Consider polygon ABCD with coordinates A(8,12), B(10,4), C(4,4), D(2,8). Part A: what are the coordinates of A"B"C"D" if we reflect over the line y=2, then dilate by a scale factor of 1/2 centered at the origin.

Part B: If polygon A"B"C"D" is now reflected back over the line y=2, what are the coordinates of the new polgon A"B"C"D"? Justify your answer.

John used linear combination to solve the system of equations shown. he did so by multiplying the first equation by -3 and the second equation by another number to eliminate the x-terms. what number did jonas multiply the second equation by? 4x-6y=23x+5y=11

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.

Fixed rate mortgage offer: purchase price: $170,000 down payment ($34k): 20% term: 30 years interest rate: 4.25% property tax (yearly): $1,500 homeowner’s insurance (yearly): $1,000 use this example from a fixed-rate mortgage calculator to you answer the questions. keep the page open after you complete this question. according to the calculator, the monthly payment demarco and tanya should anticipate paying for principal and interest is $208. $877. $669. $1,200.