All Answers 358150 Answers

There are \(6 \times 6 \times 6 = 216\) possibilities. 

The only way to get a sum of 17 is to have a 6, 6, and 5, which can be done in \(3! \div 2 = 3\) ways (divide by 2 because there are 2 6's)

So, the probability is \({3 \over 216} = \color{brown}\boxed{{1 \over 72}}\)

We write the quadratic as z^2 - z - 5 + 5i = 0.  Then by Vieta's formulas, the product of the real parts is -5.

The probability is 1/C(20,3) = 1/1140.

The solutions are -2, -1 + 2i, and -1 - 2i.

The roots of 3z^2 - 5z + 8 = 0 are \(\frac{5 \pm i \sqrt{71}}{6}\)

Then \((\frac{5 + i \sqrt{71}}{6})^2 + (\frac{5 - i \sqrt{71}}{6})^2 = -\frac{53}{36}\)

First of all you gotta chill out. The fraction can split into y/z + z/z, and the z/z can turn into 1, so you just have to calculate y/z+1. So can you solve it from now? the y/z is also in the question itself

HELP!!!

Don't be rude...

wait.. is the side length of b 4x inches?

substitute the slope for m: \(y = {3 \over 7}x + b\).

Now, plug in the point \((14,8)\) and solve for b: \(8 = {3 \over 7} \times 14 + b\).

Solving for b, we find \(b = 2 \), so our answer is \(\color{brown}\boxed{y = {3 \over 7}x + 2}\)

The correct answer is all of them by the way...

(180-58)/2=61 which is your answer

incomplete, i believe.

add 37 to all numbers to make first number 1.

1, 8, 15, -------- 147. Pattern is adding 7 everytime. So, 147/7= 21. Remember, everytime you count a list, like {1,2,3,4,5,6,7,8,9}, you have to add 1. 9-1+1=9 numbers. So, 21+1=22, like CPhill (the pro) says.

correct as usual! 

ANSWER BY CPhill:

Use Heron's Formula to find the area

s = the semi-perimeter  =   ( 8 + 12 + 14)  / 2  =    17

Area =  sqrt  [ 17 (17- 8) (17 - 12) ( 17 - 14) ]    =   3sqrt (255)

The longest altitudes will be drawn to the two shortest sides

So

3sqrt (255)   =(1/2)(8) * altitude 1              3sqrt (255)  =(1/2)(12) * altitude 2

(3/4)sqrt (255) = altitude 1                         (1/2)sqrt (255)  = altitude 2

Sum of altitudes   =    [3/4 + 1/2]sqrt (255)  =  1.5 sqrt (255)

POSTED HERE: https://web2.0calc.com/questions/assuming-that-x-isnt-equal-to-1-2-simplify-8x-2-4x-4x-2_1#r3

similar problem: https://web2.0calc.com/questions/right-triangle-trigonometry

Square A area: x^2

Square B area: 4x^2= 16x^2

x/16x^2=1/16

look here: https://web2.0calc.com/questions/help-please_8381

see here: https://www.geogebra.org/calculator/vywdwnmd

ans: -6, equation: -3x+-9y=3

THIS IS SIMPLE GEOMETRY. You should be able to know that a line is equal to 180 degrees. 180-118=62 degrees. This is 4th grade math. TOO EASY. Just try doing it yourself.

A = 20 and B = 3 and C = 5 and D = 12
A = 20 and B = 3 and C = 12 and D = 5

nice!