Answer:
Translation 1 unit left
Step-by-step explanation:
we have
f(x)=x
g(x)=(x+1)
we know that
The rule of the transformation of f(x) to g(x) is equal to
f(x) ------> g(x)
(x,y) -----> (x-1,y)
That means----> The translation is 1 unit to the left
Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices
is given by the determinant of the following matrix:

In this question:
Vertices (3,0) (9,0) (7,6). So




The area of the triangle is of 21 units of area.
Answer:2n + 8 = n-3
Step-by-step explanation:
Answer:
at 2/3 seconds
Step-by-step explanation:
S1(t) = t³ + 2
Average speed, dS1/dt = 3t²
S2(t) = t²
Average speed, dS2/dt = 2t
The distance between the objects is
dS1/dt - dS2/dt
= 3t² - 2t
The time the distance between the two object is at minimum is when the distance is 0
That is, when
3t² - 2t = 0
t(3t - 2) = 0
t = 0 or 3t - 2 = 0
t = 0 or t = 2/3
R=6 & s=1/4
Just plug that in to the equation.
6+1/4 +14(1/4)
6.25 +3.5
9.75 or 39/4