What are the coordinates of (-4,-2) rotating 90° counterclockwise?
1 answer:
Answer:
(2, -4)
Step-by-step explanation:
The rotation of an object <u>turns</u> the object around a <u>fixed point</u> called the center of rotation.
A <u>rotation</u> of 90° counterclockwise means:
A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.
The rule for a counterclockwise rotation of 90° about the origin is:
(x, y) → (-y, x)
Therefore:
(-4, -2) → (2, -4)
Learn more about transformations here:
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Answer:
Please find attached the graph of the relationship between the gallons, g, and cost, C
The relationship between the cost and number of gallons is cost C = $3.25 × Number of gallons, g
Step-by-step explanation:
The given parameters are;
Number of Gallons, g Cost, C
6 $19.50
22 $71.50
From the given coordinates, we generate the graph using Microsoft Excel, as seen in the attached graph
The given coordinates can be used to find the equation of the relationship in point and slope form as follows;
The slope of the the given coordinates are (71.5 - 19.5)/(22 - 6) = 3.25
The equation of the graph in point and slope form is C - 71.5 = 3.25·(g - 22)
C - 71.5 = 3.25·(g - 22)
C = 3.25·g - 3.25 × 22 + 71.5 = 3.25·g - 0
C = 3.25·g
The relationship between the cost and number of gallons is cost C = $3.25 × Number of gallons, g
From the above equation, we have, that the price per gallon is $3.25
