The point (2,9) lies on a circle and the center of the circle is at the point (2,1). What is the equation of this circle? A. (x - 2)2 - (y - 1)2 = 64 B. (x - 2)2 + (y - 1)2 = 64 C. (x + 2)2 + (y + 1)2 = 64 D. (x - 1)2 - (y - 2)2 = 8

Answer:

16.5

Step-by-step explanation:

[tex](33/4)/(1/2)[/tex]=[tex]33/4*2[/tex]=66/4=33/2=16.5

Answer:

16 1/2 or 33/2

Step-by-step explanation:

i divided 33/4 by 1/2 which gave me 66/4 so i simplify it and it gave me 33/2 or 16 1/2

Answer:

Base is 5/6

Step-by-step explanation:

We calculate the area of a triangle by multiplying height to the base and that divided by two

Let's call the base X

5/36 cm^2 = 1/3 × X ÷ 2 multiply both sides of the equation by 2

2 × 5/36 = 1/3 × X ÷ 2 × 2

5/18 = X/3 now divide both sides by 3

5/18 ÷ 3 = X/3 ÷ 3

X = 5/6

Answer:

see below

Step-by-step explanation:

bag: 3 red + 2 black = 5 total

Box: 4 green + 1 yellow = 5 total

P(red) = number of red/ total in bag = 3/5

P(green) = number of green / total in box = 4/5

P( red, green) = P(red) * P(green) = 3/5*4/5 = 12/25

Answer:

[tex]y = - 15 \\ x = - 94[/tex]

Step-by-step explanation:

it's not both of dem

The solution to the system of equations is x= −133/ 40 and y= −21/ 20

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.

6x+ y= -21 is equation (1)

2x - 13y= 7 is equation (2)

Solve 6x+y=−21 for y:

6x+y=−21

6x+y+−6x=−21+−6x

y=−6x−21

Substitute −6x−21 for y in 2x−13y=7:

2x−13y=7

2x−13(−6x−21)=7

80x+273=7

Now Simplify both sides of the equation;

80x+273+−273=7+−273

Add -273 to both sides

80x=−266

x= −133/ 40

y=−6x−21

y=−6( −133 /40 )−21

y= −21/ 20

Hence x= −133/ 40 and y= −21/ 20

learn more about system of equations here;

brainly.com/question/25180086

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Answer:

16 cm

Bob is correct

Step-by-step explanation:

Perimeter of a square = 4 × side’s length

Then

the side length = 64/4 = 16

Answer:

perimeter of square =4l

64/4cm=l

l=16cm

therefore

bob is correct.

Answer:

C) The initial value is 32, and the rate of change is 1.

Step-by-step explanation:

This is the correct answer for edge

Answer:

27

Step-by-step explanation:

#3 is 1/3^3, and #4 is 1/x. The x is obviously 3^3 simplified, which is 27.

I see that you are in high school. Im in 7th grade and i can do this lol.

Answer:

456976000

Step-by-step explanation:

There are 26 letters and 10 digits

4 letter then 3 numbers

26*26*26*26*10*10*10

456976000

Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

Where [tex]b[/tex] is the y-intercept.

[tex]y=3x+5[/tex]

[tex]b=5[/tex]

Answer:

-3 is the slope

5 is the intercept

Answer:

[tex]\dfrac{2s^3+136}{s}[/tex]

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = [tex]34$ ft^3[/tex]

Volume of the box =[tex]s^2h[/tex]

Then:

[tex]s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}[/tex]

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box[tex]= 2(s^2+sh+sh)[/tex]

[tex]S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}[/tex]

Answer:

J = 0.5k + 5

Step-by-step explanation:

Answer:

C. The answer is correct

Step-by-step Explanation:

One of the rules that applies when simplifying radical expressions, is that, only like radicals can be added together or subtracted from each other. In other words, the radicand, which is the number inside the "√" must be the same for two or more radicals to be added together or subtracted from each other.

In the expression given in the question, step 1 and step 2 are correct, as well as the final answer.

The final answer is correct because only like radicals can be added as 3√19 and 8√38 are unlike radicals. Their radicands, √19 and √38, are not the same, hence, the radicals do not need to be added.

The answer "3√19 + 8√38" is correct.

Answer:

The maximum height the ball will reach is 29,141 feet.

The time when it reached its maximum height is 1.094 seconds.

2,443 seconds after throwing the ball, it will touch the ground.

Step-by-step explanation:

The function h (t) = - 16t² + 35t + 10 is a quadratic function of the form f (x) = ax² + bx + c, where a = -16, b = 35 and c = 10. To calculate the maximum height, you must then find the maximum of the function. In other words, Quadratic functions have a maximum (if a <0) or a minimum (if a> 0). This point is the vertex of the parabola.

The vertex coordinate on the x axis can be calculated by:

[tex]x=\frac{-b}{2*a}[/tex]

The value of the vertex on the y axis is obtained by substituting the value of "x vertex" in the function f (x), that is, by calculating f ([tex]\frac{-b}{2*a}[/tex]).

