The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?

Answers

Answer 1

Answer:

2√3

Step-by-step explanation:

The standard equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the center of the circle

r is the radius of the circle

Given the equation (x - 7)^2 + (y + 13)^2 = 12

On comparing;

r² = 12

Take the square root of both sides

√r² = √12

r = √12

r = √4*3

r = 2√3

Hence the radius of the circle is 2√3

Answer 2

Answer: 2 sqrt 3

Step-by-step explanation:


Related Questions

2c=8 and after you have to do subtraction to check​

Answers

Answer:

Whats the question?

Step-by-step explanation:

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x.
A. -9/2
B. 2/9
C. -2/9
D. 9/2

Answers

Answer:

A. -⁹/2

Step-by-step explanation:

Using any two pairs of values form the table, say (-12, 60) and (-6, 33),

Rate of change = ∆y/∆x

= (33 - 60) / (-6 -(-12))

= -27/6

= -9/2

Rate of change = -⁹/2

The rate of change of y with respect to x is -9/2

Option A is correct

For a linear relationship, the rate of change of y with respect to x is given by the formula:

[tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]

From the table:

[tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex]

Substitute [tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex] into the equation [tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]

[tex]\frac{\triangle y}{\triangle x} =\frac{60-96}{-12-(-20)} \\\\\frac{\triangle y}{\triangle x} =\frac{-36}{8}[/tex]

Reduce the expression to the lowest term by dividing the numerator and denominator by 4

[tex]\frac{\triangle y}{\triangle x} =\frac{-9}{2}[/tex]

The rate of change of y with respect to x is -9/2

Learn more on rate of change here: https://brainly.com/question/8728504

What is (-2) ÷ 9

A. - 2/9

B. 18

C. -18

D. 2/9

QUICK PLS PLS IM RUNNING OUT OF TIME

Answers

Answer:

A. -2/9

Step-by-step explanation:

the actual answer is -0.22222222222, but it is not listed so the next best answer is A

Answer:

The answer is -0.22222222222

Step-by-step explanation:

Im sorry but there is no other answer :(

Ivan used 3 rolls of blue fabric to make costumes for the annual school play. He used a total length of 12.6 yards of fabric. If each roll had the same length of fabric, how much fabric was in each roll? Write your answer in inches.
Use the table of conversion facts as necessary, and do not round your answer.

Answers

Answer:

Step-by-step explanation:

151.2

a rectangular park has an area of 2/3 square mile. The length of the park is 2 2/3 the width of the park. What is the width of the park?​

Answers

Answer: Area of the rectangular park = 2/3 square mile

Let us assume the width of the rectangular park = x

Then

The length of the rectangular park = 2 2/3 * x mile

= 8x/3 mile

Then

Area of the rectangular park = Length * Width

2/3 = (8x/3) * x

2/3 = 8x^2/3

(2 * 3)/3 = 8x^2

2 = 8x^2

x^2 = 2/8

x^2 = 1/4

x^2 = (1/2)^2

x = 1/2

So the width of the park is 1/2 feet.

hope this helps have a nice day❤️

Step-by-step explanation:

Whoever can answer this will get brainlyest

Answers

Answer:

The proportion is [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex], and the length of the unknown side is [tex]\frac{245}{9}[/tex] or 27.22 approximately rounded to the nearest hundredth.

Step-by-step explanation:

Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is [tex]\frac{35}{108}[/tex]. MK and KF are corresponding sides, and their proportion is [tex]\frac{x}{84}[/tex] in which x represents the missing side. The proportions are equal, so [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex]. Multiply both sides by 84 to isolate the variable, and you'll get [tex]x = \frac{35*84}{108}[/tex], which is [tex]\frac{2940}{108}[/tex] or [tex]\frac{245}{9}[/tex].

need help with degree of polynomial

Answers

Answer:

The degree of a polynomial is the highest exponential power of a term

So the answer is 5

Since 4x^5 has the highest power

Hope it helps

For algebraic expression 2x4

– 5x3 + 4x. + 7, find (5)

a) Degree of polynomial

b) Number of terms

c) Constant term

d) Coefficient of x

e) Numerical coefficient of -5x3

.

