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:
No
Step-by-step explanation:
Let's use the Pythagorean Theorem. For those of you that don't know, it is
.
11 is the bigger side in this case, so our formula would go like this:
.
We now calculate to see if this is true.
25 + 36
121
Therefore, the answer is wrong.
4•(-24)-3 You don't need any parenthesis because it's order of operations
Answer:
I think the answer is C
Step-by-step explanation:
Answer:
4.
Step-by-step explanation:
I will have one real root = fifth root of 3.
As it has a total of 5 roots ( By the Fundamental Theorem of Algebra) then it must have 4 complex roots.