You simplify a fraction by finding it's greatest common factor. A greatest common factor is what both numbers are divisible by. If they can both be divided by two, then you've simplified them a little bit. Keep going until you can't find a common number that can be divided by the two, and you've got your simplified fraction. For example, 10/5 = 1/2 since both 10 and 5 is divisible by 5.
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:
x = 0.954
Step-by-step explanation:
We apply pythagorean to find x
(4-x)² = 1.2² + 2.8²
(4-x)² = 9.28
✓(4-x)² = ✓(9.28)²
4 - x = 3.046
- x = 3.046 - 4
- x = -0.954
x = 0.954
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The GCF of 30, 48, and 60 is 6.
Answer:
D
Step-by-step explanation:
