geno3141

The distance formula is:  d  =  √[ (x2 - x1)² + (y2 - y1)² ]

It makes no differnce which point you call (x1, y1) and which point you call (x2, y2).

If  (x1, y1) = (-3, -2)  and  (x2, y2) = (7, -6),

then  x1 = -3    y1 = -2    x2 = 7    and     y2 = -6

Substituting:                d  =  √[ (7 - -3)² + (-6 - -2)² ]

                                   d  =  √[ (10)² + (-4)² ]

                                   d  =  √[ 100 + 16 ]

                                   d  =  √[ 116 ]

                                   Reduce, if you wish.

Finding the difference is subtracting:

              1658  -  5000  =  -3342.

Since the statement doesn't tell which way to subtract, the answer could be  5000 - 1658  =  3342.

(√x)^6  =  √x·√x·√x·√x·√x·√x

            =  (√x·√x)·(√x·√x)·(√x·√x)

            =  (x)·(x)·(x)

            =  x^3

A faster way is to write  √x  as  x^(1/2)               (Because a square root is a number to the 1/2 power.)

Then  (√x)^6  =  ( x^(1/2) )^ 6  =  x^3             (Because, to simplify a problem that is a power to a power,

                                                                         multiply the two powers together:  1/2 x 6  =  3.)

The distance formula is:  d  =  √[ (x2 - x1)² + (y2 - y1)² ]

It makes no differnce which point you call (x1, y1) and which point you call (x2, y2).

If  (x1, y1) = (-6, 5)  and  (x2, y2) = (-1, -7),

then  x1 = -6    y1 = 5    x2 = -1    and     y2 = -7

Substituting:                d  =  √[ (-1 - -6)² + (-7 - 5)² ]

                                   d  =  √[ (5)² + (-12)² ]

                                   d  =  √[ 25 + 144 ]

                                   d  =  √[ 169 ]

                                   d  =  13

7 1/8  =  7 + 1/8

To find 2(7 + 1/8) multiply the 2 x 7 and the 2 x 1/8:  2 x 7  =  14  and  2 x 1/8  =  2/8

So, the answer is 14 2/8  =  14 1/4

4/5 is in common fraction form.

To find decimal divide 4 by 5 to get 0.8.

y  =  0.25(0) - 4  =  0 - 4  =  -4

y  =  -2x - 1

Replace the 'x' with a '1':  y  =  -2(1) - 1  =  -2 - 1  =  -3. 

This is the value that you wanted for y, so yes, it is a solution!

126  =  2 x 3 x 3 x 7

264  =  2 x 2 x 2 x 3 x 11

The greatest common factor is the largest number that divides evenly into both; you can use only those factors which are in each, there is only one 2 in each, one 3 in each, and the 7 and the 11 isn't in both, so you ignore them.

It will have one 2 and one 3:  2 x 3  =  6

Change 5 1/3 into 16/3

(1/4)(3x - 16) + (1/4)x = 16/3

Multiply all terms by 4:

3x - 16 + x = 64/3

Multiply all tlerms by 3:

9x - 48 + 3x = 64

Simplify 9x + 3x:

12x - 48  =  64

Add 48 to both sides:

12x  =  112

Divide both sides by 12:

x  =  112/12  =  9 1/3