Sorry I can't do number six, but the answer to number five should be ≈24.01 using the cosine ratio.
$6.95 each... just divide 83.40 and 12 and you got the answer :)
Yeah Yuh need 2 add all of that up
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:
Step-by-step explanation:
Using the same-side interior angles theorem, .
Using the alternate interior angles theorem,