Answer = V (2,1)
Because:
The equation of the circle is
(x+1)² + (y+3)² = 25
(2+1)² + (1+3)² = 25
3² + 4² = 25
9 + 16 = 25
25 = 25
I guess it's the first dia. which is not intersecting....
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➷ Just work with what is inside the parenthesis
Also, move around the terms to help it make more sense:
(cosA cosB - cosA cosB + sinA sinB + sinA sinB)
As you can see, the 'cosA cosB' would cancel out through subtraction.
Now we have this:
(sinA sinB + sinA sinB)
This is just two sets of sinA sinB so it can be written as:
(2 * sinA sinB)
Simply place the values outside the parenthesis back there to get the answer
SinA sinB = 1/2 * (2 * sinA sinB)
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The exponential equation in its generic form is:
y = A * (b) ^ t
Where,
A: initial amount
b: base (Growth rate for b> 1. Decrease rate for b <1.)
t: time.
We have then that the equation is:
N = 40.25 (1.0394) ^ t
The base is:
b = 1.0394> 1 (it is a growth rate)
Answer:
The base, b, of the exponential model is:
b = 1.0394
the base is a growth rate