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:
12 years
Step-by-step explanation:
20-8=12
Micheal's babysitter is 12 years older than Micheal.
Answer:
$1.99 is more expensive.
Step-by-step explanation:
Given:
One type of lace edging cost $0.80 per foot
Another type of lace edging cost $1`.99 per foot.
We need to find which is more expensive.
In $0.88 where one's place is 0.
In $1.99 where one's place is 1.
By comparing the one's place obviously $1.99 more expensive.
Hope you will understand the concept.
Thank you.
(17*3) --- to find the total points of the 3 quizzes
17*3=51
the third quiz grade=51-14-19=18
hope this helps
Answer:

Step-by-step explanation:
Since MN and MP are tangent to circle O, they create 90° angles at the points of intersection.
We also know that this is a quadralateral, so the interior angles add up to 360.
We can make an equation with this information.


