geno3141

x + y  =  11

Since y = 2x, replace the y-term with 2x to get:

 x + 2x  =  11

    3x  =  11

Divide both sides by 3:

    x  =  11/3

Since y = 2x,  y = 2(11/3)  =  22/3

If the side of a square is  s , then the area of theat square is:  Area  =  s².

If the area is 81:    81  =  s²

Finding the square root of both sides,  s  =  9   (Also, -9, but that's impossible.)

Teh perimeter is the distance around the outside, if each side = 9 cm, then all four sides together total 36 cm.

f(x)  = -4x² + 9x + 7

Since  f(x)  =  0,     -4x² + 9x + 7  =  0

Solving by the quadratic formula:    a = -4,  b = 9,   and   c = 7

      x  =  (-9 ± √[ 9² - 4(-4)(7) ] ) / ( 2(-4) )

     x  =  ( -9 ± √[ 193] ) / ( -8 )  

     x  =  2.862  or  -0.6116

Using that formula:     A = 2000          P = 1000         r = 0.06         n= 1         Solve for t.

2000  =  1000(1 + 0.06/1)^(1·t)

2000  =  1000(1.06)^t

Divide by 1000:

2  =  (1.06)^t

If the variable is an exponent, use logs:

log(2)  =  log( 1.06^t )

An exponent in a log comes out as a multiplier:

log(2)  =  t·log(1.06

Divide both sides by log(1.06):

log(2) / log(1.06)  =  t

t  =  11.9  years    (approximately)

When you divide by a number, the greatest number of digits that it can have is 1 fewer than the number that you are dividing by.

For instance,  4/7  =  .571428 571428 571428 ...  (I added the spaces so that the number is easier to read.)

Notice that when dividing by 7, a block of 6 digits repeats. 

(Some fractions don't repeat, like 1/2 = 0.5, and other fractions, like 2/3 = 0.6666 repeat a bock shorter than the number that was used for division -- only one digit repeats, but the number ws divided by 3.)

So  1/17  can have a block of, at most, 16 digits repeating.

1/17  = .05 88 23 52 94 11 76 47 05 88 23 ...  (I used the calculator on this site to get these digits.)

It's up to you to keep the pattern going for 30 places.

From Elizabeth (point A) to the point directly below the kite (pointC) and, from there up to the kite (point B) forms a right griangle with a right angle at C.

Using the Pythagorean Theorem:   c²  =  a² + b²

The distance from A to B is the hypotenuse, c:  c = 90.

The distance From A to C is one of the sides, b:  b = 54

The distance from C to B is the other side, a, the unknown.

c²  =  a² + b²     --->     90²  =  a² + 54²     --->     8100  =  a² + 2916     --->     5184  =  a²

--->   a  =  √5184     --->  a  =  72 ft

The area of a circle if found by multiplyint pi times the value of the radius squared:

A  =  π·r²

The Pythagorean Theorem applies to right triangles:  c²  =  a² + b²

where  c  is the length of the hypotenuse, and  a  and  b  are the lengths of the other two sides.

The problem says that  c = 9  and  a = 6. You are to find the value of  b.

 c²  =  a² + b²     --->      9²  =  6² + b²     --->     81  =  36 + b²     --->     45  =  b²

--->     b  =  √45     --->     b  =  √9√5     --->     b  =  3√5

If the problem is   ln(20164 + 9) / 2   the answer is  4.956...

If that isn't the problem, what is the problem?

What did you try?

Exactly, what did you enter?