What is the equation of a circle with center (0, 5) and radius 8

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

Recall that the equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We know the center is (0,5) and the radius is 8. Plug in the numbers:

[tex](x-(0))^2+(y-(5))^2=(8)^2[/tex]

We can remove the parentheses on the left. Therefore, the equation will be:

[tex]x^2+(y-5)^2=64[/tex]

Answer 2

Answer:

( x) ^2 + ( y-5) ^2 = 64

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x-0) ^2 + ( y-5) ^2 = 8^2

( x) ^2 + ( y-5) ^2 = 64


Related Questions

a pair of dice rolled many times and the result appears below. based upon these results,what is the experimental probability of rolling a multiple of 3

Answers

Answer:

There's no results that appear below

Suppose the probability that a randomly selected​ man, aged 55​ - 59, will die of cancer during the course of the year is StartFraction 300 Over 100 comma 000 EndFraction . How would you find the probability that a man in this age category does NOT die of cancer during the course of the​ year?

Answers

Answer:

The probability that a man in this age category does NOT die of cancer during the course of the​ year is 0.997.

Step-by-step explanation:

Suppose the probability of an event occurring is [tex]P_{i}[/tex].

The probability of the given event not taking place is known as the complement of that event.

The probability of the complement of the given event will be,

[tex]1 - P_{i}[/tex]

In this case an events X is defined as a man, aged 55​ - 59, will die of cancer during the course of the year.

The probability of the random variable X is:

[tex]P (X) = \frac{300}{100000}=0.003[/tex]

Then the event of a man in this age category not dying of cancer during the course of the​ year will be complement of event X, denoted by X'.

The probability of the complement of event X will be:

[tex]P(X')=1-P(X)[/tex]

          [tex]=1-0.003\\=0.997[/tex]

Thus, the probability that a man in this age category does NOT die of cancer during the course of the​ year is 0.997.

What is the result of adding these two equations?
62 + 2y = -2
3x - 2y = -5

Answers

Answer:

x = -7/9; y = 4/3.

Step-by-step explanation:

I will assume that the top equation is 6x + 2y = -2, and the bottom one is 3x - 2y = -5.

If you add the two...

(6x + 3x) + (2y + (-2y)) = (-2 + (-5))

9x + 0 = -7

9x = -7

x = -7/9

6(-7/9) + 2y = -2

-42/9 + 2y = -18/9

2y = 24/9

y = 24/18

y = 12/9

y = 4/3

Hope this helps!

Area of a triangle is 1400 cm² the base of the triangle is 5 times the height what is the height of the triangle

Answers

Answer:

≈23.66

Step-by-step explanation:

Height ---> x

base ---> 5x

Formula for area of triangle: (base*height)/2

((5x)(x))/2 = 1400

[tex]5x^{2}[/tex]/2 = 1400

[tex]5x^{2}[/tex] = 1400 · 2 = 2800

[tex]x^2[/tex] = 2800/5 = 560

x= √560 ≈ 23.66

Evaluate the expression. Assume that all the angles are in Quadrant I. (cos (arctan √3/7))

Answers

Answer:

0.971

Step-by-step explanation:

Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.

From the expression given

(cos (arctan √3/7)), we need to get the expression in parenthesis first.

Let y = (cos (arctan √3/7))

If u = arctan √3/7

Then y = cos(u) .... 1

Let's get the value of u first

u = arctan √3/7

u = arctan(0.2474)

u = 13.896°

Substituting u = 13.896° into equation 1, we will have;

y = cos(u)

y = cos13.896°

y = 0.971.

Hence the expression (cos(arctan√3/7)) is equivalent to 0.971

Answer:

y = 0.971.

Step-by-step explanation:

Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.

From the expression given

(cos (arctan √3/7)), we need to get the expression in parenthesis first.

Let y = (cos (arctan √3/7))

If u = arctan √3/7

Then y = cos(u) .... 1

Let's get the value of u first

u = arctan √3/7

u = arctan(0.2474)

u = 13.896°

Substituting u = 13.896° into equation 1, we will have;

y = cos(u)

y = cos13.896°

y = 0.971.

What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters

Answers

The height is 3.


The square centimeters show that the length and width multiplied resulted in the 30. (Centimeter times centimeter = square centimeter.) so you divide the 90 by 30 and the answer is 3.

