Which of the following is an equation of the circle with a center at (-1,4) and a radius of 2√5 units? plss pahelp naman

A. x²+ y²+2x-8y-3=0

B. x²+y²-2x-8y+3=0

C. x²+y²+2x+8y-3=0

D. x²+y²-2x+8y+3=0​

Answers

Answer 1

Answer:

Option A

Step-by-step explanation:

The standard form of an equation of a circle is represented by the formula [tex](x-h)^2+(y-k)^2 = r^2[/tex]. Remember that [tex](h,k)[/tex] is the center and [tex]r^2[/tex] is the radius squared.

So, the equation of the circle must be [tex](x+1)^2 +(y-4)^2 = 20[/tex]. Complete the square to change the form of the equations listed in the options and find the one that is equal.

Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:

[tex]x^2 + y^2 +2x -8y -3 = 0\\x^2 + y^2 +2x-8y = 3\\x^2 + 2x +y^2-8y = 3\\(x^2 +2x+1)+(y^2-8y +16)=3+1+16\\(x+1)^2 + (y-4)^2=20[/tex]

The end result matches with the equation determined before, so option A is the answer.  


Related Questions

What is the two ratios equivalent to 3 to 4

Answers

Answer: 8 : 6

Step-by-step explanation:

If 3x - 2 = -x + 10, then x =

Answers

Answer:

3x-2 = -x+10

or, 3x+x=10+2

or, 4x=12

or, x=12/4

So, x=3

Answer: 3

Step-by-step explanation:

Step 1: Add x to both sides.

3x−2+x=−x+10+x

4x−2=10

Step 2: Add 2 to both sides.

4x−2+2=10+2

4x=12

Step 3: Divide both sides by 4.

4x

4

=

12

4

What is the fifth number after 2,8,32,128?

Answers

Answer:

512

Step-by-step explanation:

You are multiplying by 4. So you’d do 128 times 4 to get 513!

Hope this helped you!

Answer:

512

Step-by-step explanation:

The sequence is going by fours

2 * 4 = 8

8 * 4 = 32

32 * 4 = 128

128 * 4 = 512

I have 20 min left pls help!!

Answers

Step-by-step explanation:

5: 24

6: 39.3

7: 89.22

8: 691.15

Answer: suck to be you

Step-by-step explanation:

PLZ HELP 100 POINTS PLU BRAINLIEST FOR CORRECT ANSWERS

Answers

Answer:

d. x

Step-by-step explanation:

x(2x-1)/2x-1

x/1 since 2x-1/2x-1 cancels

x

Can someone pls help me with this escape room. This is my last question, I just cant figure out the code. Pls help.

Answers

Answer:The code is simple the answer is googl

Step-by-step explanation:

In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the candy and the mints?

If m = price of mints and c = price of candy, then which of the following expressions is equal to 5.35?

Answers

Answer:

m = 0.75well 1.7 bc 5.35/3=1.7 This is the cost per pound of the mints.

Step-by-step explanation:

From this sentence >> 3 pounds of candy and 2 pounds of mints cost $10.80

you can make-up an equation >> 3c + 2m = 10.80 right?

That's your first equation, 3c + 2m = 10.80 ... (1)

and from this sentence >> 1 pound of candy and 3 pounds of mints cost $5.35

you can make-up an equation >> c + 3m = 5.35 ... (2)

you can use various methods here, like graphing, substitution, comparison, and elimination method.

Let's try using substitution method.

3c + 2m = 10.80 ... (1)

c + 3m = 5.35 ... (2) << here you can come up with c = 5.35 - 3m then substitute it to (1)

3c + 2m = 10.80 ... (1)

3(5.35 - 3m) + 2m = 10.80

16.05 - 9m + 2m = 10.80

-7m = -5.25

m = 0.75 <<This is the price of the mint

to get the price of candy, simply substitute m = 0.75 to (1) or (2) if you want, it depends on you.

Either way, you will have the same answer.

Let's try substituting in (1)

3c + 2m = 10.80 ... (1)

3c + 2(0.75) = 10.80

3c + 1.5 = 10.80

3c = 9.3

c = 3.1 <<this is the price of the candy

was difiqult hope this helps!!!!!

a and b are positive integers and a - b = 2. Evaluate the following:
3b/3а

Answers

Answer and Step-by-step explanation:

a - b = 2

[tex]\frac{3b}{3a}[/tex] = [tex]\frac{b}{a}[/tex]

b = a - 2

a = b + 2

______________

b = b + 2 - 2

b = b

______________

______________

a = a - 2 + 2

a = a

______________

If a equals 0, then the expression is undefined.

