Answer:
B. g(x) = (x + 4)²
Step-by-step explanation:
f(x) = x²
And since graph g(x) is f(x) moved 4 points along x-axis and to the right,
g(x) will be equal to (x + 4)²
g(x) = (x + 4)²
Answer:
16 rides
Step-by-step explanation:
80 tickets divided by 5 tickets/1 ride = 16 rides
Answer:
Step-by-step explanation:
complete the square:
Take a quadratic equation : ax²+bx+c and turn it to
a(x+d)²+e
d=b/2a and e=c-b²/4a
y=x^2 - 14x + 48
a=1 , b=-14 , c=48
d=-14/2=-7
e= 48-14²/4
e= 48-49
e=-1
complete the square for y=x²-14x+48
y= (x-7)²-1
Step One
Find the area of the rectangle
Area = L * W
Area = 89 cm * 70 cm
Area = 6230 cm^2
Step Two
What is the formula for the two end semicircles?
Two semicircles = 1 whole circle
Area of any circle = pi * r^2
Step Three
Find the area of the circle
r = the width / 2 This may not be true. You need the diagram. If the circles are drawn on the length then use r = the length / 2
r = 70/2 = 35 cm
Area of circle = pi * r^2
Area of circle = 3.14 * 35^2
Area of circle = 3846.5
Step Four
Find the total area
The total area = Area of the rectangle + area of circle
The total area = 6230 + 3846.5
The total area = 10076.5 cm^2 <<<< Answer
Answer:
The quadrilateral ABCD is a square.
Step-by-step explanation:
According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that
,
,
,
,
,
and
, the lengths of each line segment are respectively:
Sides








Diagonals




This information indicates that this quadrilateral is a square because of these characteristics:
1) All sides have the same length.
2) The ratio of any diagonal to any side is
.