Answer:
Step-by-step explanation:
Answer:
it's 2
Step-by-step explanation:
square root of 8 is 2
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
Answer: (3,2)
Step-by-step explanation:
For this set of system of equations, let's use elimination method to find x and y. Let's eliminate y first. In order to do so, the y values have to be the same. Therefore, you multiply the top equation by 3 and the bottom equation by 4.
9x+12y=51
-16x-12y=-72
Now, we can add the 2 equations together for the y to cancel out.
-7x=-21
x=3
Since we know x, we can plug it into any of the equations to find y.
3(3)+4y=17
9+4y=17
4y=8
y=2
With out x and y value, we can put them into an ordered pair. (3,2)