explain how you got the answer

Explain How You Got The Answer

Answers

Answer 1

Answer:

[tex]\huge\boxed{Center = (3,3),Radius = 2\sqrt{15} }[/tex]

Step-by-step explanation:

Given equation is

[tex]x^2 + y^2 -6x-6y -42 = 0[/tex]

Adding 42 to both sides

[tex]x^2 + y^2 -6x-6y = 42\\[/tex]

Completing squares

[tex]x^2 -6x+y^2 -6x = 42\\(x)^2 - 2(x)(3) +y^2 - 2(y)(3) = 42[/tex]

Adding (3)² => 9 and (3)² => 9 to both sides

[tex](x-3)^2+(y-3)^2 = 42+9+9\\(x-3)^2 + (y-3)^2 = 60\\(x-3)^2 (y-3)^2 = (2{\sqrt{15})^2}[/tex]

Comparing it with [tex](x-h)^2+(y-k)^2 = r^2[/tex] where Center = (h,k) and Radius = r

We get:

Center = (3,3)

Radius = [tex]2\sqrt{15}[/tex]


Related Questions

Solve: log (2x + 1) = log (x - 1).​

Answers

Answer:

no solution

Step-by-step explanation:

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

2 x + 1 = x − 1

Solve for  

x .

x = − 2

Exclude the solutions that do not make  

log ( 2x + 1 ) = log

( x − 1 )  true.

No solution

what is α3 = -343 answer

Answers

Answer:

a3= -343

divade both side by 3 to make a the subject

a3/3= -343/3

a = -114.3

Solve for m.
5m + 3m - 8 = 64
a m = 9
b m = 2
c m = -2
d m = 5

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 9}}}}}[/tex]

Option A is the correct option

Step-by-step explanation:

[tex] \sf{5m + 3m - 8 = 64}[/tex]

Collect like terms

⇒[tex] \sf{8m - 8 = 64}[/tex]

Move 8 to right hand side and change it's sign

⇒[tex] \sf{8m = 64 + 8}[/tex]

Add the numbers

⇒[tex] \sf{8m = 72}[/tex]

Divide both sides of the equation by 8

⇒[tex] \sf{ \frac{8m}{8} = \frac{72}{8} }[/tex]

Calculate

⇒[tex] \sf{m = 9}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{m=9}[/tex]

Step-by-step explanation:

[tex]5m + 3m - 8 = 64[/tex]

Combining like terms.

[tex]8m - 8 = 64[/tex]

Adding 8 to both sides.

[tex]8m=72[/tex]

Dividing both sides by 8.

[tex]m=9[/tex]

PLEASE HELP! Simplify radical square root -48

Answers

Answer:

B

Step-by-step explanation:

4×4×3=48

4 comes out.

a - never comes out of radical and stays in the radical with 3.

the simplest way I could explain

Answer: OPTION 3

Step-by-step explanation:

First of all, you need to know the concept of imaginary number or i.

i (imaginary number)=√-1

-----------------------------------------------

√-48=√16 × √3 × √-1 ⇔ This splitting is just help you to understand better.

√16=4 ⇔ This is a perfect square

√3=√3 ⇔ Nothing to change

√-1=i ⇔ imaginary number as mentioned before.

√-48=√16 × √3 × √-1

√-48=4 × √3 × i

√-48=4i√3

Which number line can you use to simplify 2 + (–8)?

Answers

Answer:

D

Step-by-step explanation:

The question has 2 + (-8), and in the timeline, your starting point has to be in positive 2. As for the -8, the negative goes to the left, and therefore your answer is D, as that is the only timeline that follows the instructions of the question,

Answer:

[tex]\Huge \boxed{\mathrm{D}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2 + ( -8 )

2 is on the number line.

When -8 is added to 2, the value decreases, and it moves 8 units to the left side.

The result is -6.

[tex]\rule[225]{225}{2}[/tex]

In the data set below, what is the variance?
6 7 2 1 8 29

Answers

In the data set below, what is the variance?

6 7 2 1 8 29

s^ 2  ≈  105.368

Jenna has $500 in her account and withdraws $50 every Sunday to pay for her account after n lessons,

Answers

Answer:

What do you want for the answer?

This?

500-50n

Step-by-step explanation:

Round 521,742 to the nearest thousand.

Answers

Answer:

the answer to the promblem is 521,000

Answer:

522,000

Step-by-step  

If the number is 5 you let it go up if its below you let it go down.

write the expression without using exponents (-2y)^4

Answers

Answer:

16yyyy

Step-by-step explanation:

Getting rid of exponents:

(-2y)^4 = (-2)^4*y^4 =16yyyy

Step-by-step explanation:

(-2y)^4

= (-2) ^4 ( y) ^4

= (16) (yyyy)

= 16yyyy

Write an equation in slope-intercept form for the line described. Slope 4, passes through (6,9)

Answers

Answer:

y= 4x -15

Step-by-step explanation:

Please see attached picture for full solution.

