There’s no x value and there’s no y value so your slope will be 0.
To simplify a fraction, you divide the top and the bottom by their
common factor, if they have any.
So the first thing we have to do is figure out whether 35 and 63
have any common factors.
The factors of 35 are 1, 5, 7, and 35 .
The factors of 63 are 1, 3, 7, 9, 21, and 63 .
We don't care about ' 1 '.
'1' is a factor of EVERY number, and it doesn't help anyway.
We could divide things by '1' all day long and nothing would change.
The only common factor besides ' 1 ' is 7 .
So to simplify the fraction, we divide top and bottom by 7 .
35/7 = 5
63/7 = 9
35 / 63 = 5 / 9 .
Step-by-step explanation:
8
Assuming the .75x4 is .75 times x times for and not .75 times four...
Firstly, know you want x on its own.
So I’d start by adding 8 to both sides. This cancels out the -8:
.75x *4 - 8 = -12
+8 +8
= .75x * 4 = -4
Now divide by 4, both sides.
.75x * 4 = -4
———————
4
=.75x = -1
Finally, divide both sides by .75:
.75x = -1
—————
.75
= x = -1.33 (33 repeating) OR -4/3
But if you meant .75x^4 - 8 = -12 then here’s the answer.
First you add 8 to both sides, so:
75x^4 - 8 = -12
+8 +8
= .75x^4 = -4
Now divide both sides by .75:
.75x^4 = -4
——————
.75
= x^4 = -5.3333 OR -16/3
Now’s the harder part. We need to get rid of ^4 from x. Which means taking the root (both sides)...
An easier way to say this, and how I prefer to set it up, is + or - (-16/3)^(1/4)
You have the + or 1 part because the square root of something is always able to be positive or negative— as an easy example, 2*2=4 and -2*-2=4, so root of 4 could be -2 or 2. Anyways for this problem there aren’t any real solutions.
If your teacher is expecting you to use i in order to get the answers (for this last part, assuming they wanted .75x^4 and not .75x*4) then I can explain in the comments but it’s definitely harder than what I’ve shown here.
