Answer:
see explanation
Step-by-step explanation:
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 + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = = 3
this is shown in graph b
Answer:
A dashed line
Step-by-step explanation:
The end points of the line for the inequality would not be included since y is only greater, not greater than or equal to.
This is a question that will require Pythagoras' theorem as you want to find the length of a diagonal of a triangle and are given the measurements of two sides. I have attached a picture of how to solve this problem.
To the nearest 10th of a foot, the answer is 77.6ft
Helping hand read the hint it is 32.48
Answer:
$10.44
Step-by-step explanation:
9(0.16)
1.44
9+1.44
10.44
Hope this helps
Btw I got .16 because in order to get a decimal you move the decimal place two to the left. And in this case the 16 has an imaginary decimal after it. Like so 16. So two to the left. .16