1. Take the logarithm in both sides of the equation:

lg_12 (y) = log _12 (12^x)

(Please read lg_12 as: "Logarithm with base 12")

From property of logarithm, we know that lg (a^b) = b*log(a)

Then:

lg_12 (y) = x*log _12 (12)

We also know that log _12 (12) = 1

Then:

x = log_12(y).

Then, the inverse of: y= 12^x is:

f^{-1}(x) = log_{12}(y)

5 0
3 years ago
Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
svetlana [45]

Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

3 0
2 years ago
Read 2 more answers
Restaurateur Denny Valentine is evaluating two sites, Raymondville and Rosenberg, for his next restaurant. He wants to prove tha
Aleksandr-060686 [28]

Answer:

\bar X_1 represent the sample for the sample 1

\bar X_2 represent the sample for the sample 2

s_1 represent the deviation for the sample 1

s_2 represent the deviation for the sample 2  

n_1 = 81 represent the sample size for the group 1

n_2 = 81 represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis :\mu_1 -\mu_2 \leq 0

Alternative hypothesis: \mu_1 -\mu_2 >0

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  

On this caseHe wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). So this statement need to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.  

Solution to the problem

We assume that we have the following statistics:

\bar X_1 represent the sample for the sample 1

\bar X_2 represent the sample for the sample 2

s_1 represent the deviation for the sample 1

s_2 represent the deviation for the sample 2  

n_1 = 81 represent the sample size for the group 1

n_2 = 81 represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis :\mu_1 -\mu_2 \leq 0

Alternative hypothesis: \mu_1 -\mu_2 >0

5 0
3 years ago
Which ordered pair is a solution of the equation -3x - y = 6
e-lub [12.9K]
Hello there!


The correct answer is option B (-3,3)

-3x - y = 6

-3(-3) - 3 = 6

9 - 3 = 6

6 = 6

Thus, the correct answer is option B

Good luck with your studied!


8 0
3 years ago
Other questions:
  • If the cells continue to double every 5 minutes, how long will it take to fill 3 additional bottles of the same size? minutes
    6·2 answers
  • Find the interquartile range for a data set having the five-number summary: 4.9, 12.4, 20.5, 28.8, 34.3
    8·1 answer
  • Help please i need answer i think it is b
    6·1 answer
  • Michael can paint 1/2 of a room every 1/3 of an hour. How many rooms can Michael paint in 1
    12·1 answer
  • working together, two pumps can drain a certain pool in 4 hours. if it takes the older pump 9 hours to drain the pool by itself,
    8·2 answers
  • Lawyers for each side of a case are questioning people who received a jury summons. What part of the trial process does this des
    10·1 answer
  • What’s the answer for this question
    9·1 answer
  • 11 A right triangle is shown.
    14·1 answer
  • Which expression is equal?
    12·2 answers
  • After 4 minutes of reading, Aaron was on page 14 of his book. After 8 minutes he was on page 20. Which equation models the page
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!