To find the decimal form, you have to manually divide 1 by 8. Since 8 is greater than 1, the quotient would then start with 0., then you add a 0 next to 1, to make it 10. This time, divide 10 by 8. The nearest answer would be 1, because 1 *8 = 8. Subtracting this from 10, you get 2. Add another 0 to 2, to make it 20. Do the cycle all over again. The complete solution is as follows:
0.125
---------------------------
8 | 10
- 8
------------------------
20
-16
-------------
40
- 40
-------------
0
<em>Hence, the decimal form of 1/8 is 0.125.</em>
Answer:
2x + 6 = -18
x + 1 = -11
3x = -36
Step-by-step explanation:
First find the solution! Then you can create your own equations
2x+9=-15
2x=-24
x=-12
Thus u need solutions with:
x = -12
Knowing the equation of a line as:
y = mx + b
we can can start by making y = -12 (our solution)
mx + b = -12
Now we can pick a value for m and b by adding and miltiplying on both sides
We do this to keep both sides equal.
if we make m = 2 and b = 3:
2x + mb = -12*m + 2b
2x + 6 = -24 + 6
2x + 6 = -18
Solving this we also get x = -12, as we expect.
An alternative way to think about it is to imagine that we start with a simple equation and make it more complex. We have our solution:
x = -12 => lets add a b value!
x + b = -12 + b => Lets add a slope (m)
xm + bm = -12m + bm
Giving values for this can give you multiple equation of the same solution.
General Formula:
m(x+b) = m(y+b)
mx + bm = my + bm
The correct first step to solving the system of equations in the most efficient manner is x = -4y +19.
The given system of equations is;
<h2>What is the first step to solving an equation?</h2>
The first step would be to rearrange the variables in the second equation so we have a defined expression for x.
We would want to do this so we could then plug in the defined expression for x into the other equation and solve for the other variable.
x + 4y = 19
Rearrange this by getting the 4y to the other side.
We can get 4y on the other side by subtracting 4y from both sides
x + 4y - 4y = 19 - 4y
x = -4y + 19
Hence, the correct first step to solving the system of equations in the most efficient manner is x = -4y +19.
To know more about the System of equations click the link given below.
brainly.com/question/15240525
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
