Find a26 in the arithmetic sequence: -15, -35, -55, -75
1 answer:
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Answer:
Option 1:(x-4)^2+y^2=100
Step-by-step explanation:
Given center = (h,k) = (4,0)
The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.
So,
The distance formula will be used:
Hence radius is 10.
The standard form of equation of circle is:
(x-h)^2+(y-k)^2 = r^2
Putting the values
(x-4)^2+(y-0)^2=10^2
(x-4)^2+y^2=100
Hence option 1 is correct ..
Question:
Suppose we want to choose 3 colors, without replacement, from the red, blue, green, and purple.
(a)How many ways can this be done, if the order of the choices is taken into consideration?
(b)How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
(a) 6 choices
(b) 3 Choices
Step-by-step explanation:
Given:
3 Colors
Order of choice : Red, Blue, Green
(a) Order of the choices taken into consideration :
When we are picking the first colour there are 3 color choice.
When we are picking second colour there are 2 choice and so on.
Therefore, total choices are = 3*2 = 6 choices
(b) Order of the choices not taken into consideration :
When to take this option we choose as and the remove the duplicates
Therefore, choices are = =
= 3 Choices