Max Z 3x, +5x, +2x, -2x, +2.x, + x, 10 3x, + x, - x, s 20 X, x, and x, 20 *; 20

Q: 2x, + 4x, + 2x, + 2x, + 4x, + 2x, = 10 x, + x, + 2x, + x, = 5 2x, + 5x, + x, + 4x, + x, = 7 x, + 3x,…

A: Total Equations are 6   put x1 = a , x2 =b , x3 =c, x4 =d, x5 =e ,x6 = f…

Q: -9 8 -7 -6 -5 -4 -3 -2 -1 -1 -2- -3 -4 -5 -6- 2.

A: three points on the Circle we can find easily. That is (0,0) (-8,0) (0,-4) We can find the equation…

Q: -1 y 6 5 4 3 2 1 -1 -2 -3 (2,5) b 1 2 (2,-2) 3 4 5 5 a 6 6 7 8 9 (8,-2) x

A: As we know that; The  expression for the distance between two points Px1,y1 & Qx2,y2 is:…

Q: 10 2- -6 -4 -2 -6- -10- to

A:

Q: 8. 2x, - X2 X- 3x, + x, = -2 -+ x - 3x, - -6 2

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Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x - 2)

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Q: -10 -8 -6-4 -2 > y 10 8 6 4 2 -2 4 -6 -8 -10 2 4 6 8 10 X

A:

Q: Find the area of the parallelogram with vertices P1,P2,P3, and P4.

A: Given the vertices of parallelogram

Q: -4 2- -3 -2 -1 1 2 4 5 --1 --2 --3 -4 3. 3.

A:

Q: (-3,9) 12 (6,6) (-2,6) -6,0) -2 (0,-3) 9- (2,-6) -6 -4 2. (4,0) -7,-6) -12 -

A: Given that: Graph of f(x)

Q: Y =| 8- 7+ 6+ 5+ 4+ 3+ 1- +++> x 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -2+ -3+ -4+ -5 6+ -7- -8-…

A: We need to find the equation of straight line from the graph.

Q: Graph the functions

A:

Q: y = -4x - 3 X y -4 -2 6. -6 -8 O -2, 8, 2, 10, 6 O -42, -38, -22, 18, 10 O 24, -16, -32, 16, 56 13,…

A:

Q: +) 스 2Z = (+' ({0,1,-1),.) O ({1,-1},.) O ((1,-1},+) O ({0,1,-1},+)

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Q: y (2,5) 4- 3- (1,3) 2- 1(0,1) -3 -2 -1 1 2 (-1,-1) -1- -2- (-2,-3) [-2, 21 3.

A:

Q: -8- 7 -6 3 2- 4 5 6 7 -4 -3 -2 -1 0 -1- -8 -7 -6 -5 2 -3 4- -5 -6- -7- --8- 3- 2.

A: The equation of a circle with center at (a,b) and radius r is given by, x-a2+y-b2=r2

Q: 2x, + x, - x, + 2x, = 5 | 4х, + 5х, —3х, + бх, 39 |-2x, +5x, – 2x, +6x, = 4 [4x, +11x, – 4x, +8x, =…

A:

Q: f = ((2,4), (3, -2), (-5, -5)} and 8 = ((-3, 1), (-2, 5). (3, -2)}

A:

Q: 10 7 y -8- 7-6 -5 -4-3 -2 4 5 6 7 -2- -4 8- -10 2. 1. 6. 4, 2. 6,

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Q: -7 3 -10 -9 -8 -7 -6 -5 -4 -2 5 6. 8. 10 -7 9. 7. 3. 2. 1, 2.

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Q: A y 10+ -10-8 -6-4 -2 8 9 2 2 7 6 8 -10- 2 45 8~9 10 X

A:

Q: h(6) = 1- 10- 8+ 5- 4+ h 2+ <7 -6 -5 -4 -3 -2 1 2 3 4 5 6 7 -2-

A: We have to find h(6) from the given graph.

