The slope is an expression of the change in y after a change in x.
Usually, this is expressed with a ratio, with the difference in y first.
The formula for slope is written as
.
Our points are
and
.
Of course, the difference is just subtracting one from the other, but you'll get either a positive or negative value depending on which way you subtract. That's all fine and dandy if you handle the differences in x and y in the same way like in the formula, because any unwanted negatives get cancelled out...it's not important.
Anyways, let's plug our points (2, 8) and (6, 12) into the slope formula.
Any number divided by 1 stays the same, so we can leave out the /1 and just have our slope be
1.
Answer:
value: 30
Step-by-step explanation:
The three dots after the 777 indicate that the pattern repeats forever. Specifically the 7s go on forever (the 1 does not repeat and its only listed one time)
Let
x = 0.1777...
The goal is to find the value of x in terms of a fraction of whole numbers (eg like 2/3 or 4/5)
The trick is to somehow get the decimal portion that goes on forever to go away. We will do this through subtraction. But first, we need to do a bit of side work.
Multiply both sides of the equation above by 10
x = 0.1777...
10*x = 10*0.1777...
10x = 1.777...
Notice how this moves the decimal over 1 spot to the right
Then go back to the original equation for x and multiply both sides by 100
x = 0.1777...
100*x = 100*0.1777...
100x = 17.777...
Now the decimal is moved over two spots to the right
-----------------------------------
In summary so far, we have
10x = 1.777...
100x = 17.777...
If we subtract 100x - 10x then we'll have
100x - 10x = (17.777...) - (1.777...)
90x = 16
The decimal portion 777... cancels out when we subtract. This is because the terms line up perfectly and subtract to 0
The last few steps is to solve 90x = 16 for x. We divide both sides by 90 and then reduce as much as possible
90x = 16
90x/90 = 16/90
x = 16/90
x = 8/45
Therefore the final answer is the fraction 8/45
I recommend you use a calculator to confirm that 8/45 will have the decimal form of 0.1777...
Note: your calculator may round the last digit from 7 to an 8
Answer:
Step-by-step explanation:
Alright, lets get started.
Florencia's length of hair on Monday = h
Now on Tuesday after haircut, her length is 75 % of the length it was on Monday.
So, length of hairs on Tuesday will be =
So, length of hairs on Tuesday will be =
Means , length of hairs on Tuesday will be = 0.75 h
So after haircut, Florencia's hair was 0.75 h. : Answer
Hope it will help :)
Answer:
Step-by-step explanation
larger angle = 76+2x
smaller angle = x
supplementary angles add up to 180
∴(76+2x)+x=180
76+3x=180
3x= 180-76
3x = 104
x = 104/3
x = 34.7°(smaller angle)≈ 35
larger angle = 76+2(34.7)
=76+69.4
=145.4≈ 145