Answer: ;
Step-by-step explanation:
I have never done a problem like this, so this is my first time attempting it.
The standard form for the equation of a circle is:
Begin by grouping the 'x' terms and 'y' terms:
Complete the square for the second polynomial:
Do the exact same process with the other polynomial:
Complete the square:
Bring the 121 to the other side to get:
The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:
Answer: Additive Inverse
Step-by-step explanation: The Additive Inverse tells us that if we add
a number and the opposite of that number, the result will be 0.
Answer:
1. 15
2. 8
Step-by-step explanation:
The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)
The nth term of a GP is;
Tn = ar^(n-1)
Where;
a = first term
r = common ratio
For the first sequence;
The common ratio r is
r = T3/T2 = 540/90 = 6
r = 6
T2 = ar^(2-1) = ar
T2 = 90 = ar
Substituting the values of r;
90 = a × 6
a = 90/6
a = 15
First term = 15
2. The sam method applies here.
Common ratio r = T3/T2 = 128/32 = 4
r = 4
T2 = ar^(2-1) = ar
T2 = 32 = ar
Substituting the values of r;
32 = a × 4
a = 32/4
a = 8
First term = 8
Answer:
(-4,0) and (5,0)
Step-by-step explanation:
Factor.
f(x) = x^2 -x - 20
Factors of -20 that when are added they equal -1
-5 and 4
(x-5) (x+4)
x=5 and x=-4
46/100
The numeric value is in the hundredths to covert it to a fraction you'll need to keep the same value so the fraction will be 46/100
If you're looking to simplify the fraction will be 23/50