Explain how the Pythagorean Theorem can be used in the real world. Who might use it on a regular basis, and how would it assist them in their task?

Q: Solve for x: x2-11x + 18=0

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Q: Find each of the following. a = 2i +j b = i - 4j (a) a + b 3 i+ -3 (b) 4a + 5b X i+ -15 |× j 6. (c)…

A: A detailed solution is given below.

Q: Find all different real numbers a and b for which the given equations have at least one real common…

A: Here we have to find all different real numbers a and b for which the given equations have at least…

Q: Example 2.41. Find all roots of the equation x³ - 2x² - 5x+6=0 by Graeffe's methoc squaring thrice.

A: Please find step by step solution below:

Q: Problem #2: (a) Find the determinant of the following matrix. A = B = 2 2 1 (b) Find the determinant…

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Q: The degree of precision of a quadrature formula whose error term is : f(2() i Оз O 1 O O O

A: Error term contains 2th derivative and degree of precision is one less than derivative  Hence degree…

Q: Solve each equation for x. a. [10 - 5(x - 2)] = (x + 1) 10

A: Given query is to find the value of x.

Q: Suppose A is m x n and b is in TRm. What has to be true about the two numbers rank| A b and rank A…

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Q: If r; and r, are the roots of equation x² – 2x+4 =0, then find Er .

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Q: Since T = 1 2x and = x + 2x2, we can substitute algebraic expressions into the equation found in the…

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Q: For a real number a, if a + 0 then a x a E R+.

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Q: then A = A(5B)= and B= -2 -10 [88]

A: given  A=35-14B=-2-10-87

Q: I. Solve using De Moivre's Theorem. 1. Find the real values of x and y such that (x + y)³ is greater…

A: We need to find the values of x and y, such that (x + y)3 is greater than 8.  Let us take x =…

Q: Regardless of what real numbers I substitute for x and y, I will always obtain zero when evaluating…

A: We have given expression 2x2y-2yx2   The result of this expression always zero for any real numbers.…

Q: If the roots of ax² + bx - 2 = 0 are a + b = 1+√3 3 I what is a+b?

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Q: 3 √(2x + 1) = 20

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Q: Taylor and Miranda are performing on a magic dimension-changing stage that is 20 yards long by 15…

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Q: 1. Find the values of a for which the equation (3a +1)x+(a+2)x+=0 has equal toots,

A: Given equation is 3a+1x2+a+2x+1=0 find ‘a’

Q: Let z = 3-4i. Find Izl.

A: Use the following property:           If z=a+bi, then z=a2+b2

Q: For Problems 11-14, determine orthogonal bases for rowspace(A) and colspace(A). 11. A = 12. A = 13.…

A: Given A=3141-21152. Applying row operations: Apply R1→R13: 11/34/31-21152 Apply R2→R2-R1 , R3→R3-R1:…

Q: Can you help me step by step with this problem?

A: Given equations are: Adding the equations:

Q: Two marathon runners pass a diagonal sidewalk on a street, shown in the diagram. If the runners…

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Q: Convert the following problem to standard form and solve: max x1 + 4x2 + x3  subject to 2x1 - 2x2 +…

A: see step 1

Q: (a) Find the value of x and y given that x2x³=243

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Q: Solve the following equation for X and Y. [3 -3 0] 2X – Y = 3 3 2] 4 2Y+X = 1. -1 4

A: We have to apply Matrix additions and scalar Multiplication for finding out values of X and Y.