what is the equation for a circle as follows: center (2, -4) & radius 5?​

Answers

Answer 1

Answer:

[tex](x-2)^2+(y+4)^2=25[/tex]

Step-by-step explanation:

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius of the circle.

The given circle has:

x-coordinate of center: 2

y-coordinate of center: -4

radius: 5

Meaning h = 2, k = -4, r = 5

Substitute into the general eqn.

[tex](x-2)^2+(y+4)^2=5^2=25[/tex]


Related Questions

help please

my teacher is putting in grade TODAY so i really need help

Answers

Answer: 130 ft^2

Step-by-step explanation:

Area= 2(wl+hl+hw)

Area= 2(5•10+1•10+1•5)

Area= 2(50+10+5)

Area= 2(65)

Area= 130

Answer:

The surface area is 130 square feet.

Step-by-step explanation:

A = 2(wl + hl + hw)

2 · (5 · 10 + 1 · 10 + 1 · 5)

130

Your homeowner’s policy has a premium of $150, a deductible of $5000, and a limit of $300,000. Your home suffers $500,000 in damages. How much will you pay?

Answers

The amount that the person get after he home suffers $500,000 in damages is $20000.

What is deductible amount?

Deductible amount is the amount which is paid by one in the starting of any policy.

The homeowner’s policy has a premium of $150. Thus, the amount paid in a year is,

[tex]150\times12=1800[/tex]

The home suffers $500,000 in damages and the deductible is of $5000. Thus, the amount remain is,

[tex]A=500000-5000\\A=495000[/tex]

The limit of the policy is $300000. Thus, the amount will be remained as,

[tex]A=495000-300000\\A=195000[/tex]

If we include the deductible amount, then,

[tex]A=195000+5000\\A=200000[/tex]

This amount does not include the premium paid by the homeowner. Hence the amount that the person get after he home suffers $500,000 in damages is $20000.

Learn more about the deductible amount here;

https://brainly.com/question/5306277

the spinner shown below has 12 congruent sections. the spinner spun 150 times. what is a reasonable prediction for the number of items the spinner will land on an even number. (pls help asap!!)

Answers

Answer:45

Step-by-step explanation:

There are 3 even numbers out of A total of 8 numbers.

Each spin would have a 3/8 chance of landing in an even number.

Multiply the chance of landing on even by number of spins:

120 x 3/8 = 360/8 = 45

The answer would be 45 times.

Enter a number in each box to create an expression equivalent to -3 (-2 + 5)

Answers

Answer:

3*-3+0*5

Step-by-step explanation:

Formula for finding perimeter of a triangle

Answers

Answer:

you can find perimeter of a triangle by finding it perimete by a scale D

Answer:

( AB+BC+CA)= parameter of a triangle

I need your help urgently the instructions are find a rule which connects the two quantities in each of the following table​

Answers

Answer:

i dont understand

Step-by-step explanation:

1 i

2 d

3 k

Grahg x= 5. Plz il do anything

Answers

Answer:

Y=5 and x=0

XENICAL AND THE REST

Answer:

ta-da!

the red line is x=5

the blue line is y=5

What is the equation of this parallel line?

Answers

Answer:

y = 5x - 6

Step-by-step explanation:

y - 9 = 5 ( x - 3 )

y = 5x - 15 + 9

y = 5x - 6

3. Jayne, Carlos, June, and Pedro each measured their dogs' weights, but each used a different measurement. Place the four dogs in order from lightest to heaviest.
Jayne's Dog 42 lbs
Carlos' Dog 624 oz
June's Dog 41 lbs,
7 oz Pedro's Dog
665 oz






Answers

Answer:

Carlos, June, Pedro, Jayne

least to greatwst

somebody help me please in the photo

Answers

Answer:

93 degrees

Step-by-step explanation:

alternate interior angles are congruent so 39+x=132 x=93

Answer:

Step-by-step explanation:

According to Alternate Interior Angles Theorem (in a graph that shows a transversal crossing two parallel lines, the alternate interior angles are congruent), The angle that includes the sum of 39° and x° is congruent to 132°.

So: 39° + x° = 132°, and x = 93

evaluate the expression (4×5)2-6+3​

Answers

I got 37 on my calculator

Answer:

40x - 3

Step-by-step explanation:

4x(5)(2)−6+3

=40x+−6+3

=40x+−6+3

=(40x)+(−6+3)

=40x+−3

f(x) = (2x + 5)(x+3)(3x – 10) (2x - 8) has zeros at x = -3, x =-5/2, x=10/3
and x = 4.
What is the sign of f on the interval
-5/2 Choose 1 answer:
A) f is always positive on the interval
B) F is always negative on the interval
C) f is sometimes positive and sometimes negative on the interval.

Answers

Answer:f is sometimes positive and sometimes negative on the interval

Step-by-step explanation:

How high is the end of the ladder against the building?

Answers

Answer:

D.