If b = 0, then the expression is 0.

There are infinite number of solutions when a is not 0 and the numbers are positive.

#teamtrees #PAW (Plant And Water)

Elizabeth has a lot of jewelry. She has four times as many earrings as watches and twice as many necklaces as watches.
- If Elizabeth has 42 pieces of jewelry, how many necklaces, earrings, and watches does she have?

Answers

Answer:

6 watches, 12 necklaces, and 24 earrings.

Step-by-step explanation:

turn the number of watches into x

42 = 4x + 2x + x

42 = 7x

x = 6

she has 6 watches, 12 necklaces, and 24 earrings

Which statement about correlation and causation is true?
A) Correlation implies causation.
B) Causation implies correlation.
C) No correlation implies causation.
D) No causation implies no correlation.

Answers

Answer:

c.

Step-by-step explanation:

Answer:

No correlation implies causation.

Step-by-step explanation:

I just took the test. The person above me is right! :)

a bag of 40 marbles had 8 white marbles.What is the probabilty of picking a white marble

Answers

Answer: 8 / 48 or 1 / 6 (simplified).

Step-by-step explanation:

There are 48 marbles in the bag.

8 out of the 48 marbles are white, that's why the probability is 8/48 or 1/6.

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

Answers

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

hello please help i’ll give brainliest

Answers

Answer:

Energy from the sun changes liquid water to a gas.

Step-by-step explanation:

Answer:

the 2nd choice

(-5x^6+7x+1)-(8x^2+x-10)

Algebra 1 subtracting polynomials please help

Answers

Answer:

-5x^6-8x^2+6x+11

Step-by-step explanation:

(-5x^6+7x+1)-(8x^2+x-10)

Remove parentheses

-5x^6+7x+1-(8x^2+x-10)

-(8x^2+x-10)=-8x^2-x+10

-5x^6+7x+1-8x^2-x+10

Simplify

-5x^6-8x^2+6x+11

WILL AMRK BRAINLIEST IF GOTTEN RIGHT

Answers

Answer:

4.24 aq. in. I think

Step-by-step explanation:

"hypotenuse" of the triangle: if the height is 24 feet and base is 36 feet.

Answers

Answer:

43.27

Step-by-step explanation:

(24×24)+(36×36)= 1872

√1872=43.27

Using the Pythagorean theorem:

Hypotenuse = sqrt( 24^2 + 36^2)

Hypotenuse = sqrt(576 + 1296)

Hypotenuse = sqrt(1872)

Hypotenuse = 2sqtt(469) or 43.266

Evaluate the following if a = 3,b= -2 and c = 1

a3 - 2bc +5ac

Answers

Answer:

28

Step-by-step explanation:

(3)×3 - 2×(-2)×(1) + 5×(3)×(1)

9 - -4 + 15 = 28

Answer:

46

Step-by-step explanation:

Given

a³ - 2bc + 5ac ← substitute values for a, b, c into the expression

= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)

= 27 - (- 4) + 15

= 27 + 4 + 15

= 46

Plz help me with this question

Answers

Answer:

.24

Step-by-step explanation:

One pack of marbles cost $0.24


can somebody pls help me with this quickly

Answers

Answer:

1)

50% = 0.5

60(0.5) = 30

2)

10% = 0.1

60(0.1) = 6

3)

75% = 0.75

60(0.75) = 45

6 minutes is 10% of 60
45 minutes in 75% of 60 minutes

2°y? – 52ºy23
Select the correct response
Degree = 6
Number of terms = 2
Name = Binomial
Leading Coefficient = 5
21
Degree = 7
Number of terms = 2
Name = Binomial
Leading Coefficient = -5
Degree = 7
Number of terms = 2
Name = Binomial
Leading Coefficient = 5

Answers

Answer:

degree of the polynomial = 7

Number of terms = 2

Name = binomial

leading coefficient = 5

Step-by-step explanation:

The polynomial is x³y² - 5x³yz³

The degree of a polynomial is the highest exponent of any of its variables.

