Y=2(-1)^2-6(-1)+3
y=2+6+3
y=8+3
y=11
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.
The answer is: y= 2/3x +5
We know that
step 1
if ∡YWZ=17°
then
∡XWZ=17°*2-----> 34°----> because triangle XWY and triangle YWZ are congruents
step 2
∡WXY=∡WZY-------> because triangle XWY and triangle YWZ are congruents
we know that
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
180°=∡XWZ+2*∡WXY---------> ∡WXY=[180-∡XWZ]/2
∡WXY=[180-34°]/2-------> ∡WXY=73°
the answer is
∡WXY=73°
Travel distance by light in a second = 3*10^5 kms
Travel distance by light in 60 seconds =
3*10^5 * 60
180 * 10^5
1.8 * 10^7 kms
