Calculus

x2 - 8x = 1

∴ x2 - 8x + 16 = 17

∴ (x - 4)2 = 17

∴ x - 4 = ±√17

∴ x = 4 ± √17

58

7x - 2x = 80

subtracting like terms,

5x = 80

divide both sides by 5

x = 16

The convection forces of plate tectonics.

2x - 6 = x + 5

Isolate x.

2x - x = 6 + 5

x = 11

-y + y equals 0.

2x+3y = 6

2x+3(0) = 6

2x = 6

x = 6/2

x = 3

The answer is every point on the line in the Cartesian plane which is defined by the equation.

You have one linear equation in two unknown variables. In order to solve for two variables you need two independent linear equations.

A body in simple harmonic motion with amplitude A will move a total distance fo 2A in a time equal to one period.

(x-5)(x-6)

so x=5,6

23 times 1.5 is 34.5.

5x - 4 + 3x = 36

Simplify: 8x - 4 = 36

Add 4 to both sides: 8x = 40

Divide both sides by 8: x = 5

If: 3x+8-x = 5x-4

Then: x = 4

30 April 1777 - 23 February 1855

Continental drift :)

y=-0.02x2+2.4x

This is a downward facing parabola.. It will have a maximum when dy/dx = 0

dy/dx = -0.04x+2.4

-0.04x+2.4=0

-0.04x=-2.4

x=60

y has a maximum of 72 when x=60

9 x 27 equals 243

179/500

108...? did u really ask that?

6.39/7.1 = 0.9

(x-6)(x+4) = 0

x = 6 or x = -4

2x-12

When multiplying any number by 10, 100, 1000 (basically any #1 followed by zeros) just count the number of zeros. The number of zeros present is how many spots the decimal moves to the left.

For example


3.5 X 10 = 35


24.5 X 100 = 2450




So the answer would be


2.45 X 10 = 24.5