Write the equation of a circle with a center at (-2, 1) and passes through
the point (0, 2). ​

Answers

Answer 1

Answer:

[tex](x+2)^2} +(y-1)^2}=5[/tex]

Step-by-step explanation:

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

r=[tex]\sqrt{5}[/tex]

h=-2

k=1

Plug in

[tex](x+2)^2} +(y-1)^2}=5[/tex]


Related Questions

Please help me with trig I’d really appreciate

Answers

Answer:

2 root 10/ 7, or the second option.

Step-by-step explanation:

If a is 3, then b is root 40. (Pythagorean)

root 40= root 4x10, or 2 root 10

Tangent= opposite/hypotenuse

Tangent= 2 root 10/ 7

TWO MINUTES HELP MY PLEASE

Answers

Answer: C

Step-by-step explanation:

Answer:

The third one. Y= -1/2x^2 -2x -1

Step-by-step explanation:

X=2 in standard form

Answers

Answer:

[tex]A2+By=C[/tex]

Step-by-step explanation:

Well standard form is [tex]Ax+By=C[/tex].

And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].

So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.

So [tex]Ax+By=C[/tex]

x -> 2

So answer is [tex]A2+By=C[/tex]

2A+By=C is the standard form of X=2

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The standard form of a linear equation is Ax+By=C.

A times of x plus B times of y equal to C

A, B, and C are constants,

x and y are variables.

Standard form lets us quickly find the x- and y- intercepts.

By given x value is 2.

Now plug in the value of x in standard form of equation.

2 times of A plus B times of y equal to C

2A+By=C

Hence 2A+By=C is the standard form of X=2

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Match each expression on the left to its simplified version on the right.

Answers

Answer:

In the photo

Step-by-step explanation:

Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.

Answer:

the one above me is right expet for 2 of them purple and orange

Step-by-step explanation:

it was right on edge

Instructions: Find the missing length indicated.

Answers

Answer:

X = 20

Step-by-step explanation:

To get the answer, we can set this up like a ratio.

First, we need to get the missing side of the small triangle. Using [tex]a^{2} +b^{2} = c^{2}[/tex] we get [tex]9^{2} +b^{2} =15^{2}[/tex]

[tex]9^{2} +b^{2} =15^{2}[/tex] square

[tex]81 +b^{2} = 225[/tex] subtract 81 from 225

[tex]b^{2} =144[/tex] square root

[tex]b=12[/tex]

Set up a ratio:

[tex]\frac{9}{15} = \frac{12}{x}[/tex]

[tex]\frac{3}{5} =\frac{12}{x}\\3x=60\\x=20[/tex]

translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?

Answers

The result is number [tex]r[/tex] where:

[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]

Hope this helps.

The second angle of a triangle is double the first angle. The third angle is 40 less than the first angle. Find the three angles.

Answers

Answer:

Angle 1: 55

Angle 2: 110

Angle 3: 15

Step-by-step explanation:

Angle 1: x

Angle 2: 2x

Angle 3: x-40

The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).  

What type of triangle is this.

Answers

Answer:

d

Step-by-step explanation:

only a scalence triangle has all sides with different length

The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 22 7 for π.

Answers

Answer

D: 132 ft

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

The formula for circumference is C = 2 x pi x radius

c = 2 x 22/7 x 21

C = 132

The circumference is 132 feet

Square root of 3,689

Answers

Answer:The answer 60.7371385562.

Step-by-step explanation:

The square root of 3,689 is approximately 60.74.

[tex]\sqrt{3689} = 60.74[/tex] (approx)

If you were to pull colored marbles out of the bag (one at a time, and putting the marble back each time) for 500 tries, approximately how many times would you select a red marble?

Answers

Answer:

We need to know the other marbles in the bag and how many there are of each.

4/5 of a number is 32​

Answers

Answer:

x = 40

Step-by-step explanation:

Step 1: Write out an equation

4/5(x) = 32

Step 2: Solve by dividing both sides by 4/5

x = 32/(4/5)

Use KCF (Keep Change Flip) if you do not have a calc.

x = 40

Answer:

The answer is 40

Step-by-step explanation:

32 times 5 is 160

then: 160 divided by 4 is 40.

check the answer: 4/5 of 40 is 32

because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.

