MaxWong

4500 x 100

= 45 x 1 x 100 x 100

= 45 x 10000

=450000

Hello.

Scientists have calculated the first 13.3 trillion digits of pi in 2016

thx

I have learnt Laplace Transform but I didn't know it's application

I don't know any methods other than quad. eq. and sq. roots.

Solve using square roots

2x² +6 = 14

2x²=8

x²=4

x = \(\pm2\)

(x-1)² +3 = 12

(x-1)² = 9

x-1 = \(\pm3\)

either x = 4 or x= -2

Solve using any method

y = x²-3x+4

y = x+9

x² - 3x + 4 = x + 9

x²-4x-5 = 0

(x-5)(x+1) = 0

either x = 5 or x = -1

y = 2x²-4x+7

y=9

2x²-4x+7 = 9

2x²-4x-2 = 0

x²-2x-1 = 0

\(x = {-(-2) \pm \sqrt{(-2)^2-4(1)(-1)} \over 2(1)}\)= \(1\pm\sqrt2\)

either x = 1+√2 or x=1-√2

y=x²

y=1

x²=1

x=\(\pm1\)

either x=1 or x = -1

\(y = x^2-1\)

\(y=\frac{1}{2x}-3\)

\(x^2-1=\frac{1}{2x}-3\)

\(x^3-x=\frac{1}{2}-3x\)

\(x^3+2x-\frac{1}{2}=0\)

x=  0.24283973258548086 or x=  -0.12141986629274043 + 1.4297651386824481i or

x=  -0.12141986629274043 - 1.4297651386824481i

radius = 8 in.

diameter = 16 in.

circumference = 16π in.

area = 64π sq.in.

You cannot do this question.

How can (36+45)/63 be a whole number?

(I don't know Thai but I used Google Translate)

(Did I get the correct idea?) XD

I would prefer simplification of the parentheses.

3(x-4) = -18

3x - 12 = -18

3x = -6

x = -2

B is the correct answer

We have 2 points : (0 , -4) and (1, 0)

m = (0 - -4) / (1 - 0) = 4/1 = 4

Positive slope.

y = mx + b

y = 4x + b

b, which is the y-intercept, is -4

so y = 4x + -4 = 4x-4

(a)       3x - 2y = 14  ------(1)

            -2x +2y = -10 ------ (2)

(1) + (2)

x = 4 ------(3)

Subst. (3) into (1)

3(4) - 2y = 14

3(4) - 14 = 2y

-2 = 2y

y = -1

Therefore x=4 and y= -1.

And I believe that is what your teacher will advise you to do.(Method of Elimination)

(b)    y = 5x+3 ------(1)

       -2x - 4y = 10 ------- (2)

Let's make (2) less complicated.

2x + 4y = -10

x + 2y = -5 ------ (3)

Looks better.

Your teacher may want you to do Method of Substitution......

so

Subst. (1) into (3),

x + 2(5x+3) = -5

x+10x+6 = -5

11x = -11

x = -1 ------ (4)

Subst (4) into (1)

y = 5(-1) + 3 = -5 +3 = -2

Therefore x=-1 and y=-2