This the actual full picture of the question.

Answers

Answer:

Center: (4, -6)

Radius: 2

Step-by-step explanation:

Circle Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r = radius

Step 1: Write out equation

(x - 4)² + (y + 6)³ = 4

Step 2: Identify variables

h = 4

k = -6

r² = 4

Step 3: Find answers

Center = (4, -6)

√r² = √4

r = 2

What are the angle measures?

Answers

Answer:

m1 - 120

m2 - 60

m3 - 60

m4 - 60

m5 - 30

A triangle is 180 degrees. An equilateral triange's angles are all the same.

Two brown and 8 red birds are flying. What is the probability that two brown sit together?

Answers

1/5? I believe! I am assuming because there are 2 brown and 8 red, so there’s a total of 10 birds. Then you take 2/10, reduce that, giving you 1/5

The probability that two brown sit together is 0.2.

What is the meaning of arrangements?

the act of putting things in order

Here, it is given that ;

there are Two brown and 8 red birds.

Total number of ways 10 distinct birds can sit = 10!

Now,

When out of total arrangement the number of ways in which two brown birds and 8 red birds can sit is :

¹⁰C₂ = 10!/ (2! x 8!)

¹⁰C₂ = 45 ways

Now, consider two brown birds as one bird then the number of arrangement will be :

⁹C₁ = 9!/1! = 9

The probability that two brown sit together will be :

9/45 = 0.2

Therefore, the probability that two brown sit together is 0.2.

Read more about probability at:

https://brainly.com/question/8217340

#SPJ2

35,012,129 ____ 35,011,129 greater than less than PLEASE HELP
ANSWER FREE COINS JUST SAY =

Answers

Answer:

35,012,129 > 35,011,129

Answer:

>

Step-by-step explanation:

everything is the same but the 12 and 11

ABCD. If AB=5x and CD=3x + 10, find CD
A. 25
B. 2
C. 5
D. 20

Answers

Answer:

c

Step-by-step explanation:

Answer:

A.25

Step-by-step explanation:

Please help me out with this

Answers

Answer:

-5^11

Step-by-step explanation:

[tex]\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5+6}\\\\=\left(-5\right)^{11}\\\\=-5^{11}[/tex]

NEED THIS QUESTION PLEASE AND THE WORK SHOWN PLEASE what does the runner up in a miss universe contest win

Answers

Answer:

You need a protractor to measure each angle otherwise you can't really assume each angle because it won't be accurate

A truck leaves Pensacola heading east at 50 mph. One hour later, a second
truck leaves Pensacola heading east at 65 mph. How long will it take the
second truck to overtake the first truck?

Answers

Answer:

The answer is 10/3.

Step-by-step explanation:

Think of position. After one hour just as the fast truck starts, the slow truck is at a position 50 miles. Let's see where they aree at time t hours after the fast truck begins his trip: Slow Truck: 50 miles + (50 miles/hour)×t Fast Truck: (65 miles per hour)×t .

What is t when their positions are the same?

50 + 50t = 65t

50 = 65t - 50t

50 = 15t

50/15 = t

10/3 = t

t = 10/3.

Simplify -k-(3k-6n)+2n when k=-3 and n=-5

Answers

Steps to solve:

-k - (3k - 6n) + 2n; k = -3, n = -5

~Substitute and simplify

-(-3) - (3(-3) - 6(-5)) + 2(-5)

3 - (-9 + 30)) - 10

~Use PEMDAS and solve the rest.

3 - 21 - 10

-18 - 10

-28

Best of Luck!

Answer:

the answer is -22

Step-by-step explanation:

-k -(3k - 6n) + 2n  

when k = -3  &  n = -5

substitute the values of k and n

-(-3) -[3(-5) - 6(-5)] + 2(-5)

3 - [-15 - (-30)] + (-10 )

3 - ( -15 + 30 ) - 10

3 - 15 - 10

-12 - 10

-22

hope this helps  (^▽^)

A sugar cookie recipe that makes 4 dozen cookies calls for 2 cups of white sugar. How much white sugar would you need to make 3 dozen cookies?

Answers

Answer:

1.5 cups of sugar

Step-by-step explanation:

4/2=2

2 dozens of cookie uses 1 cup of sugar.

3/2=1.5

3dozens  of cookie needs 1.5 cup of sugar.

Pls help me with this!!!

Answers

Answer:

30.39in^2 (^2 means squared)

Step-by-step explanation:

3 x 3 = 9in^2

3.1 x 6.9 =21.39in^2

9 + 21.39 = 30.39in^2

This histogram shows the percentage of the population that smokes tobacco for 123 countries. Which one of the following values is the most reasonable estimate for the IQR?