But in this case where we have two variable together, we sum up their exponents and the Hughes one will be the degree of the polynomial.

Thus;

x³y² has a degree of 3 + 2 = 5

5x³yz³ has a degree of 3 + 1 + 3 = 7

Thus,7 is the highest and the degree of the polynomial is 7.

There are two terms which are x³y² and 5x³yz³

Since it has two terms, it is a binomial.

To get the coefficient, I will rearrange in descending order of degree;

-5x³yz³ + x³y²

Thus, leading coefficient = 5

Write an explicit formula for the following sequence 25, 75, 225, ...

Answers

You can say 3x (or multiplying each number by 3)

I need help asap!!!!!!!!!

Answers

Answer:

T,p,s

Step-by-step explanation:

6.04,6.7,6.8

Please help!!!!!I’ll mark you as brainliest!!!!!!

Answers

Answer: B $50,700

Step-by-step explanation:  Subtract expenses from earnings...

65,000-4,900-7,400-2,000=50,700

Use the u it so it can work out of

Identify the absolute value of: |4|
A. - 2
B. - 4
C. 2
D. 4

Answers

D.. Hope this helpsssss

Answer:

D. 4

Step-by-step explanation:

The absolute value of anything is just the positive form... it doesn't mater if it was originally a positive or negative.

which equation has the least steep graph?
A. y= -3/4x-9
B. y=-7x-2
C. y=1/4x+6
D.2x+1

Answers

It would be b it has the steepest graph

Answer:

B. y=-7x+6

Step-by-step explanation:

Sana makatulong :-)

Please help!! Find the missing length indicated.​

Answers

The answer is 56 so none of these answers are correct..... hope this helps!

1. What type of circle would you use when graphing x≥ 5
A. Open
B. Closed
C. A triangle
D. A square

2.Solve the following inequality x−3>7
A. x>10
B. x<10
C. x>4
D. x<4

Answers

1. Open
2. D
Hope this help you

Answer:

What type of circle would you use when graphing x≥5: I do not know sorry :(

When graphing x≥5 on a number line, you would point your arrow which way?

:To the right

Solve the following inequality

x−3>7: x>10

Step-by-step explanation:

I did the math :)

The Cheer Squad is raising money to pay for their trip to the State Finals. They already have $1200 and they are selling really big candy bars for $10 each
If they need at least $3000, how many candy bars do they need to sell? Write an inequality and solve it

Answers

Answer:

10c + 1200 ≥ 3000, c≥ 180

Step-by-step explanation:

We know that they need at least $3000; meaning, it may be $3000 or more. This leaves us with eliminating the bottom two choices.

We then look at the first two choices. If we were to subtract from 1200, we would not know the total income amount that has been gained. It would also eventually give us negative numbers. We cannot have a negative amount earned. Instead, we would use the 10c+1200 because this would allow us to visualize that it needs to be greater than or equal to 3000

For each real number x, f(x) is defined to be the smallest of the values of 2x + 3, 3x - 2 and 25 - x. What is the maximum value of f(x)?

Answers

9514 1404 393

Answer:

  17 2/3

Step-by-step explanation:

A calculator or spreadsheet can figure this. The maximum of f(x) is found where 3x-2 intersects 25-x.

  2x +3 = 25 -x

  3x = 22

  x = 22/3 = 7 1/3

  25 -7 1/3 = 17 2/3 . . . . maximum value of f(x)

_____

Note in the graph that the slope of f(x) decreases at about x=5. The expression with the lower positive slope is 2x+3. So, it is that expression that must equal the expression with the negative slope.

HELP Whatisthedifferencebetweenthe4.1%simpleinterestpaidon$2,750for4yearsandthe3.8% interest compounded annually on the same amount over the same period of time? Show your work.

Answers

Answer: Simple interest amount larger by $9.00

Step-by-step explanation:

Simple interest of 4.1% on $2,750 for 4 years:

Formula for simple interest is:

= Amount * (1 + rate * no. of periods)

= 2,750 * ( 1 + 4.1% * 4)

= 2,750 * 1.164

= $3,201

Compound interest of 3.8% on $2,750 for 4 years:

= Amount * (1 + rate) ^ no. of periods

= 2,750 * ( 1 + 3.8%)⁴

= $‭3,192

Difference:

= 3,201 - 3,192

= $9.00

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