Answers

Answer:

See explanations below

Step-by-step explanation:

Given the algebraic expression 2x4– 5x3 + 4x. + 7,

a) The degree is the highest power of x in the equation, from the equation we can see that the highest power of x is 4. HEnce the degree of the equation is 4

b) The terms we have are 2x^4, -5x^3, 4x and 7. In counting, we can see that we only have 4 terms in the equation hence the number of terms is 4

c) The constant term si the term without the variable x. From the equation the only term without variable x is 7. Hence the constant term is 7

d) The number attached t x is known as its coefficient. The number besides x is 4 frim the equation. Hence the coefficient of x is 4.

e) The numerical coefficient of -5x^3 is -5 since the constant value attached to x^3 is -5

X-6 less than or equal to 3

Answers

Answer:

X-6 is less than 3

Step-by-step explanation:

=X-6_3

= 6 >3

Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is
based on the number of students in her class.
t = the number of treats
S = the number of students
Which of the variables is INDEPENDENT

Answers

Answer:

its the student

Step-by-step explanation:

mark me brainliset plz

is 63 the soloution to p/9 = 7

Answers

Answer:

yes it is

Step-by-step explanation:

Yes the solution to p/9 = 7 is 63.

Can you guys help me and answer this math question below please I really need help I'll mark brainliest to whoever answers

Answers

Answer:

answer is "U"

Step-by-step explanation:

Answer:

U

Step-by-step explanation:

x,y.

go to your left five then up five

On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?
350d ___ 1,400
(> or < or less than/more than equal to)

Answers

answer: 350d ≥ 1,400 hope this helps :) brainliest would be appreciated

Answer:

They can have brainliest  now!!!!

Step-by-step explanation:

SOLVE THE TRIANGLE BELOW FOR ALL THE
MISSING PARTS AND FIND THE AREA OF THE
TRIANGLE
b = 7, c = 10, A = 51°

Answers

Answer:

The missing part of the triangle should be 7

Step-by-step explanation:

Hope this Helped

The probability that the cause of a malfunction is due to a faulty car battery is 0.317 (31.7%). Consider the claim that using petroleum jelly to clean terminals decreases the likelihood of developing a faulty car battery, so that the probability is <0.317 (31.7%). The null and alternative hypotheses are shown. 0:1:=0.317<0.317 At a significance level of =0.05 , if the proportion of people who use petroleum jelly to clean terminals and develop a faulty car battery is 31.2% or less, the power to reject the null hypothesis is 0.06. Determine the probability of making a type I and type II error for this hypothesis test. ADAC Breakdown Statistics 2013 - How reliable are our cars?, 2013. Car-Addicts.com. http://www.car-addicts.com/consumer-reports/car-service/most-reliable-cars-breakdown-statistics-2013 (accessed Dec 15, 2015). = =

Answers

Answer:

woah

Step-by-step explanation:

I need help on this question please

Answers

What question I don’t see no question

Answer:

dont mind me im just getting my points back

Step-by-step explanation:

An article describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4. Find the mean and standard deviation of the sample mean SiO2 content in a random sample of 10 rocks. Round the mean to two decimal places. Mean Standard deviation

Answers

Answer:

The mean is 40.35 and the standard deviation is 0.13.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.

Sample of 10:

By the Central Limit Theorem, the mean is 40.35, and the standard deviation is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{10}} = 0.13[/tex]

The mean is 40.35 and the standard deviation is 0.13.

Which of the following statements is false?
a- log9(0)=0 because 9^0=0
b- log3(9)=2 because 3^2=9
c-log5(5)=1 because 5^1=5
d- log4(0) does not exist because 4^=0 for any x

Answers

Answer:

A

Step-by-step explanation:

Same reason as d

That's the answer.

Maplewood Supply received a $5,270 invoice dated 4/15/10. The $5,270 included $270 freight. Terms were 3/10, 2/30, n/60.
a. If Maplewood pays the invoice on April 27, what will it pay?
b. If Maplewood pays the invoice on May 21, what will it pay?

Answers

Answer:

The invoice gets paid after 12 days, so mapplewood will get a 3% discount (3/30, 3% off if paid within 30 days). I assume that Freight doesn't get a discount,  so I subtract it from the invoice value:

$5250-$250 (freight)=$5000

Discounted invoice becomes:

$5000-3%*5000(discount)=$4850

Add the freight back to the new invoice:

$4850+$250=$5,100 if paid on April 27

B) the invoice gets paid after 36 days, so the invoice gets paid in full ( n/60; in other words, invoice paid in full if paid within 60 days, therefore $5,250)

Step-by-step explanation:

A ____________________ is a measurement of the change in variables over a specific period of time.
Group of answer choices

an ordered pair

graph

table

rate of change

Answers

Answer:

rate of change

Step-by-step explanation:

The rate of change (ROC) is the speed at which a variable changes over a specific period of time.

