Answer:

Step-by-step explanation:
<em>See attachment for complete question</em>
Given



Required
Determine the length of VW
Perimeter is calculated as:

This gives:

Substitute values for VW, VY and Perimeter

Collect Like Terms


Divide through by 2

Collect Like Terms




Substitute 6 for x in 



Answer:
The answer is in the above attachment.
Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
The number of calories per ounce of soda is 10
<h3>Part A: Represent the relationship between the number of calories and the number of ounces</h3>
The given parameters are:
Calories = 50
Ounces = 5
Let the number of calories be y and the ounces be x.
So, we have:
y = kx
Substitute y = 50 and x = 5
50 = 5k
Divide by 5
k = 10
Substitute k = 10 in y = kx
y = 10x
See attachment for the graph of the relationship between the number of calories and the number of ounces
<h3>Part B: What is the number of calories per ounce of soda?</h3>
In (a), we have:
k = 10
This means that the number of calories per ounce of soda is 10
<h3>Part C: How does the unit rate relate to the slope of the line in the graph above? </h3>
The unit rate and the slope represent the same and they have the same value
Read more about linear graphs at:
brainly.com/question/4025726
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