Step-by-step explanation:

its a right triangle, so we can use the pythagorean theorem to find h

(pythagorean theorem is a^2+b^2=c^2, c is the hypotenuse)

h^2+4^2=13^2

h^2+16=169

h^2=153

h=sqrt153

h≈ 12.4ft

If Lisa were to plant six apple trees and only four of them were successful, she would have minus two apple trees. How many apple trees would Lisa have if she added fourteen more to the lasting apple trees?

Answers

Answer:

18

Step-by-step explanation:

Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).

Answers

Answer: 19 years

Step-by-step explanation:

Given

Amount invested [tex]\$400[/tex]

Rate of interest [tex]R=6\%[/tex]

after 1-year amount becomes

[tex]A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424[/tex]

After n years it is

[tex]A=400\left (1.06\right)^n[/tex]

Sum accumulated is [tex]\$1200[/tex]

[tex]\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}[/tex]

consider the series 1/4+1/16+1/64+1/256

Answers

The answer is 84/256 here my work

The expression that defines Sn is option (A), Sn = lim n->∞ (1/4)^n is the correct answer.

What is a series?

A sequence is defined as an arrangement of numbers in a particular order.  A series is the cumulative sum of a given sequence of terms. Typically, these terms are real or complex numbers.

For the given situation,

The series is 1/4 + 1/16 + 1/64 + 1/256.

⇒ [tex]\frac{1}{4}+\frac{1}{16} +\frac{1}{64} +\frac{1}{256}[/tex]

⇒ [tex]\frac{1}{4}+\frac{1}{4^{2} } +\frac{1}{4^{3} } +\frac{1}{4^{4} }[/tex]

Thus the sum of this series can be obtained by the expression,

[tex]S_{n}= \lim_{n \to \infty} (\frac{1}{4^{n}})[/tex]

⇒ [tex]S_{n}= \lim_{n \to \infty} (\frac{1}{4})^{n}[/tex]

Hence we can conclude that the expression that defines Sn is option (A), Sn = lim n->∞ (1/4)^n is the correct answer.

Learn more about series here

https://brainly.com/question/4617980

#SPJ2

x+1/2(x-4)=1/2x+6(x-2)
how many solutions does the equation have?
A. 0
B. 1
C. 2
D. 4
PLEASE HURRY

Answers

Answer:

B) 1

Step-by-step explanation:

x+1/2(x-4)=1/2x+6(x-2)

x+1/2x-4/2=1/2x+6x-12

x+1/2x-1/2x-2=6x-12

x-2=6x-12

x-6x-2=-12

-5x-2=-12

-5x=-12+2

-5x=-10

5x=10

x=10/5

x=2

NO LINKS!! PART 2a. Find the measure of the arc or angle indicated.​

Answers

9514 1404 393

Answer:

  2) 198°

  4) 99°

  6) 90°

Step-by-step explanation:

The relevant relations are ...

an inscribed angle is half the measure of the arc it interceptsthe total of arcs around a circle is 360°

__

2) Arc WXY = 2×angle WDY = 2(99°) = 198°

__

4) Arc CLE is 2×angle CDE = 2(97°) = 194°

  Arc DE = 360° -72° -194° = 94°

  angle C = (arc DE +arc EL)/2 = (94° +104°)/2 = 99°

__

6) angle C = (360° -arc EC -arc CD)/2 = (360° -71° -109°)/2 = 90°

Answer:

2.

Given:

m arc WXY=2×99°=198°[central angle is equal to the twice of its inscribed angle]

4.Arc CLE =2x< CDE = 2×97° = 194°[central angle is equal to the twice of its inscribed angle]

again

Arc DE =360° -72° -194° = 94°[from complete turn]

and

angle C =½ (arc DE +arc EL) =½ (94° +104°) = 99°

6) angle C =½ (360° -arc EC -arc CD)

=½ (360° -71° -109°)= 90°

You randomly choose one of the pens shown. What is the theoretical probability of choosing a black pen?

A drawing shows 2 blue pens, 2 black pens, and 1 red pen.

The theoretical probability is_____
PLS HURRY!

Answers

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

The probability of event A happening is denoted by P(A). The probability of event A happening is given by the formula below:

[tex]\boxed{P(A) = \frac{number \: of \: favourable \: outcomes \: in \: A}{total \: possible \: outcomes}} [/tex]

Since there are 2 black pens, and only one pen is chosen, the number of favourable outcomes in choosing a black pen is 2.

The total possible outcomes is the total number of pens in this case.

P(black pen)

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

[tex] = \frac{2}{5} [/tex]

This is the theoretical probability as it is not determined from experimental results.

50 POINTS
What is the correct reason for statement 2?

Answers

the correct reason for statement two would be angle addition postulate.
hope this helps you :)

Which equation has the same solution as x2 - 6x - 14 = 0?
А
(x + 3)2 = 23
B
(x - 3)2 = 23
С
(x + 3)2 = 5
D
(x - 3)2 = 5

Answers

Answer:

i think it is option c

Step-by-step explanation:

the answer is c i think

In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?

