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)
Answer:
A. 1000x75t=i
B. 1000(1+5%/n)^t
Step-by-step explanation:
i=prt interest principle rate time
a=p(1+r/n)^t amount principle rate number of times interest is compound time
<em>Hope this helps.</em>
We are given equation 2x+3y=9xy.
A linear equation is a equation that has maximum degree of the equation as 1.
Degree is the maximum power(exponent) of the variables.
If two variables are being multiplied together in a term, we can find power of the that term by adding powers of those variables.
In the given equation, on the left side we have two terms 2x and 3y, each opf the variable x, and y has power 1 and right side of the eqaution we have term 9xy. There x and y variables are being multiplied together.
So, the total power of the term would be 1+1=2.
So, the degree of the given equation would be 2.
Because degree of the given equation is not 1. Therefore, given equation is not a linear eqaution and it is a non-linear equation.
Tom and Martin worked <u>9 hours</u> this week.
These are their hourly wages:
Tom: $2.15
Martin: $2.50
This means that:
Tom earned 9 x $2.15 in wages, which is equal to $19.35.
Martin earned 9 x $2.50 in wages, which is equal to $22.50.
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Now, we've been told that Tom and Martin sold $360 worth
of meals but we were not told how much they received in tips.
For all intents and purposes, let's say that they received $n
in tips. 15% of $n in tips would be less than 20% of $n
in tips. Now, Martin is already going to be receiving a higher
wage, and the fact that he is going to be receiving 20% of
$n in tips compounds the logical conclusion that at the end
of the week, he'd be leaving work with more money than Tom.
Answer:
Martin made more money than Tom.
Answer:
mean: 14
median: 13.5
range: 8
Step-by-step explanation:
Hope this helps! Sorry if I am late.