Area=lw
Volume=lwh

Area given = 30
Volume given = 90

90=30h

H=3

Answer:

60

Step-by-step explanation:

Write the point-slope form of an equation of the line through the points (-1, 4) and (-2, 2)



A. y + 2 = 2(x - 2)
B. y 4 20 + 1)
c. y + 1 = 2(3-4)
D. y 2 233 - 2)

Answers

Answer:

The answer is option B

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find an equation of a line given two points first find the slope / gradient

Slope of the line using points (-1,4) and (-2,2) is

[tex]m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2[/tex]

So the equation of the line using point (-1,4) is

y - 4 = 2( x + 1)

Hope this helps you

Which properties would you use to simplify the following expression? log (17x3)

Answers

Answer:

Step-by-step explanation:

Did you mean log (17*3)?  If so, your log (17x3) becomes log 17 + log 3.

Did you mean  log 17^3?  If so, log 17^3 = 3 log 17.

Did you mean log 17*x*3?  If so, this equals log 17 + log x + log 3

Answer:

C: 1 and 3

Step-by-step explanation:

EDGE2021

Find the ratio of x to y. 2/3 4/9 1

Answers

Answer:

[tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex]

This can be expressed in 2 parts as

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3x = 10 ( divide both sides by 3 )

x = [tex]\frac{10}{3}[/tex]

and

[tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex] ( cross- multiply )

2y = 15 ( divide both sides by 2 )

y = [tex]\frac{15}{2}[/tex]

Thus

[tex]\frac{x}{y}[/tex] = [tex]\frac{\frac{10}{3} }{\frac{15}{2} }[/tex] = [tex]\frac{10}{3}[/tex] × [tex]\frac{2}{15}[/tex] ( cancel 10 and 15 by 5 )

[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{9}[/tex]

Answer:

= 4/9

Step-by-step explanation:

2/3 to the averall of 2/3 ans we got 5/y

sp ab- x/5 = 4/9

Type the correct answer in each box. Use the graph to complete the given statements. Enter the letters A, B, C, or D in the boxes. (graph below) The function with the lowest output values as x approaches infinity is ____ . The function with the greatest output values as x approaches infinity is ____ .

Answers

Answers:

As x approaches infinity,

The function with the lowest output is graph A

The function with the greatest output is graph B

===========================================================

Explanation:

As the graphs head to the right, they go up forever. However, the growth rate (how fast they go upward) varies. The red straight line (line A) goes up the slowest. The growth rate is the same throughout the entire function. The rate is the slope of the line. In contrast, the purple curve B goes up the fastest as it has the steepest increase among the four graphs. The graph steadily gets steeper as you move to the right.

The exponential graph will grow the fastest compared to a linear one or parabolic one. Graphs B and C are exponential, where graph B has a steeper curve compared to graph C.

Answer: The function with the lowest output values as x approaches infinity is Graph A.

The function with the greatest output values as x approaches infinity is Graph B.

Step-by-step explanation: I can’t give you a step-by-step explanation, but this is right!

Find the value.

6x+3 when x=-1/2

PLEASE HELP!!!

Answers

Answer:

0

Step-by-step explanation:

6(-0.5) + 3 = -3 + 3 = 0

Answer:

0

Step-by-step explanation:

x= - 1/2 [given]

Now,

> 6x + 3

>6 × - 1/2 + 3

> -6/2 +3

> -3/1 + 3

> -3 + 3

> 0

Can y’all solve this for me???

Answers

Answer:

1/4PI I GOT IT RIGHT ON KHAN ACADEMY

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

Answer:

[tex]\boxed{\frac{1}{2}\pi}[/tex]

Step-by-step explanation:

Use length of arc formula.

[tex]\frac{\theta }{360} \times2 \pi r[/tex]

The radius is 1 unit.

θ = 90°

[tex]\frac{90}{360} \times 2\pi (1)[/tex]

[tex]\frac{1}{4} \times 2\pi[/tex]

[tex]\frac{1}{2} \times\pi[/tex]

the length of each side of the ABCD EFGH cube is 6cm. If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE, determine the distance of point E to the PQR plane

Answers

Answer:

           The distance is:   [tex]\sqrt3\ cm\approx1,73\,cm[/tex]

Step-by-step explanation:

The distance of point E to the PQR plane it is the hight (vertical) of piramid PRQE

If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE than:

EP = EQ = ER = 0.5EF = 3 cm  and  m∠REQ = m∠QEP = m∠REP = 90° so triangles RQE, QPE and PRE are congruent.

