Algebra

Sin(2x) + Sin(x) = 0

2Sin(x)Cos(x) + Sin(x) = 0

Factor 'Sin*(x)'

Sin(x) (2Cos(x) + 1 = 0

Hence

Sin(x) = 0

x = 0 , 180(pi) , 360(2pi) et.seq.,

&

2Cos(x) = -1

Cos(x) = -1/2 = -0.5

x = 120, 150, 480, et.seq.,

Sin(3pi/2) = Sin(2pi - pi/2)

Double angle Trig. Identity.

Hence

Sin(2pi)Cos(pi/2) - Cos(2pi) Sin(pi/2)

Sin(2pi) = 0

Cos(pi/2) = 0

Cos(2pi) = 1

Sin(pi/2) = 1

Substituting

0 x 0 - 1 x 1 =

0 - 1 = -1 The answer!!!!!

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yes it is possible for a system of two linear inequalities to have a single point as a solution.

4 quarters = 1 dollar. A quarter is a bit like, but not exactly equivalent to, 25p and ditto for a pound.

y + 1 = 0

y = -1

So it would be a straight line, parallel with the x-axis at y = -1.

A Straight line !!!!

6x + 2y = 8

Algebriacally rearrange

2y = -6x + 8

y = -3x + 4

It is now in the straight line form of y = mx + c ,

The gradient'slope is '-3' and the y-intercept is '+4'.

x^(2) + y^(2) = 36 = 6^(2)

The graph is a circle of radius '6' , centred on the origin (0,0).

long would it take to go 6600 miles by train?

what is the answer 0of 0.9 X 6

CosX = Sin2x

Using Trog. Identityt

CosX = 2SinXCosX

CosX cancels down to '1'

Hence

CosX/CosX = 2 SinX

1 = 2SinX

SinX = 1/2 = 0.5

SinX = 0.5

X = Sin^(-1) 0,5

X = 30 degrees = pi/6 radians

Cos (x) = -Sin(x)

1 = -Sin(x) / Cos (x)

1 = -Tan(x)

Tan(x) = -1

x = Tan^-1(-1(

x = -45 degrees = - pi /4 , 3pi/4, 5pi/4 ....

sin(-pi) = sin(-180) = 0 So the answer is 0

Oh, isn't pi just a delightful number? Let's paint a picture with its first 35 digits: 3.1415926535897932384626433832795028. Just like adding happy little trees to a landscape, each digit of pi adds to the beauty and mystery of mathematics. Keep exploring and discovering, my friend.

Without knowing the plus or minus value of 40 it's difficult to say but in general:-

If the discriminant of a quadratic equation = 0 then it touches the x axis at 1 point

If the discriminant is greater than zero then it touches the x axis at 2 points

If the discriminant is less than zero then it does not touch the x axis

974 x 7 = 6818

There are an infinite number of correct answers, because the square could be

located anywhere in the coordinate plane. Why, the thing could even be tilted;

its sides don't necessarily have to be parallel to the coordinate axes.

The simplest answer corresponds to a square in the First Quadrant with a corner

at the origin. Its vertices are located at:

(0, 0)

(0, 5)

(5, 5)

(5, 0)

0.666666667 in fraction form can be simplified by recognizing it as a repeating decimal. This number can be expressed as 2/3 in fraction form. This is because the decimal 0.666666667 repeats the digit 6 infinitely, indicating a pattern that can be represented as the fraction 2/3.

honestly,

a reaaallly happy smile :)

y=x^2

-has a turning point at (0,0)

-the range is R+ or [0, infinity)

-the domain is R or (-infinity, infinity)

Very simple: it is 1.6989700043 to be exact. You can test this because log50 means we assume the natural log (base 10), if you test 10 to the exponent of 1.6989700043 you should render 50 as your result :D

9

yes. there are 6 zero's after the 275

42

4 sin(theta) = 2 => sin(theta) = 2/4 = 0.5.

Therefore theta = 30 + k*360 degrees or 150 + k*360 degrees where k is any integer.

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