The dots are moving in a downward direction from left to right, so it is a negative trend.
Hello,
f(x)=2x^3-x^2-4x+9=(((0+2)x-1)x-4)x+9
f(3)=(((0+2)*3-1)*3-4)*3+9=((2*3-1)*3-4)-3+9=(5*3-4)*3+9=11*3+9=33+9=42
or
f(3)=2*3^3-3^2-4*3+9=2*27-9-12+9=54-12=42
Answer:
The distance from B to B' is 5 units
Step-by-step explanation:
The complete question is
Polygon ABCD is translated to create polygon A'B'C'D'. Point A is located at (1,5) and point A' is located at (-2,1). What is the distance from B to B'?
we know that
In a translation the figure maintains its dimensions and internal angles
so
AA'=BB'=CC'=DD'
The distance BB' is the same that the distance AA'
<em>Find the distance AA'</em>
the formula to calculate the distance between two points is equal to
we have
A(1,5),A'(-2,1)
substitute in the formula
therefore
The distance from B to B' is 5 units
Answer:
T = 60 degrees
Step-by-step explanation:
The dotted line is the height so it is a right angle
We are able to use trig functions since this is a right triangle
cos T = adj side / hyp
cos T = a/b
cos T = 8 sqrt(2) / 16 sqrt(2)
cos T = 1/2
Taking the inverse of each side
cos^-1 ( cosT) = cos^-1 ( 1/2)
T = 60 degrees
Answer:
x>10
Step-by-step explanation: