The first step is to assign the decimal number to a variable.
For the repeating fraction 0.111_1, this would look like
.. x = 0.111_1 . . . . . . . . . . where we use an underscore to identify the following digit(s) as repeating
The next step is to multiply that value by 10 to a power equal to the number of repeating digits. If there is one repeating digit (as here), then you want (10^1)x = 10x.
.. 10x = 1.111_1
The third step is to subtract x from this.
.. 10x -x = 1.111_1 -0.111_1 = 1
.. 9x = 1
And the final step is to divide by the coefficient of x.
.. x = 1/9 . . . . . . this is the value of the repeating decimal fraction.
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Here's one that's a little more complicated. It is done the same way.
.. x = 3.254545_45
.. 100x = 325.454545_45
.. 100x -x = 99x = 322.2
.. x = 322.2/99 = 3222/990 = 179/55
Answer:
32
Step-by-step explanation:
The interior angles of a triangle add up to 180.
Subtract 98 and 50 from 180.
180-(98+50)=32
Answer:
Step-by-step explanation:
You are looking for the point of intersection of these two functions.
Substitution:
- This are now your formulas
- You are going to substitute x, so you can solve for y
- Now you are going to substitute y to find x
- Now lets check if it is correct
So it is true, making (-4 , -5) your point of intersection.
hope it helps
Answer:
-y-x+5=0
Step-by-step explanation:
because if a line is perpendicular then
eqn bx-ay+.k..=0
Y=6x, 2x+3y=-20
Substitution means just plugging in another equation equal to a single variable in order to solve for the other variable, and then the first. In this case, the equation being plugged in is y=6x, so 6x will be put in place of y in the equation 2x+3y=-20.
2x+3(6x)=-20
2x+18x=-20
20x=-20
x=-1
And then x=-1 can be plugged into the original equation to find y. (And, if you wish, into the y= equation to check it.)
2(-1)+3y=-20
-2+3y=-20
3y=-20+2
3y=-18
y=-6
And to check it, we plug the two into the original y= equation.
y=6x
-6=6(-1)
-6=-6
They are equal, so both check out.
x=-1, y=-6
