The diagram below shows the dimensions of a rectangular house with a rectangular backyard. What is the total area, in square fee
t, of the house and backyard?
1 answer:
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Answer: The answer to your question is 6
Step-by-step explanation:
To solve this problem we will use proportions. We will compare the largest right triangle and the medium size triangle.
Medium triangle Large triangle
hypotenuse y 9 + 3
adjacent size 9 y
- Write the proportions
y/9 = (9 + 3)/y
-Solve for y
y² = 9(12)
y² = 108
y =
-Find the prime factors of 108
108 2
54 2
27 3
9 3
3 3
1
then, 108 = 2² 3³
-Expressthe root as fractional exponents
2²/² 3²/² 3¹/²
-Simplification
2(3)(3)¹/²
-Result
6
The linear function is a function that has a straight line when plotted on a
graph.
<h3>The correct option;</h3>- The table of ordered pairs that represent a linear function is the option; <u>x/y -8/-7 0/0 8/7 16/14</u>
<u />
<h3>Reasons why the above selection is correct:</h3><h3 /><h3>Given;</h3>The given data can be presented as follows;
x/y -8/22 0/1 8/22 16/102
x/y -8/-7 0/1 8/9 8/2
x/y -8/-7 0/0 8/7 16/14
x/y -8/-7 0/1 8/5 16/4
<h3>Representation of the options in tabular form;</h3>In a tabular form, we have;
In a linear function, when the x-values have a constant rate of increase the
first difference in the y-values is constant.
<h3>Selection of the table representing a linear function;</h3>The option that have constant first difference along with a constant rate of
increase in the x-value is the option with the following table;
, which is the option x/y -8/-7 0/0 8/7 16/14
Learn more about linear functions here: