The center of the circle is (0,2) and the radius is 5 units
<h3>How to determine the radius and the center?</h3>
The equation is given as:
x² + (y-2)² =25
The equation of a circle is given as:
(x - a)² + (y - b)² = r²
Where:
Center = (a,b)
Radius = r
By comparison, we have:
(a,b) = (0,2)
r² = 25
Evaluate
r = 5
Hence, the center of the circle is (0,2) and the radius is 5 units
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Hello :
<span>1.5x - 3y = 6
3y = 1.5x - 6
y = (1.5x - 6)/3</span>
The scale factor of two means you need to multiply the original length by 2:
9 x 2 = 18
The new length would be 18 cm.
Answer:
132 children and 88 adults
Step-by-step explanation:
let x represent the amount of kids and y represent the amount of adults.
since the problem says there was a total of 220 people at the fair an equation can be made
x+y=220
the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:
1.5x + 4y = 550
using the equations we can make this systems of equations:
1.5x + 4y =550
x + y =220
solve the systems of equations by subracting y on both sides of th bottom equation:
x=220-y
since x is equivant to 220-y it can be substitued for x in the first equation to make this:
1.5(220-y)+4y =550
--solve for y--
y=88 - there were 88 adults
substute 88 for y in the second equation
x+88=220
--solve for x--
x=138 - there were 132 children