Answer: A. student have an equal
Step-by-step explanation:
The equation of a sphere is:
(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2
where h, k and l are the coordinates of the center of the
sphere
Using the midpoint formula, the coordinate of the center
is:
h = (-4 + 6) / 2 = 1
k = (7 + -5) / 2 = 1
l = (6 + 7) / 2 = 6.5
so the equation becomes:
(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2
we plug in any point, in this case point P to solve for r:
(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2
r^2 = 61.25
So the full equation is:
<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>
Answer:
Treaty of Paris (1783
Step-by-step explanation:
Some of the treaty key points are;
The aim of the parties to "forget" previous disputes and controversies and to gain "perpetual peace and harmony"
1) The acknowledgement of the United States as a sovereign state
2) The United States boundary establishment
3) The right to fish granted to the United States fishermen
4) Debt settlement of lawful contracts on either side
5) Prisoners of war are to be released
6) Protection of property of Loyalists by the United States.
The inverse of the function x^7 is x^-7 and it is also a function.
An inverse function or an anti function is defined as a function, which can reverse into another function.
A standard method to find inverse of a function is to set y=f(x)
let y= f(x)=x^7
thus
![\sqrt[7]{y}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7By%7D)
=x
thus 
(y)=
thus ![f^{-1} (x)=\sqrt[7]{x}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%20%28x%29%3D%5Csqrt%5B7%5D%7Bx%7D)
(To verify this if a function is inverse or not we are required to check for the identity)
f((x))=(f(x))=x
Therefore, The inverse of the function x^7 is x^-7 and it is also a function.
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Answer:
x > 48/5 the first one is false
