Evaluate -(a + b), given values a = -4, b = - 12.
2 answers:
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The distance between points S' and S is x= 2.5 units.
<h2>Given that</h2>Line segment ST is dilated to create line segment S'T' using the dilation rule DQ 2. 25.
Point Q is the center of dilation.
Line segment ST is dilated to create line segment S prime T prime.
The length of QT is 1. 2 and the length of QS is 2.
The length of SS prime is x and the length of TT prime is 1. 5.
<h3>We have to determine</h3>What is x, the distance between points S' and S?
<h3>According to the question</h3>Line segment ST is dilated to create line segment S'T' using the dilation rule DQ, 2.25.
Also, SQ = 2 units, TQ = 1.2 units, TT'=1.5, SS' = x.
Since the line ST is dilated to S'T' with the center of dilation Q, the triangles STQ and S'T'Q must be similar.
We know that the corresponding sides of two similar triangles are proportional.
So, from ΔSTQ and ΔS'T'Q.
Hence, the distance between points S' and S is x= 2.5 units.
To know more about Pythagoras Theorem click the link given below.
Let X be the number of energy drinks sold.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fixed cost each month of $8000.
The manufacturing cost for X energy drinks is
Fixed cost is $8000.
Therefore, cost function is
Selling price of each drink is $2.
Therefore, the revenue function is
Hence, the revenue function is