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Or after substracting 88 you could apply the formula for second degree equations, if you're not good at factoing. You have to be sure you have arranged well all the numbers.

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

Where, in this particular case, a=1, b=3, and c=(-88). It will give you the two results after splitting the equation in the sum and substraction due to the "add AND/OR substract" sign.

At least it has a question in it.

Most likely a overextended stomach, lots of pain, and an obvious eating problem.

The subtraction sign

x  =  sqrt ( 19^2 + 14^2)   =  sqrt ( 361 + 196)   =  sqrt ( 557) ≈  23.6

Thanks!

x^2 - 3x  = 88    subtract 88 from both sides

x^2 - 3x  - 88 = 0   factor

(x - 11) ( x + 8)  =  0     setting both factors to 0 and  solving for x and x = 11  or x  =  - 8

Why don't you care?

47,000,000,000,000,000,000,000

The zipline will be the hypotenuse of a right triangle whose legs are 20 ft anf 47 ft......so we have

Length =  sqrt (20^2 + 47^2) ≈  51.1 ft

If you draw the picture, you will be able to draw a right triangle from the top of the shorter building straight across to the taller building (47 feet), up to the top of the taller building (20 feet) and slanting down (the zip line) back to the top of the shorter building.

Using the Pythagorean Theorem:  47² + 20²  =  c²

If you finish this, the value of c will be an approximation for the length of the zip line.

(Actually, because of gravity, it will have to be a little longer.)

Club Penguin? You mean the game? How did that happen?

If the side of a cube is x, then the volume is x³.

The problem to be solved is:  x³ =  73.560059

                                            So:  x  =  cube root ( 73.560059 (

                                                    x  =  4.19

A tree casts a shadow of 27 meters when the angle of elevation of the sum is 26 degrees. Find the height of the tree to the nearest meter.

nah famio 

Thank you very much. 

Any one of the ten essays may win gold.

Any one of the nine remaining essays may win silver.

Any one of the eight remaining essays may win bronze.

Thus, there are 10 x 9 x 8 = 720 ways to award the essays.

white ;))))))

A tree casts a shadow of 27 meters when the angle of elevation of the sum is 26 degrees. Find the height of the tree to the nearest meter.

Tan(26) = Height / Shadow

Tan(26) =H / 27

0.4877325 =H / 27

H =27 x 0.4877325

H =12.681 or ~13 meters - height of the tree.

The angle, the height of the tree, and the shadow of the tree form a right triangle.

The height of the tree is the side opposite the angle and the shadow is the side adjacent to the angle.

tan  =  opposite / adjacent

tan(26^o)  =  height / shadow

tan(26^o)  =  height / 27

tan(26^o) · 27 = height.

Use a calculator to find the value of tan(26^o) · 27 ...

f(x)  = x^(1/3)

f'(x)  = (1/3)x^(-2/3)    this derivative is undefined when x  = 0......so this is a critical point

See  the graph here :

https://www.desmos.com/calculator/w5bqt2akbh

As the graph shows......we have vertical tangent  at x  = 0

A critical point occurs where the first derivative is either zero or does not exist.

First, find the first derivative:  f'(x)  =  (1/3)·x^-2/3  

The first derivative will be undefined when x = 0.

none.

Sounds good, but you would probably get hungry in the proccess, so...