Hello,
y=x²-x-2=x²-2*1/2*x+1/4-2-1/4=(x-1/2)²-9/4
1. Vertex=(1/2,-9/4)
2. if x=0 then y=0²-0-2=-2
3.The roots:
x²-x-2=0
==>(x-1/2)²-9/4=0
==>(x-1/2-3/2)(x-1/2+3/2)=0
==>(x-2)(x+1)=0
x=2 or x=-1
4. axe of symmetry: x=1/2
Answer: Let x = the length of a side of the square
a2 + b2 = c2
x2 + x2 = 102
2x2 = 100
x2 = 50
x = √50
x = 5√2 cm
Step-by-step explanation:
Answer:
an=a1(r)^(n-1)
a1=first erm
r=common ratio
firs term is -5
we times each term by 5 to get next term so r=5
is the explicit formula
hope this helped
Step-by-step explanation:
Length of tennis court, L = 78 ft
Width for single matches, Bs = 3/4 * 36
= 27 ft
Width for double matches, Bd = 36 ft
Single matches:
Area of rectangle = L × B
= 78 * 27
= 2106 ft^2
Perimeter = 2 * (L + B)
= 2*105
= 210 ft.
Double matches:
Area of rectangle = L × B
= 78 * 36
= 2808 ft^2
Perimeter = 2 * (L + B)
= 2*114
= 228 ft.
Hello! The answer to your question is 14.
-Happy Studies!