Write the slope-intercept equation of the line that passes through the given point and is parallel to the given line.
(−3, 8), x = −3y + 9

Answers

Answer:

y= -3yx + 9x - 37

Step-by-step explanation:

Find the Equation Using Slope-Intercept Form

Answer:

y= - (1/3) x + 9

Step-by-step explanation:

y = m x +b  === m is slope, b is y-intercept

Solve given equation for y to find parallel slope -- y = - (1/3) x + 3

so parallel slope is - (1/3)

substitute point  & slope into equation to find b

8 = - (1/3) (3) + b

b = 9

Each of the following phrases describes a numerical value.

the absolute value of 9
the opposite of 9
Which of the following statements is TRUE about the relationship between the numerical values?

A.
The absolute value of 9 is farther from 0 on a number line than the opposite of 9.

B.
The opposite of 9 is equal to the absolute value of 9.

C.
The opposite of 9 is the same distance from 0 on a number line as the absolute value of 9.

D.
The absolute value of 9 is less than the opposite of 9.

Answers

Answer:

C. is the correct answer just that the only difference between then is the negative or minus sign

There are 5,000 books in the​ town's library. Of​ these,4,400 are fiction. To find the percent of the books that are​ fiction, first set up the percent equation. Then find the percent. Setup the percent equation. Choose the correct answer below. A. m B. m C. m Your answer is not correct.D. m This is the correct answer. nothing​% of the books are fiction

Answers

Answer:

4,400=m•5,000 and 88%

Work out

A.
32-5x7

B.
3x 8-93

C.
4 x (1 + 5 – 8)

Answers

Answer:

what is the question. Please write exponents as follows: 5x^7.

An equilateral triangle has a height of 6 centimeters. What is the exact length of one of the sides of the triangle?

4 cm

O 23 cm

O 2 cm

O 473 cm

Answers

Answer:

The length of each side of the equilateral triangle is 6.93 cm.

Step-by-step explanation:

Check the image uploaded for diagram;

The length of each side of the equilateral triangle is y;

Apply Pythagoras theorem to determine y;

[tex]y^2 = 6^2 \ + \ (\frac{y}{2} )^2\\\\y^2 = 36 \ + \ \frac{y^2}{4} \\\\multiply\ through \ by \ 4;\\\\4y^2 =144 \ + \ y^2\\\\4y^2 - y^2 = 144\\\\3y^2 = 144\\\\y^2 = \frac{144}{3} \\\\y^2 = 48\\\\y = \sqrt{48} \\\\y = 6.93\ cm[/tex]

Therefore, the length of each side of the equilateral triangle is 6.93 cm.

A equilateral triangle is the triangle in which all the three sides are of equal length in measure.

The side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.

What is equilateral triangle?

A equilateral triangle is the triangle in which all the three sides are of equal length in measure.

The relation between the height and the side of the equilateral triangle can be given as,

[tex]a=\dfrac{2h}{\sqrt{3} }[/tex]

Given information-

An equilateral triangle has a height of 6 centimetres.

The side of the equilateral triangle which has a height of 6 centimetres can be calculate using the above formula. Thus,

[tex]a=\dfrac{2\times6}{\sqrt{3} }\\a=\dfrac{12}{3} \\a=4[/tex]

Thus the side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.

Learn more about the equilateral triangle here;

https://brainly.com/question/1099318

8.009 is greater or 8.09 is greater ​

Answers

Answer:

8.09

Step-by-step explanation:

Answer:

8.09

Step-by-step explanation:

8.09

HELP ME QUICKLY AND PLS EXPLAIN HOW YOU GOT YOUR ANSWER! ILL EVEN GIVE BRAINLIEST<3
Laura wants to cut the board into equal pieces so that each piece is 5/8 foot long. How many pieces will she have? (The board is 12ft)

Answers

Answer:

Step-by-step explanation:

This is a straight forward division problem.

12/(5/8).

The rule for division of fractions is: invert the denominator and multiply.

For this problem: 12/(5/8) = 12 * 8/5 = 96/5.

Mariah worked for 3 hours and earned a total of $28.50. Which equation can be used to find r, the amount of money Mariah earns per hour?

Answers

Answer:

she earns about 9 dollars and 50 cents an hour

Step-by-step explanation:

Answer:

r=28.5 divided by 3

Step-by-step explanation:

What are the next three terms in the sequence 4,8,12,16?

Answers

Answer:

20,24,28

Step-by-step explanation:

It is increasing by 4 each time

Mark me brainliest please :)

Answer:

20, 24, 28

Step-by-step explanation:

yeah

si yo tengo 2 Manzanas y muerdo una cuantas manzanas me quedan​

Answers

Answer:

te quedan una manzana porque muerdises una manzana

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