Answers

Answer:

9.5

Step-by-step explanation:

The formula for interquartile range = Third Quartile - 1st Quartile

= Q3 - Q1

Looking at the histogram given, the class width = 6

Step 1

We find the number of values = n

n = 1 + 12 + 26 + 27 + 31 + 19 + 6 + 1

= 123

Frequency Cumulative Frequency

1 1

12 13

26 39

27 66

31 97

19 116

6 122

1 123

Step 2

We find Q1 ( First Quartile)

Q1 =1/4 (n + 1) value

Q1 = 1/4(124) value

= 31st value

The first Quartile = 31st value

31 - 13 = 18

31st value = 12 + (18/26 × class width)

= 12 +( 18/26 × 6)

First Quartile = 16.153846154

Third Quartile =Q3 =3/4 (n + 1) value

Q1 = 3/4(124) value

= 93rd value

The first Quartile = 93rd value

93 - 66 = 27

93rd value = 1 + (27/97 × class width)

=24 +( 27/97 × 6)

Third Quartile= 25.670103093

Interquartile range = Q3 - Q1

= 25.670103093 - 16.153846154

= 9.5162569392

Approximately = 9.5

Inter Quartile range = 9.5

A sector of a circle of radius has an area of . Find the central angle of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, But I would show how to solve the problem

The area of a sector of a circle with radius r and a subtended central angle  θ in degree has an area of:

Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where θ is in degrees.

If the central angle is in radian, then the area of the sector is given as:

[tex]Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2[/tex]

Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.

Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3

Therefore:

[tex]Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\[/tex]

The hypotenuse of a right triangle is 15cm long. One of the triangle’s legs is two times the length of the other leg. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth. 1

Answers

Step-by-step explanation:

Given that,

The hypotenuse of a right triangle is 15 cm

Let x is the length of the other leg. So, the length of the first leg is 2x.

Using Pythagoras theorem for the right angle triangle such that,

hypotenuse² = base²+height²

Let base is x and height is 2x

So,

[tex]15^2=x^2+(2x)^2\\\\225=x^2+4x^2\\\\225=5x^2\\\\x^2=45\\\\x=3\sqrt{5} \ cm[/tex]

Hence,

Base = [tex]3\sqrt{5} \ cm[/tex]

Height = [tex]2\times 3\sqrt{5} \ cm=6\sqrt5\ cm[/tex]

Hyoptenuse = 15 cm (given)

In the diagram shown, what is the ratio of shaded parts to unshaded parts?
1 shaded to 5 unshaded
5 shaded to 1 unshaded
6 shaded to 5 unshaded
1 shaded to 6 unshaded

Answers

Answer: a

Step-by-step explanation:

What is the real part of the following complex number?
-3+ 2iV2

Answers

Answer:

Option (3)

Step-by-step explanation:

If a complex number is in the form of (a + ib), real part of the complex number is 'a' and imaginary part is 'b'.

Given complex number is (-3 + 2i )

Comparing this number with (a + ib), real part of the number will be (-3) and imaginary part of the number will be 2.

Option (3) will be the answer.

write the equation of a line in any form that is parallel 2y = 4x + 8 through the point of (1,3) plz and thank you

Answers

Answer:

y = 2x+1

Step-by-step explanation:

[tex]2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1[/tex]

Step-by-step explanation:

Hey, there!!

Here, the given point is (1,3).

Now, Using one point formula we need to find the equation of the line passing through point (1,3).

Now,

[tex](y - y1) = m1(x - x1)[/tex]

Keeping values,

[tex](y - 3) = m1(x - 1)[/tex]

It is the 1st equation.

Similary, you have another equation,

2y = 4x + 8..............2nd equation.

or, 4x - 2y +8 =0

M2 from equation 2,

[tex] = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex] = \frac{ - 4}{ - 2} [/tex]

Therefore, m2 = 2

Now,

As per the condition of parallel lines,

m1 = m2 = 2

Now, substituting the value of m1 in equation 1st.

(y-3) = 2 (x-1)

y-3 = 2x - 2

or, 2x-y+1 = 0 ......is the required equation.

Hope it helps...

Find an equation of the line passing through the point (−6,−5) that is parallel to the line y=4/3x−5

Answers

Answer:

y = [tex]\frac{4}{3}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{4}{3}[/tex] x - 5 ← is in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 6, - 5) into the partial equation

- 5 = - 8 + c ⇒ c = - 5 + 8 = 3

y = [tex]\frac{4}{3}[/tex] x + 3 ← equation of parallel line

if 5 persons can do the work in 28 days find the number of persons required to do the same in 7 days​

Answers

the answer is 35 people

b

r

a

i

N

L

Y

B

Y

P

A

S

S

Nearly two out of ten American women end their childbearing years without having borne a child. What percent of American women end their childbearing years without having borne a child?​

Answers

Answer:

20%

Step-by-step explanation:

Turn 2 out of 10 into a percentage.

[tex]\frac{2}{10}[/tex] × [tex]\frac{10}{10}[/tex] = [tex]\frac{20}{100}[/tex] → 20%

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