Answer:
y=3r+5
Step-by-step explanation:
Break up the sentance.
Capon city has 5 more than 3 times as many residents as harbor city.
The sentance above can be written like this: y=5+3x. Since they want r to represent the number of people in Harbor city, use r in place of x.
Capon city=y
has=equal sign
5 more=+5
3 times as many=3r
y=3r+5
Answer: 4√2
square root of a number is the factor that we can multiply by itself to get that number.
The square root symbol is also called as a RADICAL.
Perfect squares are the squares of the integers also called as square numbers.
to find the square root of non-perfect squared numbers we have to check the number with a near-perfect squared numbers
how to find square root of non perfect squared numbers:
If we can't figure out what factor multiplied by itself will result in the given number, we can make a factor tree.
Factor tree of 32 = 2*2*2*2*2
= (2*2) * (2*2) *2
= (4)2 *2
Therefore √/32 = √/2*2*2*2*2
= √/(4)2*2
= 4√/2
learn more about square roots here:
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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)
