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

   (x1, y1) = (-1, 5)  --->   x1 = -1     y1 = 5

   (x2, y2) = (0, 4)   --->   x2 = 0      y2 = 4

--->   d  =  √[ (x2 - x1)² + (y2 - y1)² ]

--->   d  =  √[ (0 - -1)² + (4 - 5)² ]

--->   d  =  √[ (1)² + (-1)² ]

--->   d  =  √[ 1 + 1 ] 

--->   d  =  √2

 ....   finish this with a calculator   ....

Multiply the area of one of the bases by 2 and add that answer to the lateral area (area of the sides).

The reason that you multiply the area of the base by 2 is because you have two bases, the top and the bottom.

If you want a decimal approximation, you can use the calculator:  √(25/35) = 0.8451546547...

If you want it into simplest radical form:  √(25/35)  =  √(5/7)  =  √5 / √7

   To simplify, multiply the numerator and the denominator by the denominator:

            √5 / √7   x   √7 / √7    =    √35 / √49    =    √35 / 7

A right-angled scalene triangle cannot have legs that measure 4 inches and 5 inches if the hypotenuse measures 6 inches ...

Let side a = 4 and side b = 5 with side c = 6 (hypotenuse).

The Pythagorean Theorem demands that a² + b²  = c²

But ...............                                       4² + 5²  ≠ 6²                (16 + 25 = 41, not 36)

You need to simplify the answer and then solve. When dividing by like numbers (I'm not sure whether of not they have to be alike but I'm pretty sure it doesn't matter in this particular problem), you can subtract the exponents. Because you're subtracting 6 from 4, you're going to get a negative number for an exponent: -2. Then, you make the -2 a positive 2 by turning it into a fraction, so it'll be 1 over 9 to the second power. You'll get 1 over 81. That's your answer in fraction form.

Is (5^x)2  =  5^x·2 ?

If so, since m(x) = 1:  1  =  5^x·2 

   divide by 2:         1/2  =  5^x

--->                log(1/2)  =  log(5^x)

--->                log(1/2)  =  x·log(5)

--->   log(1/2) / log(5)  =  x

--->  x  =  -0.43067...

Or does (5^x)2  =  (5^x)^{2 ?}

If so,    1  =  (5^x)² 

--->     1  =  5^2x

--->  log(1)  =  log(5^2x)

--->  log(1)  =  2xlog(5)

--->  log(1) / log(5)  =  2x

--->  0  =  2x

--->  x  =  0

Just about anything.

New and old depend on your perspective :)

9⁴ / 9⁶  =  9^-2       (when dividing numbers with the same base, subtract exponents)

9^-2  =  1/9²  =  1/81  =  0.012345679012...

Or:  9⁴ / 9⁶  =  6561/531441  =  1/81  =   0.012345679012...

1 2/4  =  1 1/2  =  3/2

You can set up a proportion:  (1/4) / (3/2)  =  x / 1

Cross multiply:  1 · (1/4)  =  (3/2) · x

--->                          1/4  =  (3/2)x

Multiply both sides by 2/3:  (2/3)·(1/4)  =  (2/3)·(3/2)x

--->                                              2/12  =  x

--->                                               1/6  =  x

--->   Answer:  1/6^th of a cup

If you wish to find the angle that has a cosine value of .5000 with this calculator:

Press (2nd)  

Press (acos)

Enter .5

Press

It will give the answer 60°

0. 6666666666666667

0.14285714285 

3.75

1 1/4 

0 * 0 = 0 because any number times 0 is 0.

The concept of a zero, so multiplying something by nothing outputs a nothing.

$${\mathtt{\,-\,}}{\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7}} = {\mathtt{6}}$$

So be equals 6

$${\frac{{\mathtt{3}}}{{\mathtt{1}}}} = {\mathtt{3}}$$

$${\frac{{\mathtt{3}}}{\left({\frac{{\mathtt{3}}}{{\mathtt{4}}}}\right)}} = {\mathtt{4}}$$

Easy

$${\mathtt{10}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}} = {\mathtt{19}}$$

9 + 10 is 21

23578246 minutes / 60 = 392970.7666666666666667 hours

392970.7666666666666667 hours / 24 = about 16,373.78 days

If we have

0 = e ^(x^2 / 2) ......this has no answer because an exponential (e raised to a power) can never  = 0

$${\frac{{\frac{{\frac{{\mathtt{23\,578\,246}}}{{\mathtt{60}}}}}{{\mathtt{60}}}}}{{\mathtt{24}}}} = {\mathtt{272.896\: \!365\: \!740\: \!740\: \!740\: \!7}}$$

(3 /1) / (3 /4)      change to multiplication and  invert the second fraction

(3 /1) * (4 / 3)   = 4    ...... just as Anonymous found !!!

 I'm not 100% but I think the answer is 4.