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:
The answer to your question is: x = 1, y = 4
Step-by-step explanation:
I'll change decimals to fractions
4.5 = 9/2
12.5 = 25/2
3.25 = 13/4
0.75 = 3/4
-9/2 x - 2 y = - 25/2 (I)
13/4 x - y = - 3/4 (ll)
Process
from (II) y = 13/4x + 3/4
Sunstitution -9/2x -2(13/4 x + 3/4) = - 25/2
-9/2 x - 13/2 x - 3/2 = -25/2
Multiply by 2 -9 x - 13 x - 3 = -25
-22 x = -25 + 3
-22 x = -22
x = 22/22
x = 1
y = 13/4 (1) + 3/4
y = 16/4
y = 4
Answer:
The length of the angle bisector of angle ∠A is 6.01.
Step-by-step explanation:
It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.
Using pythagoras theorem
Bisector divides the angle in two equal parts, therefore,
In triangle ACD.
Therefore the length of the angle bisector of angle ∠A is 6.01.
Answer:
the angles always equal 180
Step-by-step explanation:
5/2 - 1/3 = 1/3y
I would convert the denominators to 6 to make this easier like this
15/6 - 2/6 = 2/6y
Now you can subtract easily like so
13/6 = 2/6y
Now divide
y = 13/6 divided by 2/6
To divide fractions do keep (numbers) change (sign) and flip (numbers)
y = 13/6 x 6/2
Now multiply:
78/12 = 6 1/2 = 6.5
y = 6.5 is your final answer!
