Answer:
D -24/25
Step-by-step explanation:
sin(2x) = 2sin(x)cos(x)
cos(x) = ⅘
sin²(x) = 1 - cos²(x) = 1 - (⅘)²
sin²(x) = 9/25
sin(x) = -⅗
(Because 4th quadrant)
sin(2x) = 2(-⅗)(⅘)
= -24/25
Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are
and 
Plug in the given points (4, -6) and (0, 2):

Therefore, the slope of the line is -2. Plug this into
:

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into
:

I hope this helps!
Answer:
The allowable lengths of pipe is from 21.78 inch to 22.22 inch.
Step-by-step explanation:
The length of the each pipe in the shipment = 22 inch
The variation in the length of pipes = 1%
⇒The allowable length of pipe in the inspection = 22 inch ± 1%
Now, 1% of 22 = 
So, 22 inch + 1% = 22 inch + 0.22 = 22.22 inch
and 22 inch - 1% = 22 inch - 0.22 = 21.78 inch
⇒ 22 inch ± 1% = 22.22 inch and 21.78 inch
Hence, the allowable lengths of pipe is from 21.78 inch to 22.22 inch.
Set it up as an equation. "A number" is x.
2x-2=x+64
Move all of the x terms to one side by subtracting x from both sides, then add 2 to both sides to isolate x.
X=66
The number is 66