<h3>
Answer: x+3</h3>
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Explanation:
Use a graphing tool like Desmos to plot y = |x+3|
See below.
The graph is a V shaped figure. The vertex is at (-3,0). The interval x > 5 is entirely to the right of this vertex. So we only focus on the right hand side of the V shape.
The line making up this right hand side is the equation y = x+3
Therefore, if x > 5 then y = |x+3| becomes y = x+3
In short, we erase the absolute value lines.
Answer:
y = 5/4x
Step-by-step explanation:
The given line is written in slope-intercept form. In this form, the slope is the coefficient of x, -4/5.
The perpendicular line will have a slope that is the opposite reciprocal of this value:
-1/(-4/5) = 5/4
The simplest such line is the one that goes through the origin:
y = 5/4x
The surface area of the cylinder is given by:
S.A=2πr^2+πdl
hence, the s.a of our solid will be:
S.A.=2*π*1^2+π*2*16
=6.283+100.531
=106.814 sq. units
So if you want to long divide, make 3 into 3.00000. It's a very annoying process but you'll get there in the end. Here's the answer:
0.22239
Hope this helped!