Answers

Answer:

[tex]\cos(W) = \frac{9}{41}[/tex]

Step-by-step explanation:

Given

[tex]\angle Y = 90^o[/tex]

[tex]YX = 40; XW = 41; WY = 9[/tex]

Required

Determine [tex]\cos(W)[/tex]

The question is illustrated with the attached image.

So:

[tex]\cos(W) = \frac{Adajacent}{Hypotenuse}[/tex]

[tex]\cos(W) = \frac{WY}{XW}[/tex]

This gives:

[tex]\cos(W) = \frac{9}{41}[/tex]

Hello can someone help me with these four questions!!!
Please no fake answers, I need these to pass my class. <3 :) Ty! Math

Answers

Answer:

1) A = 27 square units, P = 24 units; 2) 276 mm; 3) A = 8, B = 4, C = 3, D = 5, 108 square feet; 4) 5.

Step-by-step explanation:

1) The sides of the rectangle are 9, 9, 3, and 3.

2) 40 + 40 + 70 + 70 + 28 + 28

3) 32 + 6 + 6 + 24 + 40 = 108

4) 24 + 24 + 20 + 20 + 30 + 30 = 148

740/148 = 5

The net below represents a container. What solid figure does it show.

Answers

Answer:

Looks like a cuboid

Hope it helps :)

Have a great day!

Question :-

The net below represents a container. What solid figure does it show?

____________________

Solution :-

We can see that the given net has 12 edges, 6 faces and 8 vertices if we compile it up. These number of edges, faces and vertices are found in a cuboid or a rectangular prism. With this we can conclude that if we compile the given net, it will form a cuboid or a rectangular prism. So, the given net is of a cuboid or a rectangular prism.

____________________

Final Answer :-

The given net is of a cuboid or a rectangular prism.

____________________

f(x)= square root of x-5. find f-1 (x) and it’s domain

Answers

Answer:

Option B.

Step-by-step explanation:

Inverse function:

Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.

The domain of the inverse function(x values) is the range of the original function(y values).

Original function:

[tex]f(x) = \sqrt{x} - 5[/tex]

Domain is [tex][0,\infty)[/tex], and when [tex]x = 0, f(x) = -5[/tex]. So the range is [tex][-5,\infty][/tex], that is, [tex]y \geq -5[/tex]

Inverse function:

[tex]y = \sqrt{x} - 5[/tex]

Exchanging x and y

[tex]x = \sqrt{y} - 5[/tex]

[tex]\sqrt{y} = x + 5[/tex]

[tex](\sqrt{y})^2 = (x+5)^2[/tex]

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

The inverse function is [tex]f^{-1}(x) = (x+5)^2[/tex]

Domain:

Range of the original function is [tex]y \geq -5[/tex], so the domain of the inverse function is [tex]x \geq -5[/tex]. The correct answer is given by option B.

Answer:

B. f ^ -1 (x) = (x + 5) ^ 2;

x > -5

Step-by-step explanation:

Ap e x

Pls help me ASAP no scamming:-)

Answers

Hi this was a different question from normal but okay.

Answer:

There has been an high speed chase that lead to an injury of a young girl. Isaac midway had fled the seen at North West 22nd, around 2:56 pm. With the girl laying in the street with a broken leg and fractured ankle. Have any evidence call crime stoppers.

Step-by-step explanation:

This provides criminal, time and location and injury. Good luck.

One Night, The Criminal Mastermind, Arnold "Laughing" Jack Escapes From The Facility In New Orleans, And Proceeds To Murder 70 People, The Most Famous Spot Was His Murder Hotel Where He Mutilated 5 People In The Kitchen. The Injuries On The Bodies Were Similar To What Forensics Is The Equivalent Of, How Being Struck With A Curved Sword Would Be.

describe and correct the error in solving the equations below​

Answers

9514 1404 393

Answer:

  19. wrong multiplier was used, and used incorrectly; x = -324

  20. wrong multiplier was used, and used incorrectly; y = 5

Step-by-step explanation:

In each case, the equation was multiplied by the coefficient of the variable, instead of divided. In each case, the square of the coefficient was evaluated incorrectly (so the error wasn't noticed).

__

19) As described above.

  (-36)(9) = (x/9)(9)

  -324 = x

__

20) In addition to the errors described above, the variable was changed from y to x.

  15/3 = (3y)/3

  5 = y

Can someone help me out with my grades are bad

Answers

You already know the bottom one is 138 so that means the top 1 is too.
Click the left one and that’ll be the same as the right if I’m correct. Then you should have them all. Hope that helps!

2x is subtracted from the square of a number

Answers

Answer:

let the number be x

-2x=0

here it is your quadratic equation

What is the volume of the rectangular prism?

Answers

the answer would be 22.5
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