Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Obviously, it's not rational, because it's the sum of two square roots, so cancel out A and B right away.
If we solve it
sqrt (18) + sqrt (2)
= sqrt (9*2) + sqrt (2)
= 3 sqrt (2) + sqrt (2)
= 4 sqrt (2)
D :D
Answer:
<em>l</em> = 1 5/16
w = 1/16
A = 21/16 x 1/16 = 21/256
Step-by-step explanation:
Perimeter = 11/4
<em>l</em> = length
w = <em>l</em> - 5/4
2<em>l</em> + 2(<em>l</em> - 5/4) = 11/4
2<em>l</em> + 2<em>l</em> - -5/2 = 1/4
multiply each side by 4
8<em>l</em> + 8<em>l </em>- 10 = 11<em> </em>
16<em>l</em> = 21
<em>l</em> = 21/16 or 1 5/16
width = 21/16 - 20/16 = 1/16
Answer:
sin 63° = a / 10
Step-by-step explanation:
With reference angle A
Sin A = BC / AB
Sin 63° = a / 10
Hope it will help :)