In this case, where h ([tex]\frac{-b}{2*a}[/tex]) is the maximum height:

[tex]t=\frac{-b}{2*a}=\frac{-35}{2*(-16)} =1.09375[/tex]≅ 1.094 seconds

So: h(1.094)= -16*1.094² + 35*1.094 + 10

h(1.094)=29.151

The maximum height the ball will reach is 29,141 feet.

The time when it reached its maximum height is 1.094 seconds.

To calculate the number of seconds after the ball is thrown it will hit the ground, you must calculate the roots of the quadratic function. For this you must apply:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]  

where x1, x2 are the two roots of the function f(x)=a*x² +b*x + c

In this case:

[tex]t1,t2=\frac{-35+-\sqrt{35^{2}-4*(-16)*10 } }{2*(-16)}[/tex]

Solving, you get t1=-0.256 and t2=2.443

Since the time cannot be negative, 2,443 seconds after throwing the ball, it will touch the ground.

Answer:

4x + 15

Step-by-step explanation:

A = 14x + 5[6 - (2x + 3)]

  = 14x + 5[6 - 2x - 3]

  = 14x + 30 - 10x - 15

  = (14x - 10x ) + (30 - 15)

  = 4x + 15

Hope this helps!

Answer:

[tex]7x+21[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]x+3[/tex]

[tex]7(x+3)[/tex]

Expand the brackets.

[tex]7x+21[/tex]

Answer: x < 2

Explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3

to both sides of the inequality to get x < 2.

Before we graph, write your answer in set notation.

We can write this as {x: x < 2}.

It's important to understand what this means.

This means that any number less than 2 is a solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on +2.

We use an open dot because +2 is not included as a solution.

Then draw an arrow going to the left.

Answer:

your answers are already  matched up

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Logic: if 3+4 =7 then 4+3 also = 7 or 3*4 =12 then 4*3 is also 12 etc.

Answer:

∠AEX = 70°

Step-by-step explanation:

From the diagram

AX ≅ BX

BY ≅ CY

AZ ≅ CZ

∠XAE = 20°

A circumcenter has equal distant from vertices of the triangle since radii of circles are congruent.

For the given figure, the midpoints is at Z, X, Y

And the perpendiculars also occur at Z, X, Y

∠Z = 90°

∠X = 90°

∠Y = 90°

∠XAE ∠AXE +∠AEX= 180° (sum of angles in a triangle)

∠AXE = ∠X = 90°

20° + 90° +∠AEX= 180°

110° +∠AEX= 180°

∠AEX = 180°-110°

∠AEX = 70°

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

A = [2 - 3(2 - 3) - 1] - 1

The operations inside parenthesis are performed first. We have:

A = [2 - 3*(-1) - 1] - 1

The multiplication is performed next. We have:

A = [2 - (-3) - 1] - 1

Now, the operation could be performed freely in any order. (because only subtraction is remaining). We have:

A = 2 - (-3) - 1 - 1

   = 2 + 3 - 1 - 1

   = 5 - 2

   = 3

Hope this helps!

Answer:

Surface area of sphere = 4πr²

r = radius

and radius = diameter/2

radius = 13/2

= 6.5cm

Surface area = 4 × π × 6.5

= 26 × π

= 81.68

= 81.7cm²

Hope this helps.

Answer:

so the answer is f, the last one

Answer:

4

Step-by-step explanation:

g(3) = -2(3)^2 -4 = 2(9) -4 = 18-4 = 14

|f(2)| = | 2^2 -3| = | 4-3| = 1

(g(3) +2) = (14+2) = 16

4*  |f(2)|  = 4*1 = 4

16/4 = 4

Answer:

The inverse is 1/4x

Step-by-step explanation:

f(x) = 4x

y = 4x

Exchange x and y

x = 4y

Solve for y

Divide each side by 4

1/4x = 4y/4

1/4x = y

The inverse is 1/4x

Answer:

y=(1/4)*x

Step-by-step explanation:

to inverse set f(x)=4x

as y=4x

next, change places y and x

4y=x

now, solve for y

4y=x

y=(1/4)*x

Answer:

21/100

Step-by-step explanation:

there are 100 total people and 21 who have a dog but do not take walks. You can leave it like that because it cannot be simplified more.

Answer: optiond solve the values to get the answer

Best of luck for the test

Answer:

27

Step-by-step explanation:

given value of Z=9

so, 3×9=27

Answer:

+15 degrees

Step-by-step explanation:

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

11

12

Answer:

x=11/36

Step-by-step explanation:

1. Move the 4/9 to the right side to isolate valu e"x."

2. Create a common denominator between "4/9" and "3/4"

3. Your equation should look like this;

x=3/4-4/9

x=27/36-16/36

x=11/36

Answer:

11/36

Step-by-step explanation:

all work is in the image below!