Solve the system by the addition method.x2 + y2 - 4x - 2y - 31 = 0 x2 - y2 - 4x + 2y - 33 = 0
A. {(2, 7), (2, -5)}
B. {(8, 1), (4, 1)}
C. {(8, 1), (-4, 1)}
D. {(2, -7), (2, 5)}
Answer: C
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Provide an appropriate response.After putting $20,000 down on a piece of property, a man began paying $500 a month for ten years. Given an interest rate of 8% compounded monthly, how much would the property cost if the man had paid for it in cash?
Fill in the blank(s) with the appropriate word(s).
A multiple-choice test offers four possible answers for every question, of which only one is the correct answer. A student guesses on five of the questions. What is the probability that she gets exactly three of the guessed questions correct?
What will be an ideal response?
Factor.5x2 - 40x + 80
A. (x - 4)(5x - 20) B. 5(x - 4)(x - 4) C. 5x2 - 40x + 80 D. 5(x - 16)(x + 1)
Work the application. Write a legend and an equation. Solve the equation and answer in a complete sentence.Sue wants to add a decorative wallpaper border to her living room. Refer to the diagram below for the dimensions of Sue's living room. The perimeter of the room is 44 feet. What is the length of the missing dimension?
A. Let y = the length of the missing dimension. 4 + 2 + 8 + 8 + 12 + y = 44 The length of the missing dimension is 10 feet. B. Let y = the length of the missing dimension. 4 + 2 + 8 + 8 + 12 = 44 + y The length of the missing dimension is 12 feet. C. Let y = the length of the missing dimension. 4 + 2 + 8 + 8 + 12 = 44 + y The length of the missing dimension is 42 feet. D. Let y = the length of the missing dimension. 4 + 2 + 8 + 8 + 12 + y = 44 The length of the missing dimension is 8 feet.