So You Can do 20 Ft Minus 100 Because 100 is the Total so Heres a Graph To Show You
Total= 100 Ft
Width= 20
Length=?
Total - Width = Length
100 - 20 = 80 Length Of the Garden
Answer:
{2, 6}
Step-by-step explanation:
Subset: A subset is a set of which all the element are contained or can be find in the universal set.
From the question above,
μ = {1,2,4,5,6}
* The first option {0,1,2} is wrong because 0 is not contained in the universal set.
* The second option {3,4} is wrong because, 3 is not contained in the universal set.
* The third option {5,6,7} is wrong because 7 is not contained in the universal set.
* The last option {2,6} is correct because all of the element of the set are contained in the universal set, and as such makes it a subset.
Hence the subset of {1,2,4,5,6} is {2, 6}
The third option should be correct\
A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:
y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)
In this case we are given that (h,k) is (-5,80) so we have so far:
y=a(x--5)^2+80
y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:
-45=a(0+5)^2+80
-45=25a+80 subtract 80 from both sides
-125=25a divide both sides by 25
-5=a, so now we know the complete vertex form is:
y=-5(x+5)^2+80
The x-intercepts occur when y=0 so:
0=-5(x+5)^2+80 add 5(x+5)^2 to both sides
5(x+5)^2=80 divide both sides by 5
(x+5)^2=16 take the square root of both sides
x+5=±√16 which is
x+5=±4 subtract 5 from both sides
x=-5±4 so the x-intercepts are:
x=-1 and -9