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6 (x+5) = 6 x+30:
36 (2 x-1) = 6 x+30+3 x

Grouping like terms, 6 x+3 x+30 = (3 x+6 x)+30:
36 (2 x-1) = (3 x+6 x)+30

3 x+6 x = 9 x:
36 (2 x-1) = 9 x+30

Expand out terms of the left hand side:
72 x-36 = 9 x+30

Subtract 9 x from both sides:
(72 x-9 x)-36 = (9 x-9 x)+30

72 x-9 x = 63 x:
63 x-36 = (9 x-9 x)+30

9 x-9 x = 0:
63 x-36 = 30

Add 36 to both sides:
63 x+(36-36) = 30+36

36-36 = 0:
63 x = 30+36

30+36 = 66:
63 x = 66

Divide both sides of 63 x = 66 by 63:
(63 x)/63 = 66/63

63/63 = 1:
x = 66/63

The gcd of 66 and 63 is 3, so 66/63 = (3×22)/(3×21) = 3/3×22/21 = 22/21:
Answer: x = 22/21

Area = S^2

225 = S^2 take the square root of both sides.

S = sqrt(225)

S = 15 feet - each side.

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Simplify the following:
sqrt(-2)

sqrt(-2) = sqrt(-1) sqrt(2) = i sqrt(2):
Answer: |i sqrt(2)

Here, I'll try to kinda wing this answer for you.

So, we know cot = 6, right?

We should know that cot = 1/tan

We also know that tan means opposite over adjacent.

Since cot = 1/tan, tan = 1/6

this means our opp is 1, and our adj is 6

So we have two sides, the opposite and the adjacent.

We know through Pythagorean theorem that a^2 + b^2 = c^2 and a & b are 1 & 6.

ax+b=c, 2x + 7 = 15, or 3x + 12 = 24, or 4x + 20 = 36......... where x=4

Nevermind i got it

Nevermind i got it

x= -.5, -9.5

First distibute 1/2 onto x and -1.

y+5=1/2x-1/2

Then subtract 5 from both sides of the equation in order to isolate y. 

y=1/2x - 5 1/2 

^ slope formula is y=mx+b

5√7

x+36=-40 subtract 36 from both sides

x = -40 - 36

x = - 76

SORRY!!!!! I meant x=-76

x+36=-40

You need to move over 36 to get x alone so you subtract 36 from both sides. You get x=-76

THE ANSWER- x=76

REMEMBER- Anything you do to one side you need to do to the other.

y=-1x+2

Remember- y=mx+b

m=slope

b= y-intercept

(THIS IS FOR A LINEAR EQUATION) 

Simplify the following:
(-4)^2-3 ((-9)/3)^2

The gcd of -9 and 3 is 3, so (-9)/3 = (3 (-3))/(3×1) = 3/3×-3 = -3:
(-4)^2-3×-3^2

(-3)^2 = 9:
(-4)^2-3×9

(-4)^2 = 16:
16-3×9

-3×9 = -27:
16+-27

16-27 = -(27-16):
-(27-16)
Answer: |-11

3(x-5)=6

You distribute the 3 and get 3x-15=6

3x-15=6

Move the 15 over by adding 15 to -15 and 15 to 6 BECAUSE you need to get the x to one side. You get 3x=21

3x=21

You have to get x alone, so divide x by 3 and 21 and get x=7

THE ANSWER IS: x=7

Remember- anything you do to one side you have to do to the other

3(x-5)=6

3(2)=6

7-5=2

x=7

Solve for x over the real numbers:
4^(-1-2 x) = 16

Take reciporicals of both sides:
4^(2 x+1) = 1/16

Take the logarithm base 4 of both sides:
2 x+1 = -2

Subtract 1 from both sides:
2 x = -3

Divide both sides by 2:
Answer: |x = -3/2

-1.5 = x 

If you approach the problem as .25^(x)=16 it simplifies the equation quite a bit. Using exponents we know that raising a fraction to a negative number allows us to "flip" the fraction upside down giving us the new equation 4^(x) = 16 from there we can logically see that 4^(2) = 16. This brings us to the second part of the equation (2x+1) = -2 remember that the 2 needs to be negative in order for us to flip our fraction. Applying simple algebra we arrive at our final answer that -1.5 = x

What's 8/4 = 3/x cross multiply

8x = 12 divide both sides by 8

x = 12/8

x = 1 1/2

EAR = [1 + 6.75/1200]^12

        = [1 + 0.005625 ]^12

        = [1.005625]^12

        = 1.0696 - 1

        =0.0696 x 100

        =6.96%

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