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
SVEN [57.7K]
3 years ago
14

The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, poin

t, 5, right parenthesis, squared, plus, left parenthesis, y, minus, 3, point, 5, right parenthesis, squared, equals, 16 What is its center? ((left parenthesis ,,comma ))right parenthesis What is its radius? If necessary, round your answer to two decimal places. units
Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

<h2>The radius is 4 units long.</h2>

Step-by-step explanation:

The given equation is

(x-0.5)^{2} +(y-3.5)^{2} =16

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

r^{2} = 16\\r=\sqrt{16}\\ r=4

Therefore, the radius is 4 units long.

You might be interested in
The sum of two numbers is 310. The difference between the two numbers is 24. a. Find the smaller number, b. Find the greater num
Julli [10]

Answer:

143 and 167 hope this helps

7 0
3 years ago
Read 2 more answers
Jessica is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x r
uranmaximum [27]

After differentiating, the amount when x=0 yields starting amount,

300 dollars.

What is diffrentiation?

  • A technique for determining a function's derivative is differentiation.
  • A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of variation based on a particular variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.
  • In mathematics, differentiation is used to determine change rates. 

Differentiating the given equation with respect to x,

Given equation,

y= 55x+ 300

\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55 dollars.

The amount when x=0 yields starting amount,

y=55(0)+300=300

Learn more about differentiation here:

brainly.com/question/25081524

#SPJ9

6 0
1 year ago
....................​
denis-greek [22]

Answer:

\boxed{\large\sf y = 3x - 5}

Step-by-step explanation:

Here we are given a equation which is ,

\longrightarrow  y = 3x + 6

We need to find out the equation of the line which is parallel to the given line and passes through the given point .

  • And as we know that the slope of two parallel lines are equal .

On comparing the given equation with slope intercept form (y = mx + c )of the line , we have ,

\longrightarrow m = 3

Therefore the slope of the parallel line will be ,

\longrightarrow m_{||}= 3

Now we can use the <u>point </u><u>slope </u><u>form </u>of the line which is ,

\longrightarrow y - y_1 = m(x - x_1)

Substitute ,

\longrightarrow y - 7 = 3 ( x -4)\\\\\longrightarrow y -7 = 3x -12 \\\\\longrightarrow y  = 3x -12+7\\\\\longrightarrow y = 3x -5

This is the required answer .

3 0
2 years ago
Mariel brought 48 brownies to school for a class party. The class ate 5/6 of the brownies, and Mariel brought the rest home. How
Gekata [30.6K]

Answer:

8

Step-by-step explanation:

To find out how many brownies were eaten, multiply 48*5/6

48 *5/6 = 40

There were 48 brownies originally

48-40 = 8

That means 8 brownies were left to take home

8 0
3 years ago
In the sentence below, which word refers to a mathematical operation?
Maru [420]
The answer is C. Hope this helped!
7 0
3 years ago
Read 2 more answers
Other questions:
  • 92. Calculate the mean of each data set below. Can you find any shortcuts that allow you to find the mean without having to do m
    5·1 answer
  • Ann took a taxi home from the airport. The taxi fare was
    7·1 answer
  • Bryce has to complete 100 minutes of writing every ten days. He writes for 10 minutes each day. What fraction of his writing req
    7·2 answers
  • A shop sells chocolate, vanilla and strawberry ice creams. 45% of the ice creams sold are vanilla, and 1/4 are strawberry. What
    14·1 answer
  • Emily is 61 years old. Colin is 8 years older than Emily. Dan is 16 years younger than Emily. What is the total of their combine
    15·2 answers
  • If 4 is subtracted from twice a number the result is 10 less than the number
    11·1 answer
  • Ariane borrows $200 on a 6−year loan. She is charged 5% simple interest per year. How much interest is she charged for 6 years?
    14·1 answer
  • Please answer see the image
    11·1 answer
  • 5.The data in the line plot show how many pages each student read last night. Which is the best measure of variability?
    12·1 answer
  • Help I will be marking brainliest!!!<br><br> A. 28.8<br> B. 36<br> C. 48<br> D. 38.4
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!