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Provided that you have to choose 1 of each and since all these choices are independent from each other, multiply them together:

    answer  =  11 x 4 x 9 x 4 x 2 x 7

Do you have to choose one of each? If not, we will get a different answer.

The graphing form is:   y - k  =  a(x - h)²   where the vertex is (h, k)  =  (2, 4).

--->   y - 4  =  a(x - 2)²  

To find a, substitute the values of (1, 1) into the above form:

--->   y - 4  =  a(x - 2)²   --->    1 - 4  =  a(1 - 2)²   --->   -3  =  a(-1)²   --->   -3  =  a

So, the equation is:  y - 4  =  -3(x - 2)² 

To get this into the desired form:  y - 4  =  -3(x² - 4x + 4)   --->   y - 4  =  -3x² + 12x - 12

--->   y²  =  -3x² + 12x - 8

r  =  6·sin(theta)  is a circle with radius 3 and center at (0,3).

\(5x^2+21x+v\) \(=0\)

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

\(x = {-21 \pm \sqrt{21^2-20v} \over 10}\)

\( {-21 \pm \sqrt{21^2-20v} \over 10}= {-21 \pm \sqrt{301} \over 10}\)

\(\sqrt{21^2-20v}=\sqrt{301}\)

\(21^2-20v=301\)

\(301-21^2=-20v\)

\(v=\frac{-140}{-20}=7\)

at the end of the sentence there is supposed to be a 6. So it is "An ordinary 6-sided die has a number on each face from 1 to 6 (each number appears on one face). How many ways can I paint two faces of a die blue, so that the product of the numbers on the painted faces isn't equal to 6?

thank you!

hmm okay, yes i was confused. based upon your explaination you are correct we would not need to include them. thank you!

Using Pythag theorom

x = height      16-x = top of tree= hypotenuse

x^2   + 8^2 = (16-x)^2

x^2 + 64 = x^2 -32x+256

64 = -32x+256

x = 6 Meters

Area of rectangle   11 x12

      minus area of circle   pi 2^2     cm²

Here is the answer written from this site (I didn't login tho)

Answer:

The area of the triangle is 22.7 units²

Step-by-step explanation:

We can use trigonometry to find the area of an triangle if we have the length of two sides and the measure of the included angle between them, using the rule A =  (a)(b)(sin C), where

a , b are two sides in the triangle
C is the angle between the sides a and b
In Δ XYZ

∵ XZ = 11 units

∵ YZ = 8 units

∵ The angle between XZ and YZ is ∠Z

∵ m∠Z = 31°

- We can use the formula of the area above

∴ A =   (11)(8)(sin 31)

∴ A = 44 sin 31

∴ A = 22.6616753

- Round it the the nearest tenth

∴ A = 22.7 units²

The area of the triangle is 22.7 units²

You can use Heron's formula:  Area  =  sqrt( s · (s - a) · (s - b) · (s - c) )

where a, b, and c are the sides

and s is the semiperimeter = (a + b + c) / 2.

s = (5 + 7 + 8) / 2  =  10

Area  =  sqrt( 10 · (10 - 5) · (10 - 7) · (10 - 8) )

And you can finish ...

B=Brothers,  S=Sisters

S - 1 =B,   B - 1=1/2S, solve for B, S

B = 3 Brothers  and  S = 4 Sisters

3 + 4 = 7 Brothers and Sisters

Two circles, each of radius 5, lie in perpendicular planes. They intersect in two points, X and  thus determining a common chord XY. If XY=8 compute the distance between the centers of the circles.

The probability is 7/20.

1.25 x   =  40       solve for 'x' the number of dogs

Составить параметрические уравнения медианы, проведенной из вершины А в треугольнике АВС, если заданы координаты его вершин А(1;4;-1), В(-2;-2;5) и С(3;1;-2)

\( 9 + \frac{27}{x} + \frac{8}{x^2} = 0\)

answer: -1/3, -8/3

Multiply both sides by x^2

and you will get \(9 x ^2 + 27 x + 8 = 0\)

which is equal to (3x+1)(3x+8)=0

set 3x+1 = 0 and solve for x.

you will get -1/3

set 3x+8=0 and solve for x

you will get -8/3

10

20 21

30 31 32     we can see a pattern here

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = ..........

The linear velocity of each of the gears is the same because they are connected by the chain (ANGULAR velocity for each is different though)

r = 3          36 revs/20 sec x   60 sec/min = 108 rev/min       

  3 cm   * 108 rev/min   x 2 pi /rev = 2035.75  cm/min

Circumference of a circle = pi * diameter        or    pi * 2 * radius

How are linear velocity and angular velocity related?

4. linear velocity

_________ is the change in distance over time, where the distance is the circumference of a circle. It can be represented by __2. v=s/t____ or v=rθ/t .

Angular velocity is the change in _____10. distance over time__ , where distance is the change in the angle measure.

Angular velocity is represented as ____1. w=θ/t___ .

This means that _______ .6. linear velocity is the product of the radius and angular velocity

2z + 3y² = nz

3y² =  z (n-2)

z = 3y² / (n-2)

1 - Using 1 revolution =2*pi radians
2 - 8.4 radians/sec / 2*pi radians =1.3369 revolutions/sec.
3 - 1.4 minutes x 60 seconds =84 seconds
4 - 1.3369 rev/sec x 84 seconds =112.3 revolutions in 1.4 minutes.

I agree with your answer of  5pi/3  but I think that the other answer should be  4pi/3.

(Drawing these in a unit circle both being the same distance below the x-axis.)

"Divide both sides by 0"   ??? 

I don't know calculus but I'm pretty sure even as advanced math as that doesn't allow division by zero.  Of course, I might be wrong.  I'm wrong a lot. 

_.