Answer:
see explanation
Step-by-step explanation:
The perimeter is the length of all the sides in the figure.
The arc of the semi- circle is included in this.
length of arc = 
πd ← d is the diameter
here d = 8, hence
arc = π × 8 = 4π ← exact length
Perimeter = 10 + 8 + 10 + 4π ≈ 40.57 in ( nearest hundredth )
Yes; if you look at both terms, they both have a common factor of 3x, therefore, this expression can be simplified as 3x(5x-9).
540 ft^2 because 90x6=540 2 yards = 6 feet
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Find the y-intercept (which is b) ; Perpendicular to y = 3x - 1 (which has the negative reciprocal of the slope) ; passes through (6, -16) which will help us find b :)
Our first step is to locate the slope, which is "m" in slope intercept form.
As you can see, we are given an equation that is already in slope intercept form, so simply locate "m"
y = 3x - 1
Slope 1 = 3 (as it is in the "m" spot)
Slope 2 = -1/3 (as it is the negative reciprocal)
Now that we have our slope, plug in the slope (-1/3) and (6, -16) into our new slope intercept equation so that we can find the value of "b" which is our y-intercept.
y = mx + b
(-16) = -1/3(6) + b
Simplify.
-16 = -2 + b
Add 2 to both sides.
-16 + 2 = b
Simplify.
-14 = b → Therefore, our y-intercept is -14 → THAT IS OUR FINAL ANSWER - however, if you'd like to know the final equation including the y-intercept, here it is :)
Now that we have all of the needed information, simply plug everything in! :)
**Remember : m = -1/3 ; b = -14
y = mx + b
y = -1/3x - 14
~hope I helped!~
