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:
5, 2x2 and 4
Step-by-step explanation:
Terms are expressions or characters that are separated by a plus or minus sign.
therefore, the terms are 3x, 5, 2x2 and 4
like terms have the same have the same variables or no variables attached to them.
like terms = 5, 2x2, and 4
Note: 2x2 = 4
Answer:
Thr answer will be -9
Divide each term by -7 and simplify
Use desmos it could probably help you.
There were 100 total students surveyed.
There are 41 freshman students that have an ATM card.
The probability is the number of freshman that have an ATM card over the total number of students.
The probability becomes 41/100
Now divide the fraction to get the decimal answer:
41/100 = 0.410
