Option A:

Solution:
Given data:
Center of the circle is (5, 3).
Radius of the circle = 4
To find the equation of the circle:
The general form of the equation of a circle in centre-radius format is

where (h, k) is the centre of the circle and r is the radius of the circle.
Substitute the given values in the equation of a circle formula:


The equation of the given circle is
.
Hence Option A is the correct answer.
Answer:
AB and CD are parallel lines
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are negative reciprocals
Calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)
m =
=
= 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m =
=
= 2
Since slope of AB and CD are equal then lines are parallel
Z = 3 (This equation is a given)
z(y) = 12 ( This equation is also given)
3y = 12 (as z = 3, plug 3 into z)
3y/3 = 12/3 (isolate the y by dividing 3 to both sides)
* you divide 3 to both sides because of the equal sign. What you do to one side you do to the other
y = 4 (answer for y)
y + 5 (what you are solving for)
(4) + 5 = 9 (As y = 4, plug in 4 for y in this equation)
y + 5 = 9 (4 + 5 = 9, or addition property)
9 is your answer
hope this helps
Answer:
2/3 of the class are girls.
Step-by-step explanation: