Mathematics High School

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What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
OA 2+2-4x+2y+1=0
OB. ++4x-2y+1=0
OC. 2+2+4x-2y+9=0
OD. -+2x+y+1=0
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Answers

Answer 1
The equation of a circle, with its center (a,b) and radius R is
(x-a)^2 + (y-b)^2 = R^2

For this circle,
(x+2)^2 + (y-1)^2 = R^2

We also know that (-4,1) is a part of the circle, so we replace:
(-4+2)^2 + (1-1)^2 =R^2
4= R^2

The equation of the circle is:
(x+2)^2 + (y-1)^2 = 4
x^2 +4x+4 + y^2 -2x+1 =4
x^2 + 4x + y^2 -2y +1 =0

Related Questions

What are the intercepts of the graphed function?


x-intercept = (0, –1) y-intercept = (0, –3)

x-intercept = (0, –1) y-intercept = (–3, 0)

x-intercept = (–1, 0) y-intercept = (0, –3)

x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!

Answers

Answer:

The first option.

Step-by-step explanation:

10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial

Answers

Answer:

So what is the question? probably to describe the polynomial 10v^2 + 50. okay. the polynomial is a quadratic (it is to the 2nd power) and a binomial (2 terms).

-2x^3+15x^2-22x-15; (x-3) polynomial function

Answers

Answer: Down Below

Step-by-step explanation: Solving for -2x^3 + 15x^2 - 22x - 15(x - 3) = 0

Standard form:

−2x3 + 15x2 − 37x + 45 = 0

Factorization:

−(2x − 9)(x2 − 3x + 5) = 0

Which number makes the equation true?

blank divided by eighteen equals one third

Question 13 options:

32


24


12


6

Answers

Answer:

6

Step-by-step explanation:

x/18 = 1/3

3x = 18

x = 6

1. simplify the following fractions: 12/36

Answers

Answer:

1/3

Step-by-step explanation:

12/36 = 6/18 = 3/9 = 1/3

The answer is 1/3. .

What is the range of the function shown on the graph above

Answers

You did not attach a picture of the graph

-20 2 -6 -18 4 -4 put them from least to greatest

Answers

-20 -18 -6 -4 2 4 this is the answer
[-20, -18 , -6 , -4 , 2 , 4 ]

Erik used 28 centimeters of tape to wrap 7 presents. How much tape will Erik need in all if he has to wrap 12 presents? Solve using unit rates.

Answers

Answer:

Length of tape required to wrap 12 presents is 48 centimeters.

Step-by-step explanation:

Length of tape required to wrap 7 presents = 28 centimeters

Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters

Therefore,

Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present

= 12 × 4

= 48 centimeters

All rational numbers are whole numbers? True or false

Answers

Yes this is very true

(3x3_10x=2x+20)=(x-3)

Answers

Answer:

is that 3 time 3 or it is 3x? do you meant minus by using underscore?

Step-by-step explanation:

(x^2+3x^2-kx-24)÷(x+3) what's the value of k??​

Answers

Answer:

-4

Step-by-step explanation:

since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;

x+3 = 0

x = -3

Substitute x = -3 into the polynomial

x^2+3x^2-kx-24 = 0

(-3)^2+3(-3)^2-(-3)k-24 = 0

9 + 27 + 3k - 24 = 0

36-24 + 3k = 0

12 = -3k

k = -12/3

k = -4

Hence the value of k is -4

the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers​

Answers

The first number is x

The second number is y

So according to the given condition the sum of these two numbers is 84, so we can write

x+y=84 ————-(1)

Again one of them is more than 12 than the other that's why we can write,

x+12=y -------------(2)

Now putting the values of y in equation (1) we get,

x+x+12=84

=>2x+12=84

=>2x+12–12=84–12

=>2x=72

=>2x/2=72/2

=>x=36

Taking the value of x in equation(2) we get,

36+12=y

=>y=48

The two numbers are 48 and 36.

Check:

48+36=84

=>84=84

Also 48 =36+12; which is more than 12 of 36.

Solve. Then, rewrite the complete number sentence in decimal form

Answers

Step-by-step explanation:

a)

6.9+1.1= 8

b)

9.9+2.45=12.35

[tex]12 \frac{35}{100} [/tex]

c)

2.4+8.9=11.3

[tex]11 \frac{3}{10} [/tex]

d)

6.37+7.7=14.07

[tex]14 \frac{7}{100} [/tex]

can someone please help me I only have a few minutes ​

Answers

Answer:

(x + 8)(y - 3)

Step-by-step explanation:

Since you have a few minutes left, I will make this quick.

Focus on one letter within the trapezoid ABCD. Pick a certain letter that can correlate to trapezoid A'B'C'D'.

If we move B to B', we would notice it takes 8 skips,therefore (x + 8). If we do the same for y, we would notice it takes 3 skips down. Therefore (y - 3)

Which of the following indicates that ABC and DEF are similar?

Answers

Answer:

The answer of the question is b

Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, ΔABC ~ ΔDEF.

What are similar triangles?

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.

For the two triangles, we can denote the similarity ΔABC ~ ΔDEF.

Learn more about Similar Triangles:

https://brainly.com/question/25882965

#SPJ5

Please please help asap!!! I will mark brainliest!!!

Answers

Answer:

The other angle is 63 if it is asking what I think it is asking

Step-by-step explanation:

If it is right can you mark brainliest

Answer:

63 or 72

Step-by-step explanation:

What is the y-intercept

Answers

Answer:

-2

Step-by-step explanation:

hope this helps!!!!!!!?

a rectangular garden measures 22.7 m by 16.6 m how many meters of fencing materials are needed to enclose it the fencing materials cost 12.50 per meter​

Answers

Answer:

78.6m of fencing

That would cost $982.50

Step-by-step explanation:

Perimeter: 2(22.7)+2(16.6)=P

P = 78.6

Cost: 78.6*12.50

C = 982.50

State whether the triangles are similiar if so write a similarly statement for brainliest

Answers

Answer:

Step-by-step explanation:

The triangles are not similar.

The Triangles are not similar

Write an algebraic expression for three times the quantity q minus eleven

Answers

3q - 11

So it says 3 times the quantity q so we can represent this as 3q. Next, it says to minus 11, take the 3q and minus 11 from it , like this 3q - 11. Then, you have your answer!

Hope this helps!!
- Kay :)

Determine the equation that this graph represent

Answers

y= 3/2x + 3



and slope = rise/run
Y=3/2+3

I hope that’s right.

A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?

Answers

Answer:

First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.

Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.

Length = 12 feet

Width = 8 feet

Which of the following could be the side lengths of a right triangle?

Question 1 options:

1 in, 2, in, 3 in


2 m, 5 m, 5 m


12 ft, 16 ft, 20 ft


3 in, 4 in, 6 in

Answers

Answer:

its C

Step-by-step explanation:

it cant be b because there would be no longest side

neither d or a because ive done the math for it

I REALLY NEED HELP!!!!

Answers

Answer:

1  2/8 inches

Step-by-step explanation:

smallest = 2/8

largest = 1 4/8

difference = 1 2/8

Please help ❤️❤️❤️❤️❤️❤️❤️

Answers

Answer:

-3/7

Step-by-step explanation:

find two lattice points

the ones I found are (-3, 3) and (4, 0)

use the slope formula

(0-3)/(4-(-3)) = -3/7

What is the equation for a line with a slope of 5 and a y-intercept of 11?

Answers

Answer:

y=5x+11

Step-by-step explanation:

Which of the following statements is NOT a property of parallelograms?
Opposite angles are congruent.
Opposite sides are parallel.
Parallelograms have 4 straight sides.
All sides are parallel.

Answers

Answer:its that all sides are parallell

Step-by-step explanation:

because it has two sets of parrallel sides all of them are not paralell

Answer:

All sides are parallel.

Step-by-step explanation:

shapes can't even be made if all the sides are parallel. The angles need to be added up to 360 degrees. There won't even be angles if all the lines are parallel. The opposite sides have to be parallel.

Does the point (6, 0) satisfy the equation y = x + 6?
yes or no​

Answers

Answer:

No.

Step-by-step explanation:

You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.

No, this point does not lie on the line y = x + 6.

What is the general equation of a Straight line?

The general equation of a straight line is -

y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                 {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                         {Normal form}

We have the equation of line as -

y = x + 6

For point (6, 0), we can write -

0 = 6 + 6

0 ≠ 12

Therefore, no, this point does not lie on the line -

y = x + 6

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Target sells 3 apples $1.50 what is the cost of 20 apples

Answers

Answer:

$10

Step-by-step explanation:

1.50 divided by 3 = 0.50

0.50 x 20 = 10

What is the slope of the line in the graph? HELPPPPPPPP WILL GIVE BRAINLYIST TO CORRECT ANSWER!!!!!

Answers

Answer:

(-1,1),(-2,-1)

Step-by-step explanation:

brainliest please

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