Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer: K = -14
Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable
Answer:
194.8 miles
Step-by-step explanation:
510 - 315.2 = 194.8
Hope this helps!
Writing an equation would be most helpful, but depending on the situation drawing a diagram or reading a table could work better.
Answer- 6.25 Your welcome.
