HURRY PLEASEEEEE The measure of segment AB with a(-4,-9) and B(4, -3) is
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Answer:
Step-by-step explanation:
<h2>Determine the equation form of the inequality</h2><u>Given function form</u>
Point-Slope form : y = mx + b
- m = slope
- b = y-intercept
<u>Given the information from the graph</u>
Since the graph crosses (0, 2), b = 2
<u>Find the slope</u>
<em>Choose any two points from the graph</em>
(x₁, y₁) = (0, 2)
(x₂, y₂) = (2, 3)
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (3 - 2) / (2 - 0)
Slope = 1 / 2
m = 1 / 2
Therefore, the equation form of the inequality is <u>y = (1/2)x + 2</u>
<h2>Determine whether it is ≤ or ≥</h2>Since it is a <u>solid line</u>, the values on the line are also included. Thus, it must be either greater than or equal to, or less than or equal to.
The shaded region is below the solid line, therefore, it is<u> ≤</u>
Therefore, the inequality is
To double-check the sign, we can substitute (0, 0) into the inequality to see whether it is true.
y ≤ (1/2) x + 2
0 ≤ (1/2) 0 + 2
0 ≤ 2 TRUE
Hope this helps!! :)
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Explanation:
As we know that set is the collection of elements and set builder is the method of defining the set with the help of specific property in which we can use arithmetic operations as well
Generally,
It is the general form of any set in which we can construct the complete set with the help of equation in the given in set builder form.
Since we have the elements : 45,55,65,75
So, the set builder form will be { x: x =5(2n+1) ,4≤n≤7,x,n∈ N }
We will read it as it is the value of x which will be find with the help of given equation i.e. x=5(2n+1) where n goes from 4 to 7 only and x and n are natural numbers only.