Hope this helps!!!

Ifx=-3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?

Answers

Answer:

D = 0

Step-by-step explanation:

Given

x-intercept = -3

Required

What does the discriminant represent?

The discriminant of a quadratic function can take any 3 values; these are as follows;

When D > 0 When D < 0When D = 0

Which translates to

signifies that two different real roots existsignifies that only complex roots existsignifies that the two identical real roots exist

The question says that x-intercept = -3 is the only value;

This means that: x = -3 or x = -3

Analyzing the roots

3 and -3 are identical-3 and -3 are real

This means they satisfy condition number 3;

Hence, D = 0

Factor this polynomial completely.
15x^2 - 11X - 12

Need help ASAP!!

Answers

Answer:

( 5 x + 3 ) ( 3 x − 4 )

A

Step-by-step explanation:

the answer is A. (5x+3) (3x-4)

Which set of values could be the side lengths of a 30 60 90 triangle

Answers

Step-by-step explanation:

[tex]x \: and \: \frac{1}{2} x \: and \: \frac{ \sqrt{3} }{2} x[/tex]

because

[tex] \sin(30) = \frac{1}{2} \\ \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

Answer: your answer is A

Step-by-step explanation: when you have a 30 6090 triangle your sides will always have a set pattern. Decide across from the 30 angle will be equal to n decide across from the 60 angle Will always be equal to n sqared

Pleas answer this is in two minutes

Answers

Answer:

b

Step-by-step explanation:

not a because equilateral would be all equal

scalene is all different

Answer:

scalene

Step-by-step explanation:

because all  sides are different.

Please answer this question now in two minutes

Answers

Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

The answer is the first option A

simplify 3 x (x + 2) + 2 x ( 1 - x)​

Answers

Answer:

x+8

Step-by-step explanation:

[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]

Hope this helps!

Answer:

x + 8

Step-by-step explanation:

3 × (x + 2) + 2 × (1 - x)

3(x + 2) + 2(1 - x)

Expand the brackets.

3(x) + 3(2) + 2(1) + 2(-x)

Multiply the terms.

3x + 6 + 2 + -2x

Rearrange.

3x + - 2x + 6 + 2

Add like terms.

1x + 8

Calculate the area of this triangle.
16 cm
24 cm
20 cm

Answers

Answer:

Step-by-step explanation:

Area of triangle = 1/2 × b × h

= 1/2 × 24 × 16

= 192 cm^2

Hope this helps

plz mark as brainliest!!!!

Answer:

192 cm²

Step-by-step explanation:

Area of a triangle is equal to base × height × 1/2.

24 × 16 × 1/2

384 × 1/2

= 192

Can any one please do this for me I did not know how to do it can some one please help me

Answers

Answer:

Length ≈ 31cm

Width ≈ 10cm

Step-by-step explanation:

[tex]Let -the-length-be : x\\Let-the-width-be :y\\\\According- to- the- question ; \\x = 3(y)\\x=3y ---------(1)\\2(l+w)=82\\2(x+y)=82\\2x+2y =82 --------(2)\\Substitute- the - given- value- for ; x -in - equation---(1) into -equation (2)\\2(3y)+2y =82\\6y+2y=82\\8y =82\\\frac{8y}{8} =\frac{82}{8} \\y = 10.25\\\\Substitute 10.25 -for ;y -in -eq 1\\x=3y ---------(1)\\x = 3(10.25)\\x = 30.75[/tex]

CHECK

[tex]Length =31\\Width = 10\\P = ?\\P= 2(l+w)\\P = 2(31+10)\\P = 2(41)\\P= 82cm[/tex]

PLS HELP ASAP Given the following probabilities, for what P(B) are events A and B independent? P(A)=23 P(A and B)=13

Answers

I'm assuming you meant to say

P(A) = 2/3

P(A and B) = 1/3

If that is the case, then A and B are independent if and only if the following equation is true

P(A and B) = P(A)*P(B)

So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it

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

P(A and B) = P(A)*P(B)

P(A)*P(B) = P(A and B)

(2/3)*P(B) = 1/3

P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3

P(B) = (1*3)/(3*2)

P(B) = 1/2  is the answer

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

If P(B) = 1/2, then

P(A and B) = P(A)*P(B)

P(A and B) = (2/3)*(1/2)

P(A and B) = (2*1)/(3*2)

P(A and B) = 1/3

Which is the given probability for both events happening. This confirms we have the correct P(B) value.

