Answer:
Add 7 to both sides
Step-by-step explanation:
The equation has to be just x = y
There cannot be another number on the same side as the variable
Now that we did that, the equation is 9x = 0
x = 0
Well, that was easy lol
I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.
Answer:
x = 17
, y = 34
Step-by-step explanation:
Since the triangle is right use trig ratios to find x and y
note exact values sin30° = 
, tan30° = 
sin30° = 
= 
multiply both sides by y
y sin30° = 17 ( divide both sides by sin30° )
y = 
= 34
tan30° = 
= 
multiply both sides by x
x tan30° = 17 ( divide both sides by tan30° )
x = 
= 17
11% not 100% sure Bc I calculated but hope it helped!
Answer:
Coordinate point of the image is (9, -2)
Step-by-step explanation:
In the coordinate point (4, -6);
=> x-value = 4
=> y-value = -6
We know that the translation of;
=> 5 units right would add 5 to the x-value
- <em>(x) + 5</em> = (4) + 5
- 9 <= This is the x-value of the image being created by the translation.
=> 4 units up would add 4 to the y-value
- <em>(y) + 4</em> = (-6) + 4
- -2 <= This is the y-value of the image being created by the translation.
Therefore the answer; (x, y) => (9, -2)
Hope this helps!
