Answer:
Step-by-step explanation:
The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation
and h and k are the coordinates of the vertex. Filling in:
which simplifies to
choice C
Answer:
The jeweler made 9 necklaces.
The jeweler made 8 bracelets.
Step-by-step explanation:
x = number of bracelets
y = number of necklaces
17 = x + y
238 = 5x + 22y
Make one of the coefficients, x, the same.
17 = x + y
Multiply this equation by 5.
85 = 5x + 5y
Subtract the equations to get rid of x.
(238 = 5x + 22y) - (85 = 5x + 5y)
(5x - 5x) + (22y - 5y) = 238 - 85
22y - 5y = 238 - 85
17y = 153
y = 153/17 = 9
The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.
17 = x + y
17 = x + 9
17 - 9 = x
x = 8
238 = 5x + 22y
238 = 5x + 22(9)
238 = 5x + 198
238 - 198 = 5x
40 = 5x
x = 40/5
x = 8
The jeweler made 8 bracelets.
<span> a) F' = 6 sin(x^2) = 0
x^2 = pi
x = sqrt(pi)
b) Fmax = F(1) + integral [1, pi] f(x) dx = 9.7743 </span>
Answer:
6 ft
Step-by-step explanation:
The surface area of a cube is given by
SA = 6s^2
216 = 6s^2
Divide each side by 6
216/6 = 6s^2/6
36 = s^2
Take the square root of each side
sqrt(36) = sqrt(s^2)
6 =s
Each side is 6ft
