Given rectangle DEFG; D(-2, 4), E(2, 6), F(6, -2), and G(2, -4). Find the indicated information. y 6 11. Find DE. D 4- 12. Find EF. 3. -2- 13. Find FG. -6 -5 -4 -3 -2 -1 2 3 4 14. Find DG. -2 -3- -4- 5. Find the exact perimeter. -5- -6 6. Find the approximate perimeter. 7. Find the area.

Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: Identify the table that represents the equation y = 8· 2*. -3 -2 -1 1 2 -64 -32 -16 16 32 64 -3 -2…

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Q: Which of the points shown above are 4 units away from (-1,-3) and 2 units away from (3,-1) 1. A 2. B…

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Q: 3. Rectangle PQRS with P(4, 0), Q(3, -3), R(-3, -1) and S(-2, 2); translate . =-'43

A: Consider the vertices of the rectangle PQRS with P4,0, Q3,-3, R-3,-1, and S-2,2. Draw a rectangle…

Q: 3 Let A= (MA-|| _23]~B-[2²] and = 6-9 -4 -6 Find - 2A + 2B. - 2A + 2B=

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Q: Find the midpoint of A and D. 4- A C 2- -8 -6 -4 -2 2 4 8 D -4 -8- 2. 6,

A: We know that , Let Point A =( a , b ) and point B= ( c , d ) The midpoint of A and B is ( ( a + c )…

Q: -8 Find the distance, d, of AB. A = (2,5) B = (-6, -3) -6 -4-2 B 4 2 -2 4 A 2 4 d = √x₂-x1² + y2 -…

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Q: Find x and y. 6 17 y 5 11 5 (x, y) =

A: Equality of two matrices

Q: The vertices of a rectangle are at (-4, 2), (3, 2), (3, – 2), and (-4, - 2). What is the length of…

A: Given that: The vertices of a rectangle are: (-4, 2), (3, 2), (3, -2), (-4, -2)

Q: -2x - y - 3z = 3 2x - 3y + z = 13 2x - 3z = -11

A: We need to solve the system of equations -2x - y - 3z = 3               (i)   2x - 3y + z = 13…

Q: 1 6 -3 27 (-2)R, +R2 -8 3 4 4.

A: Given that,

Q: If p = [7, 2]  and  q = [5, -1], find p - q.

A: Given: p = [7, 2] and q = [5, -1]

Q: Determine which ordered pair is a solution of y = -3x + 4 A. (5,-12) B. (3, 6) C. (-4,1) D. (2, -2)

A: Solution

Q: 3x 2 - 8xy - 2y 2 ; x = -5, y = -6   A.43 B.129 C.-182 D.237

A: GIVEN 3x2- 8xy - 2y2

Q: Graphr = 20, r = 40, r = 9, and r = for 0 <0s 2a. -8 -6 -4

A: r=2θr=4θr=12θr=14θFor 0≤θ≤2π

Q: Find the intersection of the line through (0, 0) and (7.5, 3) and the line through (7, 0) and (0,…

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Q: 1 Determine the values of a, b and c if: 2(a,b,4) +(6,8, c) – 3(7,c,-4) = (-24,3,25)

A: We can solve this as follows:

Q: Find YZ and XY. Y -19 0. 6.4 15.4

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Q: x+y 1 16 and If bg-, 8 = -3 calculate the values of x and y.

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Q: Do the points (1, 5, −7), (1, 7, −10), and (1, 8, −13) lie on the sameline?

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Q: Find a + b, 2a + 3b, lal, and la - b|. a = (4, –3), b = (-2, 5) a + b = (9,2) (2,9) 2a + 3b =

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Q: If 2x-y=4 then 6x-3y=? Select one: a. 0 O b. 18 C. 12 d. 15 e. 10

A: Let 6x-3y = t

Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

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Q: Find x if mZ1 2x+ 10 and m22 3x-6. O a. 4 Ob. 24 Oc. 42 Od. 16

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Q: Replace R, by (-5)R, +R2. 14 3 -2 5 1 4. 8. (- 5)R, + R2 -25 2. (- 5)R, + R2 =

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Q: Find g(-3). Consider the following. y 4 2 4 -2 -4

A: Since there is a blank dot that means that we need to look for black dot hence the functional value…

Q: Set 5. (-3, 4) and (2, 6) A. (2, 8) and (-3, 2) t. 11. (-5, -7) and (1, -2) G. (0, 1) and (-6, -2)…

A: As per guidelines we can solve only three subparts at a time so the first three subparts from left…

Q: If a = (2, -1, 4) and b = (8, 2, 1), find the following. a × b = -9,30,12 X bx a = -9,- 30, - 12

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Q: Simplify. Remove grouping symbols and combine like terms. 6a²-2[4b-4b(b + 4)] 6a-2[4b-4b(b + 4)] =

A: The given expression is,

Q: What are the zeroes of y = x + 2x-8? O A.-4, 2

A: Given: y=x2+2x-8

Q: line CE has E is (-3,-2) and D is (2,10 find C

A: A line CE has a midpoint D which is (2, 10) and E is (–3, –2).