What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

The coordinate of the R' after the dilation is (-1,-0.5)

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

Given information-

The points of PQRS are Q(-3,2), R(1,2), P(-3,-3), S(1,-3).

The given points are dilated. This dilation can be measured by subtracting the point P from each point . Thus the point of Q is,

Similarly,

As the dilation factor is 0.5. Thus, the point of Q is,

Similarly,

Add the points P back, to the above coordinate plane to get the dilation point. Thus the point of Q is,

Similarly,

Thus the coordinate of the R' after the dilation is (-1,-0.5)

Learn more about the dilation here;

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Step-by-step explanation:

See attachment for complete question.

From the attachment:

Dilation:

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

Next, apply dilation factor 0.5

Lastly, measure R' from the origin by adding the coordinates of P to R'

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: