The solution to your problem is m>-2
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:
-2 and 2
Step-by-step explanation: just did the problem
<h2>Verbal Phrase to Mathematical Phrase</h2><h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
Let that number be
.
The quotient of a number and
is
.
"Increased" is just another term for "plus (+)" so
increased by The quotient of a number and
is 
And it tells us that it is
so it must be 
Answer:
2
Step-by-step explanation:
(x)(y) = k Inverse relationship
(4)(3) = k
12 = k
(6)(y) = 12
y = 2