Answer:
The answer is
<h3>center = ( - 7 , - 1)</h3><h3>radius = 6</h3>
Step-by-step explanation:
The general equation of a circle is given by
<h3>x² + y² + 2gx + 2fy + c = 0</h3>
where the center of the center of the circle is given by
<h3>( - g , - f)</h3>
From the question the equation is
x² + y² + 14x + 2y + 14 = 0
Comparing with the general equation above we have
2g = 14 2f = 2
g = 7 f = 1 c = 14
So the center of the circle is
<h3>( - 7 , - 1)</h3>
The radius of a circle is given by

where
g = 7
f = 1
c = 14
Substitute the values into the above formula
That's

we have the final answer as
<h3>radius = 6</h3>
Hope this helps you
Using the Pythagorean theorem:
c = sqrt(8^2 + 7^2)
c = sqrt(64 + 49)
c = sqrt(113)
c = 10.6
<span> Here are the steps, you fill in the missing parts.
A. The given ratio is:
2 adults per 9 students or the fraction 2/9
Now put that fraction 2/9=x/171 in other words, how many adults (x) for 171 students?
can you cross multiply and get 9x=342
and solve for x?
How you have the number of students and the number of adults.
B. for food multiply $6 times the total number of people.
C. for tickets multiply 4.50 times the student number and
7.50 times the adult number.
D. for the bus parking fee multiply .04 times you total answer in part C.
Now add up the food, tickets, bus parking and I think you have what Mr. Williams has to budget. </span>
Answer:
Step-by-step explanation:
Let the 3 consecutive odd numbers be n, n+2, n+4.
(n+2) + (n+4) = 3n - 9
Collect like terms
n+n-3n=-9-6
-n=-15
n=15,
n+2=17
n+4=19
Answer:
a, 6.63324958....
Step-by-step explanation: