Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function

This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so

Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to

substitute the given values

see the attached figure
Answer:
V = 576 pi cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi * (6)^2 * 16
V = pi *36*16
V = 576 pi cm^3
Answer:
1/7
Step-by-step explanation:
There are 52 weeks in a year. Each have one Monday. Leap years have a total of 366 days. There are 7 days of the week. Monday is one of them, so it'll be a 1/7 chance.