Answer:
4, 6 and 8
Step-by-step explanation:
The perimeter is the sum of the lengths of the 3 sides, hence
2x + 3x + 4x = 18
9x = 18 ( divide both sides by 9 )
x = 2
The 3 sides have length
2x = 2 × 2 = 4
3x = 3 × 2 = 6
4x = 4 × 2 = 8
Answer:
The correct option is 1.
Step-by-step explanation:
The given parent function is

1. Domain of the function is all positive real number including 0.
2. Range of the function is all positive real number including 0.
3. It is an increasing function. It increases at decreasing rate.
First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.
Second graph is a parabola, so it is the graph of a quadratic function.
Third graph is a rectangular hyperbola, so it is the graph of a rational functions.
Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.
Therefore options 2, 3 and 4 are incorrect.
It took me awhile but I got it
m= -2/7
b=5 5/7
or
y=-2/7x+5 5/7
Answer:
a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }
b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }
Step-by-step explanation:
a) As P(0) is true
we will assume that
- P(2) is true
- P(4) is true
- P(6) is true
this simply means that ; P(n) is true for all 'n' in the set
{ 0,2,4,6,8 ….. }
b) since P(0) and P(1) are true
we will assume that
also P(1) and P(2) are true
we will assume that
Also from the previous answers it can be seen that P(2) + P(3) is true
we will assume
This simply means that P(n) is true for all 'n' in the set
{ 0,1,2,3,4,5 ............ }
Answer:
Area of given figure = 96 unit²
Step-by-step explanation:
Given:
Length of shape = 4 unit
Width of shape = 4 unit
Height of shape = 4 unit
Find:
Area of given figure
Computation:
All side of figure all equal
So,
Given figure is a cube
Number of faces of cube = 6
Area of base = side x side
Area of base = 4 x 4
Area of base = 16 unit²
Area of given figure = Area of base x Number of faces of cube
Area of given figure = 16 x 6
Area of given figure = 96 unit²