The area and the perimeter of the rectangle FROG is evaluated as:
For a rectangle with length and width L and W units, we get:
The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
The coordinates of the points of the rectangle FROG are given as:
F(-2,5), R(-2,1), G(6,5), and O(6,1) (from its plot, as given below)
FR and RO are length and width pair(we can call any one of them as length and other as width) of the considered rectangle as they are adjacent to each other.
We denote length of a line segment AB by |AB|
Thus, we get:
Now with the help of length and width, we can evaluate its perimeter and area, as shown below:
Learn more about distance between two points here:
Answer:
Part 1) The perimeter of rectangle is equal to 24 units
Part 2) The area of rectangle is equal to 32 square units
Step-by-step explanation:
Part 1) Find the perimeter of rectangle
we know that
The perimeter of rectangle is equal to
where
L is the length of rectangle
W is the width of rectangle
we have
Plot the figure to better understand the problem
using a graphing tool
see the attached figure
Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees
so
the formula to calculate the distance between two points is equal to
step 1
Find the distance FG
substitute the values
step 2
Find the distance RF
substitute the values
step 3
Find the perimeter
we have
substitute
Part 2) Find the area of rectangle FROG
we know that
The area of rectangle is equal to
we have
substitute
Answer: The fraction of the squares that are not colored is
Step-by-step explanation: Given that Karen colors are n squares on a grid, out of which she colored of the squares blue and of the squares red.
We are to find the fraction of the squares that are not colored.
Total number of squares = n.
Number of squares that are colored blue is given by
and the number of the squares that are colored red is given by
So, the total number of squares that are colored will be
Therefore, the number of squares that are not colored is
Thus, the fraction of the squares that are not colored is
A.
5
B.
6.4
C.
6.8
D.
25
An absolute value function has a graph that is V shaped.
The domain is the input (x) value, which can be any real number, so the domain is (-∞,∞)
The range starts at the vertex and goes to infinity.
To find the vertex, set the absolute value part of the equation to 0 and solve for x:
x+3 = 0. x = -3
Now replace x with -3 and solve the full equation:
|-3 +3|-1 = -1
The vertex becomes (-3,-1)
The range is the output value ( Y) , so the range would be [-1,∞)
See attached picture for graph:
Answer:
The graph would be something like this.
Step-by-step explanation:
The domain and range would be (-∞, +∞)
This is because, the function f(x) is valid for any of the values between (-∞, +∞)
Hope it helps.