Answer:
5 inches
Step-by-step explanation:
See attachment for explanation.
Answer:
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Step-by-step explanation:
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.
Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.
A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>
Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
The equation which represents the amount of money, y, that Lilia will save in x weeks is;
<h3>Slope-intercept form of linear equations</h3>
The slope-intercept form of linear equations usually takes the form;
According to the information given;
Therefore, the y-intercept of the equation is; $10.
- And since she saves $5 each week;
The slope of the equation is; $5.
By substitution, the required equation is;
Read more on slope-intercept form of equations;
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