Parent function = √x
On stretching vertically by factor of 6
New function G(x) = 6√x
You plug the x value into whichever function it applies to. X represents the number of shirts ordered. So for example, the first question asks the total cost if you order 57 shirts. Look at the piecewise function. If says is x>50 (or equal), you use the equation 14x + 20. 57 is greater than 50 so plug it into the equation. (14)(57) + 20 = 818. You should be able to do the rest now. If you have any more questions, you can ask.
The triangle given above is a scalene triangle as non of its given sides are equal. To determine the area of the triangle, we use the Heron's formula which is expressed as below,
A = sqrt ((s)(s - a)(s - b)(s - c))
where a, b, and c are the lengths of the sides and s is the semiperimeter ((a+b+c)/2)
The area of the triangle can also be computed through the equation, A = rs
where r is the radius of the inscribed circle. Equating both areas,
A = sqrt ((s)(s-a)(s-b)(s-c)) = rs
Divide the equation by s,
r = sqrt ((s)(s-a)(s-b)(s-c)) / s
Solving for s,
s = (12+14+16)/2 = 21
Substituting to the equation for r,
r = sqrt ((21)(21-12)(21-14)(21-16)) 21
r = sqrt 15
r = 3.87
<em>ANSWER: r = 3.87</em>
Answer:
43
Step-by-step explanation:
