In this section we are going to see how knowledge of some fairly simple graphs can help us graph some more complicated graphs. Collectively the methods we’re going to be looking at in this section are called transformations.
Vertical Shifts
The first transformation we’ll look at is a vertical shift.
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Box-and-whisker plot
We are given the box-and-whisker plot that summarizes the magnitude of earthquakes.
The minimum value of the dataset is 2,5
The maximum value of the dataset is 8.5
The range is the difference:
Range = 8.5 - 2.5 = 6
Range = 6
2x - 3y = 7 can be rewritten as y = 2/3x - 7/3, therefore, the equation that is a linear equation is: C. 2x - 3y = 7.
<h3>What is a Linear Equation?</h3>
A linear equation is expressed in the slope-intercept form as y = mx + b.
2x - 3y = 7, rewritten in slope-intercept form would be:
-3y = -2x + 7
y = -2x/-3 + 7/-3
y = 2/3x - 7/3
m = 2/3 and b = -7/3
Therefore, the equation that is a linear equation is: C. 2x - 3y = 7.
Learn more about linear equation on:
brainly.com/question/15602982
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<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;
where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;
Multiplying both sides of the equation by 2, we have;
Simplifying, we have;
Adding both sides of the equation by 2, we get;
Dividing both sides of the equation by 10, we have;
Thus, the value of x is 5.
