Answer:
A (point) is the answer to the question.
Answer:
25x^2 - 16y^2 - 400 = 0
Step-by-step explanation:
Length of rectangle is 1 unit
<u>Solution:
</u>
Given that
Length of a rectangle is width minus 8 units.
Area of rectangle = 9 square units
Need to calculate the length of rectangle.
Let us assume width of rectangle = x
As Length is width minus 8,
Length of the rectangle = x – 8
As given that area of rectangle = 9 square units
On solving above quadratic equation for x, we get
When 
When 
As width cannot be negative, so considering x = 9
Hence, Length of rectangle is 1 unit.
The inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10
<h3>Graph of Inequality</h3>
From the question, we are to determine the inequality that represents the graph
First, we will assume the inequality is a straight line and we will determine the equation of the line
From the graph, we have two points on the line
(0, -2) and (5, -1)
Using the formula for the equation of a line with two given point
(y - y₁)/(x -x₁) = (y₂ - y₁)/ (x₂ - x₁)
x₁ = 0
y₁ = -2
x₂ = 5
y₂ = -1
Thus,
(y - -2)/(x - 0) = (-1 - -2)/ (5 - 0)
(y +2)/(x - 0) = (-1 + 2)/ (5 - 0)
(y +2)/(x ) = 1/ 5
5(y + 2) =1(x)
5y + 10 = x
5y = x - 10
y = 1/5(x) - 2
y = x/5 - 2
Now,
Since the solution is below the line and the line is dotted
The inequality becomes
y < x/5 -2
OR
5y < x - 10
Hence, the inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10
Learn more on Graph of Inequality here: brainly.com/question/17106134
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You can add 4/9.
A simple trick is to look at the numerator and denominator separately, if they're both perfect squares then you're good (4, 2^2, check. 9, 3^2, check.)
