Center is (3, -4) and radius is 1
Step-by-step explanation:
- Step 1: Find center and radius of the circle with equation x² + y² - 6x - 8y + 24 = 0
The standard form of the equation of a circle is x² + y² + 2gx +2fy + c = 0, where center is (-g, -f) and radius = √g² + f² - c
By comparing the 2 equations, 2g = -6, 2f = 8 and c = 24
⇒ g = -6/2 = -3
⇒ f = 8/2 = 4
⇒ c = 24
Center = (-g. -f) = (3, -4)
Radius = √g² + f² - c = √3² + (-4)² - 24
= √9 + 16 - 24 = √1 = 1
Answer:
(
1.17
3
, 4.6
)
Step-by-step explanation:
100÷11=9.09090909
converting it it will be 9.1 miles per hour
4z+2(z-4)=3z+11 perform indicated multiplication on left side
4z+2z-8=3z+11 combine like terms on left side
6z/-8=3z+11 add 8 to both sides
6z=3z+19 subtract 3z from both sides
3z=19 divide both sides by 3
z=19/3
z=6 1/3
So there is only one solution when z=6 1/3