Answer:
Step-by-step explanation:
A. Directrix: y = 4-6 = -2
:::::
B. Axis of symmetry: x = 6
Axis of symmetry intersects directrix at (6,-2)
:::::
C . Vertex is halfway between focus and directrix, at (6,1)
:::::
D. The focus lies above the directrix, so the parabola opens upwards.
:::::
E. Focal length p = 1/(4×0.5)
:::::
F. p = 0.5
::::
G. y = 0.5(x-6)² + 1
Answer:
1 1/3
Step-by-step explanation:
hope this helps!! : D
Answer:
$41.0625
Step-by-step explanation:
Divide $054.75 by 4
Multiply the answer to that (13.6875) by 3 or subtract 054.5 by 13.6873
The answer to that step is your answer.
Answer:
see below
Step-by-step explanation:
sin x 1
------------------- = -----------
sec^2 x - tan ^2 x csc x
Sec = 1/cos and tan = sin/cos
sin x 1
------------------- = -----------
1/ cos ^2 x -sin^2/cos ^2 x csc x
Factor the denominator
sin x 1
------------------- = -----------
(1-sin^2 x)/ cos ^2 x csc x
We know that 1 - sin^2 x = cos ^2
sin x 1
------------------- = -----------
(cos^2 x)/ cos ^2 x csc x
sin x 1
------------------- = -----------
1 csc x
Multiply the top and bottom of the left hand side by 1/ sin x
sin x * 1/ sin x 1
------------------- = -----------
1 * 1 sin x csc x
1 1
------------------- = -----------
1 sin x csc x
We know that 1/sin x = csc
1 1
--------- = -----------
csc (x) csc x
If we know that Pedro bought 1
pounds of red sand, and 5
pounds of brown sand, and they both cost $4.60, then we just have to add the individual amounts of sand, since they cost the same.
So Pedro bought
lbs of sand overall. Now, we just need to multiply the cost per pound by the total amount of sand he bought.
Pedro spent $31.05 on sand, which is answer choice B.
Hope that helped =)
