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Does this help:

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I looked at your answer and I was very impressed with the quality of your explanation.

Thank you.      

Unfortunately you made a small error near the end.

You only multiplied one side by -1        

The answer should be y>-6

The following doesn't do all you want it to, but it does show how to calculate the shortest path, and what the angle is:

sin(2x) can be written as 2sin(x)cos(x), so we have:

2sin(x)cos(x) = sqrt(3)cos(x)

Either cos(x) = 0, in which case x = 90° or sin(x) = sqrt(3)/2 in which case x = 60°

(there are an infinite number of mutiples of these angles that also satisfy the equation).

I think this solution may be too complicated for you to understand, but I wanted to give an as accurate description of the solution. You may want to skim over my solution.

-4 * (6/100)

a*(b/c) = (a*b)/c

(-4*6)/100

(-24)/100

(-24)/(100)

Factorization of the top and bottom part.

(-1*2*2*2*3)/(2*2*5*5)

In fractions, there is a rule where ab/ac= b/c, we try to write the expression in this form

We can see that the factor (2*2) is in both the upper and lower part of the expression, we set a= (2*2)

ab/ac= ((2*2)*(-1*2*3))/((2*2)*(5*5))

Here, we can see that, b= (-1*2*3) and c = (5*5)

Then we get

ab/ac= b/c= (-1*2*3)/(5*5)

(-6)/(25)

-6/25

Which is the simplest form of the above expression.

Thanks unknown people of the internet.

8 -5y -9y <92

Move the addends.

-5y -9y < 92 -8

Right distributive law gives:

(-5 -9) *y < 92 -8

Addition/subtraction gives:

-14y < 84

Multiply by (-1) and switch from less than symbol to greater than symbol.

(Because a<b ==> -a>-b)

14y > 84

Divide by 14 on both sides.

y > 6

Use Pythagoras to get the length of the segment as

$$\sqrt{(x--1)^2+(0-4)^2}=\sqrt{(x+1)^2+16}$$ So we must have 

$$\sqrt{(x+1)^2+16}=5$$or 

$$(x+1)^2+16=25\\\\ (x+1)^2=9\\\\ x+1=\pm3\\\\ x=\pm3-1$$so x = 2 and x = -4.

A (not very edifying!) sum of cosines: 

.

125 * 5.5 km

Tomas works as an underwater photographer.Her starts at position that starts 15 feet below sea level.He rises 9 feet,then descends 12 feet to take a photo of a coral reef.Write and evaluate an expression to find the position relative to the sea level when he took the photo.

-15+9-12 = -6-12=-18

I assume you want to "build " this graph?

I have done it here

https://www.desmos.com/calculator/l2soz8jbni

Click on the circles on the far right one at a time, to build you graph :))

f(x)=1/3l-xl+4

Problem fixed

Admin

Hint.

Multiply both sides by 15.  The left hand side needs to be put into brackets first.   :)

ok so lets just say you want to make 123000.0 into scientific notation alright? You move the decimal after the first number that is not 0 so you would have 1.23 because you generally go 2 numbers after the first. You would take that number (1.23) and insert x10^? after the number and so far we have 1.23 x 10^?. the ? will be however many times you would move the decimal so it would be like 123000.0 x 10^0, 12300.00 x 10^1, 1230.000 x 10^2, 123.0000 x 10^3, 12.30000 x 10^4, 1.230000 x 10^5 and 1.23 x 10^5 would be your answer because generally you only need 2 placed after the decimal. Decimals are pretty much the same except you go the opposite direction when counting. so for example this time we have 0.000123. You would repeat step 1 and move the decimal to the first number that is not 0 so once again you have 1.23 x 10^?. the ? once again is just how many times you moved the decimals but since you moved it right this time it would be negative so 0.000123 x 10^0, 00.00123 x 10^-1, 000.0123 x 10^-2, 0000.123, and 00001.23 x 10^-3 so you would have 1.23 x 10^-3. Hoped i helped

343/4? if that is what you want

fractions are simply division so a half would be 1/2 and if you are using it in an equation put it in parenthesis such as 3*(1/2) or else the calculator will do 3*1 then /2

8=2x^2-5

Your answer is:

x = ±sqrt(13/2)

2/3+3e/5=31/15

YOUR EQUATION IS FALSE!

cube root of 95

Cubic root of 95=4.56290263538

i selected the Rad option

nothing changed, still the same, i think it's broken :

Do it by hand as follows=( degrees X Pi) / 180=Radians

E.g.=(45 degrees X 3.14159265358) / 180 =.7853981634 radians

Good luck.

Sorry, Your heading is different from what is in the body of the question.   ://

R4 = 3( cos π/ 8 + cos π/ 4 + cos 3π /8 + cos π/ 2) π /8

R4 = 3( cos π/ 8+ cos 3π /8 + 1/root2 ) π /8

R4 = 3( cos π/ 8+ sin π/ 8 + 1/root2 ) π /8

R4 = 3(sqrt(cos π/ 8+ sin π/ 8)^2  )   +1/root2 ) π /8

R4 = 3(sqrt(1+2sin(pi/8) cos(pi/8))   +1/root2 ) π /8

R4 = 3(sqrt(1+sin(pi/4) )   +1/root2 ) π /8

R4 = 3(sqrt(1+(1/root2 ))   +1/root2 ) π /8

I am sorry.  Trying to do this without LaTex is no fun at all.   :(

Maybe i will try to do more with it later.

OR perhaps you can take it from here.   

how do i simplify 85 3/4,

85 3/4=85.75 You can't simplify it any further.

how do you write this in scientific notation 3,155,000,000

It's written like this in scientific notation 3.155 X 10^9