Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Given
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r = 
= 10
Log base 3 of 4 + log base 3 of 11= log base 3 of 4•11; Answers is 11
Answer:
product one; it has a higher success rate
Step-by-step explanation:
to find out which has a higher rate of success we can find out their percentage of success
we can divide their success amounts by test amounts
950 / 1000 = 95/100 = 95%
150/200 = 75/100 = 75%
product 1 has a higher success rate
Answer:
Step-by-step explanation:
we know that
The diameter divide a circle into two equal parts
so
The measure of arc FAC is equal to 180 degrees (Remember that a complete circle subtends a central angle of 360 degrees)
we have that
---> given problem
----> by central angle
----> given problem
so
therefore
----> by angle addition postulate
substitute
Answer:
x^2 + x - 72 = 0
Step-by-step explanation:
x(x + 1) = 72 should be re-written in the standard form of a quadratic:
x^2 + x - 72 = 0. Same as the first answer choice.