RQ = QP = PR so triangle PQR is equilateral and from Pythagorean theorem (for ΔRQE):

[tex]RQ^2=ER^2+EQ^2=3^2+3^2=2\cdot3^2\ \ \implies\ \ RQ=3\sqrt2[/tex]

Then: [tex]RN=\dfrac{RQ\,\sqrt3}2[/tex]

and:  [tex]RK=\dfrac23RN=\dfrac{RQ\,\sqrt3}3=\dfrac{3\sqrt2\cdot\,\sqrt3}3=\sqrt6[/tex]

Therefore from Pythagorean theorem (for ΔERK):

[tex]EK^2+RK^2=ER^2\\\\EK^2=ER^2-RK^2\\\\EK^2=3^2-(\sqrt6)^2\\\\EK^2=9-6=3\\\\EK=\sqrt3\ cm\approx1,73\,cm[/tex]

En una botella caben 2.75 litros de agua. ¿Aproximadamente cuántos galones caben en la botella?1 espacio l i t r o casi igual a 0.264 espacio g a l o n e s

Answers

Answer:

0.726 galones

Step-by-step explanation:

De la pregunta anterior, se nos dice que

1 botella = 2.75 litros de agua

Se nos pide encontrar cuántos galones puede contener.

En la pregunta, nos dicen

1 litro = 0.264 galones

2.75 litros =

Multiplicación cruzada

2.75 litros × 0.264 galones

= 0.726 galones.

Por lo tanto, 0.726 galones pueden caber en la botella

super easy problem its just graphing!! will mark brainliest <33

Answers

Answer:

[tex]y\ =\ \left|\frac{1}{2}x-2.5\right|+3[/tex]

Step-by-step explanation:

Look at the image below ↓

Answer:

Check below the graph.

Step-by-step explanation:

Hi, for this function, check the graph below:

1) Note that in this function the value outside the brackets points how high the graph will be traced.

2) The value within the brackets, points since it's a negative expression how far to the right the graph will be traced.

Figure A is a scale image of Figure B. What is the value of x?

Answers

Answer:

x = 5.4

Step-by-step explanation:

Multiply 7.2 by 3/4 to find the equivalent ratio.

Answer:

5.4

Step-by-step explanation:

[tex] \frac{7.2}{x} = \frac{4}{3} [/tex]

Apply cross product property

[tex]4x = 7.2 \times 3[/tex]

Multiply the numbers

[tex]4x = 21.6[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{21.6}{4} [/tex]

Calculate

[tex]x = 5.4[/tex]

Hope this helps..

best regards!!

A pair of dice is rolled. What is the probability that the sum is 11? Please show your work!

Answers

Answer:

2/36 or 1/18

Step-by-step explanation:

There are 36 possible outcomes (6x6).

Only 2 possibilities equal 11.  (5+6 and 6+5).

So the probability is 2/36, or 1/18.

Use multiplication to solve the proportion
w/4 = 42/24

Answers

Answer: w=5

Step-by-step explanation:

I need help with this please answer

Answers

Answer:

B. [tex]1\frac{1}{7}[/tex]

Step-by-step explanation:

[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]

[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]

[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7

8/7=[tex]1\frac{1}{7}[/tex]

Hope this helped!!!

Tasha wants to find out if she is going to pass her test. She decides that she will
simulate her test by flipping a coin. This means
a) There is a 50-50 chance she will pass her test.
b) All of the questions are multiple choice.
c) She hasn't studied.
d) There is a 20% chance she will pass.

Answers

Answer:

A

Step-by-step explanation:

Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.

What is the slope of a line perpendicular to one with a slope of {-2}{3}.

Answers

Answer:

3/2

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

m * -2/3  =-1

Multiply by -3/2 to isolate m

m * -2/3 * -3/2 = -1 * -3/2

m = 3/2

The perpendicular line has a slope of 3/2

In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD?

Answers

Answer: AFD = 80

Explanation:

110 + 100 + 3x + 3y = 360
210 + 3x + 3y = 360
3x + 3y = 150
3(x + y) = 150
x + y = 50

Now look at polygon ABCDF (5 sided polygon)

100 + 110 + x + y + Angle F = 540
210 + 50 + angle F = 540
260 + angle F = 540
Angle F = 280

And:
angle F + AFD = 360 degree
280 + AFD = 360
AFD = 80

Is 3/4 = 9/12 greater or less than 1/2

Answers

Answer:

greater than

Step-by-step explanation:

To compare 3/4 to 1/2, let's convert 1/2 so that it has a denominator of 4. This would then be 2/4. Because 3 > 2, 3/4 > 2/4 which means 3/4 > 1/2.

Answer:

Greater

Step-by-step explanation:

It is greater than 1/2 because when you divide the fractions you get- 1/2 = 0.5, 3/4 = 0.75 And this makes it greater.

The cylinder shown has a volume of 150 cubic inches and its height is equal to its radius. The cylinder and the sphere shown have the same radius. What is the volume of the sphere?

Answers

Answer:

V = 200

Step-by-step explanation:

Cylinder

V = pi r^2 h

150 = pi r^2 h

We know that h = r

150 = pi r^2 r

150 = pi r^3

Divide each side by pi

150 /pi = r^3

Take the cube root of each side

( 150 / pi ) ^ 1/3 = r

3.627831679 = r

Rounding to 3.63

Now find the volume of the sphere

V = 4/3 pi  r^3

Replacing r^3 with 150 /pi

V = 4/3 * pi ( 150/pi)

V = 4*150 /3

V = 200

The distance from Parrot Point Airport to the Ivy Cliffs is 291 miles at and angle of 9.1 degrees northeast. There is a wind blowing southeast at 25 miles per hour. You want to make this trip in 3 hours by flying straight there. At what speed* and heading should you fly?

Answers

Answer:

The speed V = 194.03 mph

Direction = 3.6° northeast

Step-by-step explanation:

The distance of the trip = 291 miles

The direction of flight = 9.1 degrees northeast

Speed of the prevailing wind = 25 mph

Direction of wing = southeast = 45 degrees South of East

The speed heading to Ivy Cliffs = V₁

V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45))  × t₁ = 291 miles

V×(sin(9.1) + cos(9.1)) + 25×(sin(45) + -cos(45))  × t₂ = 291 miles

t₁ + t₂ = 3 hours

(V×(sin(9.1)-25×(sin(45))j + (V×cos(9.1) + 25×cos(45))i

The magnitude V² = V²+29.32·V +625= 291²/t₁²......(1)

Also on the return trip we have;

V²-29.32·V +625= 291²/(3-t₁)²..........................................(2)

Subtracting equation (2) from (1) gives;

58.64·V = 291²/t₁² - 291²/(3-t₁)² = 291²×(6·t-9)/(t²·(t-3)²)

V = 291²×(6·t-9)/(t²·(t-3)²)/58.64

Substituting the value of V in (2) with a graphing calculator gives;

t₁= 1.612 or 1.387

Given that magnitude of the speed going > return = V² for  t₁ < t₂

t₁ = 1.387, t₂ = 1.612

From  V²+29.32·V +625= 291²/t₁², we have

V²+29.32·V +625= 291²/1.387²

Which gives

V²+29.32·V -43336.5 = 0

(V + 233.35)(V-194.03) = 0

V = -233.35 mph or V = 194.03 mph

Given that V is a natural number, we have, V = 194.03 mph.

The direction is given by the relation;

V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45))  × t₁ = 291 miles

V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45))  × t₁ = 291 miles

194.03×sin(9.1 degrees)-25×sin(45 degrees)j + 194.03×cos(9.1 degrees) + 25×cos(45 degrees)i = 291/1.387

13j + 209.27i = 208.81 mph

The angle tan θ = 13/209 = 0.00622

θ = tan⁻¹(13/209.27) = 3.6°.

What the answer now fast correct

Answers

Answer:

12.6 units.

Step-by-step explanation:

According to cosine formula:

[tex]a^2=b^2+c^2-2bc\cos A[/tex]

Using cosine formula in triangle STU, we get

[tex](SU)^2=(ST)^2+(TU)^2-2(ST)(TU)\cos T[/tex]

[tex]t^2=(5)^2+(15)^2-2(5)(15)\cos (53^{\circ})[/tex]

[tex]t^2=25+225-150(0.60)[/tex]

[tex]t^2=160[/tex]

Taking square root on both sides.

[tex]t=\sqrt{160}[/tex]

[tex]t\approx 12.6[/tex]

Therefore, the value of t is 12.6 units.

The three angles of an isosceles triangle are, 2x+2, X-12 and x-12. Find the
size of 2x+2​

Answers

Answer: See below

Explanation:

2x+2 + x-12 + x-12 = 180
4x -22 = 180
4x = 202
x = 50.5

Plug x = 50.5 in 2x + 2:

2(50.5) + 2 = 101 + 2 = 103 degree

A student who is 5ft tall and cast a shadow 8ft long.at the Same time a flag shadow is 24ft long.how long is the flag?

