Keisha's teacher gives her the following information: • m, n, p, and q are all integers and p + 0 and q +0 • A = and B= What conclusion can Keisha make? тр + пg A B = so the product of two irrational numbers is an irrational number. pq тр + ng A. B = , so the product of two rational numbers is a rational number. pq mp + nq A + B = so the sum of two rational numbers is a rational number. pq тp + ng A + B = so the sum of a rational number and an irrational number is an irrational number.

Q: Which of the following are irrational? Explain how you know? a. √27 b. 5.0287 c. √49 d. 125

A: To determine which of the following are irrational.a 27b 5.0287¯c 49d 1253

Q: -616+4√81 + √192

A:

Q: Write the answers as integers or rational numbers x/y but not decimal numbers. Don't leave spaces…

A: From the question, we can identify two equations:A-1=0and4=a⁢b

Q: To find the area of a triangle, you can use the expression b xh + 2, where b is the base of the…

A: Area of triangle is half of base into height

Q: The degree measures of the angles of a triangle are 3x, 5x, and 2x. Find an expression for the sum…

A: Given: The given angles are 3x, 5x and 2x. To find: An expression for the sum of the measure of…

Q: Write each of the following in the simplest form or as a√b, where a and b are integers, b>0, and b…

A:

Q: Which of the following numbers is imaginary? A 3+(-√18) B √(-3)(-4) C -√2+√√-4+7 D 5-√6-8

A:

Q: The cube root of -8 is not a real number.

A: The cube root of -8: 3√(-8) = -2

Q: Consider the list of numbers. V8,-V2, 10 15 Which three numbers from the list are irrational? 15 O…

A:

Q: Priya solved for the missing side of the triangle. Their work is below. Do you agree or disagree?…

A: A triangle has side length 29 and an angle 27 degree.

Q: 8. (a) Prove that the sum of a rational and an irrational number is irrational. (b) Prove or…

A:

Q: Extend the Math Activity: A rectangle with a length of x + 5 has a perimeter of 4x + 14. 1) Write…

A: 1) The perimeter of a rectangle is given by the formula, P=2l+b where l is the length of the…

Q: Solve each equation a. √√x-2=5 b. √√2x + 19 = x+8 C. √3x +18=8

A: To solve the each of the following equation.

Q: If Maya has 5 more than twice as many candles as Katie which expressions show the number of candles…

A: Given that:   Maya has 5 more than twice as many candles as Katie.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.