Answer:
C.
Step-by-step explanation:
In compositional functions, you always take the function inside parentheses FIRST, inputting that into the second function for every <em>x</em><em> </em>visible.
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Answer:
The radius is r=5 units
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
where
(h,k) is the center and r is the radius
we have
Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
therefore
The center is the point (6,-3) and the radius is r=5 units
Ellipse area = PI * a * b
ellipse area = 3.14 * 8 * 7
ellipse area = 175.84
Answer:
t = 1 3/7 hours
Step-by-step explanation:
For plane 1
distance = rate *t
d1 = 40 *t
For plane 2
distance = rate * time
d2 = 100 * t
We know that d1+d2 = 200 (the planes will meet)
We know that the times will be the same because the leave at the same time.
Substitute in d1 =40t and d2 = 100t into d1+d2 = 200
d1+d2 = 200
40t + 100t = 200
Combine like terms
140t = 200
Divide each side by 140
140t/140 = 200/140
t= 200/140
t= 20/14
t = 10/7
t = 1 3/7 hours