Answer:
3.4 is the answer i think
Step-by-step explanation:
Answer:
d =13 cm
r = 6.5 cm
Step-by-step explanation:
The diameter is the distance across the circle, going through the center
d = 13 cm
The radius is 1/2 of the diameter
r = d/2 = 13/2 = 6.5 cm
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.
Here is my table of points:
Answer:
(-1, 6)
Step-by-step explanation:
The midpoint is the halfway point. So, if M is the midpoint of PQ, then simply take the distance between your P and M co-ordinates and apply that one more time to get to Q.
Your x value at point M is 5, and your x value at point P is 11.
11 and 5 are 6 units apart.
Since M is in the middle of P and Q, M is therefore 6 units apart from both P and Q on the x-axis, so we can subtract 6 from 5 to find Q's x co-ordinate of -1.
Your y value at point M is -2, and your y value at point P is -10.
-10 and -2 are 8 units apart.
Add 8 to M to find your y co-ordinate at point Q of 6.
Your Q point is at (-1, 6).
