What we know:
shape is rectangle which means the 2 long sides have equal distance and the 2 short sides have equal distance
we just need to find the distance of one long side and one short side for the perimeter which is the outline of the rectangle. Imagine the perimeter is the fence around the rectangle that you would probably have to paint every 3 years and the area would be where the grass would grow in the rectangle which you would probably have to cut every weekend.
perimeter=2l+2w
What we need to find: PERIMETER
Using pythagorean method a² +b²=h² to find length:
From point (-6,1) to point (3,8) is a rise of 9 and a run of 9 right to get from one point to another, those are my a and b in the pythagorean formula.
a² +b²=h²
(9)²+(9)²=h² substitution
81+81=h² simplified
162=h²
√162=√h2 used radical properties
√162=h length =√162
Using pythagorean method a² +b²=h² to find width:
From points (-6,-1) to point (-3,-4) is a down 3 units and left 3 units to reach from one point to another, these are my a and b for the pythagorean formula.
a² +b²=h²
(3)²+(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h this is the width=√18
Now we find perimeter:
p=2l+2w
p=2(√162)+2(√18)
p≈33.9
D. 33.9 units
Solving equations with a variable on both sides requires multiple steps.
Let's look at how to solve one using properties step by step.
Example 1: 100 - 4x = 16x
Step 1: In the above equation, the first step is to identify the
variable. Clearly, it is x but the variable exists on both sides of the
equal sign.
Step 2: To simplify it, we can use the
properties of equality (addition and multiplication property of
equality) which says that if we perform an operation on one side, the
same should be done on the other side of the equal sign so that the
equation is balanced.
Using the addition property of equality, let's add 4x to both sides, we get.
100 - 4x + 4x = 16x +4 x
which equals, 100 = 20x
Now, dividing both sides by 20, we get
x = 5
For more complex equations, the usage of distributive property of
multiplication might be needed to isolate the variable and simplify.
Diagrammatic representation of the summarized box plot is attached below :
Answer:
Range = 20
Median = 8
Step-by-step explanation:
The median value of a box plot is obtained at the point where a vertical line divides the box into two parts. In the boxplot Given the median of the representation is 8. This is the point where the vertical line divides the box.
The range of the distribution is the difference between the maximum and minimum value :
Minimum (starting point of whisker) = 5
Maximum (end point of whisker) = 25
Range = 25 - 5 = 20