Q: 2х, - х, + х, -2х, - 3х, + х, %3D -5.5 2х, - х, + х, + 5x, %3D 7 2х, 2) 2х, Зx, + 3x, 4х, + 3x,…

A: Instead of given variables I choose  a ,b,c,d,e,f as new variables

Q: x, + 2x, + 5x, - x, = -1.75 X - 6x, + x, + x, + x, = 9.25 – 5x, + x2 - X, + X, + X; = 4.25 2x, - x,…

A:

Q: (-2, 4) 5- (-5, 2 (-1,1) -5 (0, 0) (G1, –1) -4, -5 (–2, –5) LO

A:

Q: 2- .....*. -5 -4 -3 -2 A (-2, 2) C (2, -2) В (4, 3) D (-4, 0)

A: From above shaded region it is clear that

Q: b) v1 = (2,1,0,3), v2 = (0,1,5,7), v3 = (0,0,3, –1), v4 = (0,0,0,–4)

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Q: 9. (-3, 5); y = x-4 4

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Q: y = x - 15 x 10 y = x (4, 4) -6 -4 4 K-4,-4) - 10 - 20 20

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Q: 5. 4. 3 2- -6 -5 -4 -3 -2 -1 -1 3. -2- -3 -4 - -5+

A: Concept - with the help of graph of Tanx

Q: 2- 10 -9 -8 -7 -6 -5 -4 -3 -6- 4. on

A: To find an equation for the given graph and write them in slope intercept form. Solution: Equation…

Q: -1 5 3 -6 3 2 -1 1 -5 -3 6, 5.

A: Given matrix is A=−1563−632−151−5−3 To find the

Q: Maximize 2x, + x, + x, subject to x, + 5x, + x, s 5 3x, + 2 x, + x, < 9 5x, + 4 x, + 2x, s 10

A: (i) Solution of Linear Programming Problem via Simplex Method: 1. As the constraint 1 is of type '≤'…

Q: (-5) + 4 – 1+ 4- (-21) * (-7)) ova

A: Simplification

Q: Use a software program or a graphing utility to solve the system of linear equations using an…

A: Given system of linear equations are,

Q: y (-2,4) (2, 4) 3+ (-1,1) (1,1) + -4 -i(0, 0) -3 2 3 4 -2+ 6. 4. 2.

A: Given :  A graph of a function f(x) = x2 with five specific points labeled.  To plot :  The location…

Q: 23. х 3 2у + 6, ӕ — у — 1, у 3 1 and y = 6.

A:

Q: (iі + 2) — 3і(2 — г) %— iz+1

A:

Q: MaxZ =7x, +9x, s.t. – x, + 3x, < 6 7x, +x, 5 35 X, 57, X,X, 2 0 and are integers

A: MaxZ=7x1+9x2subject to constraints,-x1+3x2≤67x1+x2≤35x2≤7 , x1,x2≥0

Q: 4- 3. -5 -4 -3 -2 -1 4 -2 -3 -4 - -5- 3. 2.

A:

Q: |2y + 6| < 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

A: Given:2y+6&lt;10

Q: 8) [x+5ys 20 x 2y 10 6 2- ++++ -10 -8 -6 -4-2,4 +++ 4 6 8 10 X -8 -10-

A: To plot the following inequality.  x + 5y ≤ 20 (Red) x ≥ 2y (Blue).

Q: 2x, - x, + 2x, + x, - x, + X, 4х, — 3х, + 3х, + 4x, + х, + бх, 23 2x, + 3x, + 5x, + x, + 7x, 8x, +…

A: For convenience we use  x1=x, x2=y, x3=z, x4=u, x5=v, x6= w.

Q: D(-5, 9), E(-3, 6), F(-6, -2), G(-8, 1)

A: Given :- The given points are : D-5 , 9  ; E-3 , 6 ;  F-6 , -2 ;  G-8 , 1

Q: السؤال الثاني أثبت باستخدام المتجهات ان النقاط )2,0- A(0, ,2-)C -2,-2), B(-2,0, -2), تمثل رؤوس مثلث…

A:

Q: -2 -1 -6 -5- -4 --3- -2 1 0 -2 1 3 4 - 5 6

A: we can see which one is correct by going y= log x to given graph

Q: -6 -5 -4 -3 -2 -1 0 2 3 4 --1- -2 -3 -4 -5- -6 -7

A: Topic - circles

Q: 2х, + 4x, + 2х, + 2х, + 4x, + 2x, %3D 10 х, + х, + 2х, + х, 3D 5 2х, + 5х, + х, + 4x, + x х, + 3x, +…

A: Given system of equations…