Answer:
Step-by-step explanation:
A. Write an equation to represent this direct variation. Make sure to define your variables.
We define the variables:
P = perimeter
L = sides of the square
The equation that represents this proportional variation is:
P = 4L
B. In complete sentences, use a specific example to justify your equation from part A. Include a drawing in your answer.
Example: consider a square of sides 4 units. Find the perimeter.
The perimeter of the square can be found in two ways:
Way 1:
P = 4 + 4 + 4 + 4 = 16
Way 2:
Using equation of part A:
P = 4L
P = 4 * (4)
P = 16
Note: see attached image.
Answer:
Final cost = £779
Step-by-step explanation:
It is given that:
Cost of summer holiday = £650
Amount increased by 11%
Increased cost = 11% of 650
Increased cost =
Increased cost = 0.11 * 650 = £71.50
Amount after increment = 650 + 71.50 = £721.50
Further increase = 8%
Amount = 0.08 * 721.50 = £57.72
Final cost = 721.50 + 57.72 = £779.22
Thus,
Final cost = £779
Given vertices ofQuadrilateral RSTU as R(1,3), S(4,1), T(1,-3) and U(-2,-1).
We need to check if diagonals are congruent.
The coordinates of verticales diagonal RT are R(1,3) and T(1,-3).
The coordinates of verticales diagonal SU are S(4,1), and U(-2,-1),
By applying distance formula:
RT = =
RT = 6
SU .
.
Diagonal RT is not congruent to Diagonal SU.
Therefore, Quadrilateral RSTU is not a rectangle because the diagonals are not congruent.
So, it is False.