Answers

Answer:

The long of the flag is:

15 ft

Step-by-step explanation:

On a three rule:

5 ft is to 8 ft

24 ft is to  A ft

A = 24*5/8

A = 15 ft

related task:  https://brainly.com/question/17139181

If it rains, I do not go sailing. It rains 10 % 10\% 10% of days; I go sailing 3 % 3\% 3% of days. If it does not rain, what is the (conditional) probability that I go sailing? Written "p(I go sailing | it does not rain)''

Answers

Answer:

0.03333 or 1/30

Step-by-step explanation:

Let A =" I go sailing" and B = "it does not rain"

P(A) = 0.03

P(B) =0.90

Since I never go sailing when it rains, P(A and B) =0.03.

Therefore, the (conditional) probability that I go sailing, given that it does not rain is:

[tex]P(A|B)=\frac{P(A\ and\ B)}{P(B)} \\P(A|B)=\frac{0.03}{0.90}=0.033333[/tex]

The probability is 0.03333 or 1/30.

factor x^5y^2+x^2y^5

Answers

Answer:

x^2y^2(x+y)(x^2-xy+y^2)

Step-by-step explanation:

x^5y^2+x^2y^5

Factor out the greatest common factor

x^2y^2( x^3+y^3)

Apply the Sum of Cubes Formula x^3+y^3 =(x+y)(x^2-xy+y^2)

x^2y^2(x+y)(x^2-xy+y^2)

Answer:

The answer is

x²y²( x + y)(x² - xy + y²)

Step-by-step explanation:

[tex] {x}^{5} {y}^{2} + {x}^{2} {y}^{5} [/tex]

To factorize the expression first factor

x²y² out

We have

x²y²( x³ + y³)

Using the expression

a³ + b³ = ( a + b)(a² - ab + b²)

Factorize the terms in the bracket

So we have

x³ + y³ = ( x + y)(x² - xy + y²)

Combine the expressions

We have the final answer as

x²y²( x + y)(x² - xy + y²)

Hope this helps you

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A human skeleton is found to contain one fifth of its original amount of carbon 14. how old is the skeleton A company bought new heating system for $42,000 and was given a trade-in of $2,000 on an old heating system, so the company paid $40,000 cash with the trade-in. The old system had an original cost of $37,000 and accumulated depreciation of $34,000. If the transaction has commercial substance, the company should record the new heating system at: During the ____________step in activity-based costing, overhead costs in each activity cost pool are assigned to products.a. first b. secondc. third d. fourth Please answer ASAP. The question is down below. After successful completion of a recent military mission, information regarding the mission would cause less damage to national security should it be released. However, the information could still cause some damage to national security if released to the general public. How should the OCA responsible for classifying this military information assign classification instructions A change in point of view can lead to a change in perception. Imagine you are a young screenwriter working for a major motion picture company in the writers pool. You have been given the task of developing a new version of the Perseus story. However, the company executives would like to see a movie about Perseus told from another characters point of view. Your assignment is to provide the executives with an outline of this new screenplay. The following should be included in your outline: list of principal characters with a description of their roles in the story description of key plot elements identification of central conflict and solution rationale for re-telling this story from your chosen characters POV. The point (5, -2) is rotated 90 about the origin. Its image is: How does Machiavelli support his claim that rulers canbe cruel if it benefits their subjects and is necessary forsecurity?e nottion.gessoeditsed inmakeO Machiavelli uses anecdotal evidence throughhistorical examples to support his claim.O Machiavelli uses empirical evidence about politicsand society to support his claim.O Machiavelli uses logical evidence through historicalexamples to support his claim.Machiavelli uses empirical and logical evidence tosupport his claim.ded tothish his What is the inclination of a line through the points(5,14) and (9,18) In the news, you hear tuition is expected to increase by 7% next year. If tuition this year was $1200 per quarter, what will it be next year? An oxide has a chemical formula with the form X2O3. Which group is element X more likely to be a member of? Select the correct answer below: group 12 group 13 group 14 group 2 How many brothers and sisters did Shakespeare have? The tri-star company currently use an old lathe that was purchase 2 years ago at $6000. This machine is being depreciatin on a MACRS five year (20%, 32%, 19%, 12%, 11%, 6%). The current market value for this machine is $3,000. The proposed new improved lathe cost $10,000 and additional installation fee of $1,000. The new lathe would require that inventories be increased by $800 and account receivable increase $600, but accounts payable would simultaneously increase by $700. Tri-Star's marginal federal-plus-state tax rate is 30%. What is the initial investment of company when evaluating the replacement of old lathe by the new one?