A regular hexagon can be split into 6 congruent equilateral triangles.
the area of an equilateral triangle is √3*s²/4, where s is the side length
Area of the hexagon
= 6*√3*8²/4
= 96√3 square centimeters
The first thing we must do in this case is to define the variables.
We have then:
v: the value of the bicycle
t: years
The standard equation of the line is:
v-vo = m (t-to)
The slope is:
m = (v2-v1) / (t2-t1)
Substituting values:
m = (640-850) / (3-0)
m = -70
We choose an ordered pair:
(to, vo) = (0, 850)
Substituting values:
v-850 = -70 (t-0)
Rewriting:
v = -70t + 850
Answer:
assuming it decreases in value by the same amount each year, a linear equation for the value of the bicycle, v, when it is t years old is:
v = -70t + 850
Answer:
Volume increasing rate =
Explanation:
We rate of change of radius of sphere,
Diameter of sphere = 100 mm
Radius of sphere = 50 mm
Volume of sphere, V =
Rate of change of volume =
Substituting known values
Volume increasing rate =
Answer:
The bottom two
Step-by-step explanation:
Units of time should always be on the x-axis, otherwise a positive graph would mean a drop in the opposing y-axis unit.
Inverse functions are one-to-one and reflect over the line y = x
C. It does not go through the origin