PLEASE HELP! WILL MARK AS BRAINLIEST!​

Answers

Answer:

Approximate answer: [tex]66.36 \ cm^2[/tex]

Step-by-step explanation:

[tex]DM = 5.66\cdot \cot(65^\circ)[/tex]

Denote the projection of point [tex]B[/tex] onto side [tex]DC[/tex] as [tex]M'[/tex].

[tex]M'C = 5.66\cot(62^\circ)[/tex]

[tex]MM' = AB = 8.9[/tex]

[tex]DC = DM + MM' + M'C[/tex].

Next we should put everything together in area formula for trapizium:

[tex]S = AM\cdot\frac{AB + DC}{2}[/tex]

Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.​

Answers

Answer: Francisco is correct

Step-by-step explanation:

Positive 4 and positive 7

Negative 3 and negative 2

4 * 7 = 28

-3 * -2 = 6

Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sports period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.

Answers

Answer:

Step-by-step explanation:

The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.

Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is

0 ≤ x ≤ 9460

Where x represents number of people.

For the range, the lowest total sales is 0 × 45.5 = $0

The highest total sales is

9460 × 45.5 = $430430

The range is

0 ≤ y ≤ 430430

Where y represents total sales

List the numbers that are in set (A U B)'

Answers

Answer

Step-by-step explanation:

(A U B) means that we should list the numbers that are in both A and B 12/8/10 are for example  in both A and B THE COMPLEMENT is anything that is out ( A U B ) so 1,3 and 5

Work out the temperature after this change. The temperature starts at −2 °C and it falls by 8 °C.

Answers

Answer:

-10 degree celsius

Explaination:

(-2) - 8

= -2 + -8

= -10 degree celsius

Hope this helps and pls mark as brianliest :)

I divided one hole number by another hole number and got 3.125 on my calculator. both my numbers are less than 50 but I'v forgotten what they are. Can you work out what they are?

Answers

Answer:

25 and 8

Step-by-step explanation:

a/b = 3.125

a/b = 3125/1000

make it simple (divide by 25)

a/b = 125/40

ah, can be more simple (divide by 5)

a/b = 25/8

see 25 + 8 is less than 50

Step-by-step explanation:

1.25/8=3.125

50/16=3.125

but it tells that both two numbers are less than 50 then,the numbers are 25 and 8

Solve for g. 3/16 = (-5/4) + g

Answers

Answer:

g = 23/16

Step-by-step explanation:

3/16 = (-5/4) + g

Add 5/4 on both sides.

3/16 + 5/4 = g

Make denominators equal and add.

3/16 + 20/16 = g

23/16 = g

Divide the following polynomials and then complete the quotient. Write your answer in order of decreasing powers of x.

Answers

Answer:

5[tex]x^{4}[/tex] - 8x² + 4

Step-by-step explanation:

Split the numerator, dividing each term by 4x³ , that is

[tex]\frac{20x^{7} }{4x^{3} }[/tex] - [tex]\frac{32x^{5} }{4x^{3} }[/tex] + [tex]\frac{16x^{3} }{4x^{3} }[/tex]

= 5[tex]x^{4}[/tex] - 8x² + 4 ← quotient

y is inversely proportional to x . When y = 25 , x = 4 Work out y when x = 20

Answers

Answer: 125

Step-by-step explanation:

4/25 = 20/Y

Cross multiply to get the equation

4Y = 500

Divide both sides by 4

Y=125

y=5 when x=20.

Given that, y is inversely proportional to x. When y = 25 , x = 4.

We need to find the y value when x=20.

What is inversely proportional?

Inversely proportional variables or quantities are those in which if one variable increases the other will decrease, and if one variable decreases the other increases.

Now, y∝1/x

y=k/x

⇒25=k/4

k=100

Thus, the y value when x=20.

y=100/20=5

Therefore, y=5 when x=20.

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