LLet each of the vectors A 5a,- a, + 3a,, B -2a, + 2a, + 4a,, and C = 3a,- 4a, extend outward from the origin of a cartesian coordinate system to points A, B, and C, respectively. Find a unit vector directed from point A toward: (a) the origin; (b) point B; (c) a point equidistant from B and C on the line BC. (d) Find the length of the perimeter of the triangle ABC.

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Q: x +y = - 12 2x - 3y = 6

A: Solved below

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Q: 2x + 6y = 4 5x + 15y = 10 Use the substitution method and show work.

A: Given: The system of equations 2x+6y=4 5x+15y=10 To find: Solution to the given system by method…

Q: A. y = -2(x – 4)² + 1 B. y = 2(x – 4)² + 1 C. y = 2(x + 4)² – 1 D. y = -2(x + 4)² – 1 7.

A: 7. A parabola can have equation of the form x=a(y-k)2+h. This parabola will have vertex at (h,k) and…

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Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

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A: Consider the given equations as,

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A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: T. If TM 3y and TX 2y + 24, then Y

A: Given,  TM = 3y TX = 2y + 24

Q: A B C D E t

A: Option (B) is correct. Since Arrow is moving diagonally and rotated by 90°.

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Q: [2x+3y-z-5 4x+6y-2z x-4y+3z 5 10 C.

A: To find the values of x ,y and z satisfying all the equations

Q: 2x + y = 5 X - y = 1 Use substitution method

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Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

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Q: -2a -2b -2c b. det | 2p+x 2q+y 2r+z Зу 3x 3z

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Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

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Q: True or False? e2ni – 1 = 0 Hint: Take a look at the proof attempt below. Do you believe it, or does…

A: Given, eπi + 1= 0 (identity equation) Simplifying the above equation, eπi = -1

Q: Which system of inequalities best describes the given graph below?

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Q: Calculate (5xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

A: Given

Q: 3x+2y = −6 Ау 4 N Лу 4 6 х

A: Let's draw equation of line.

Q: 1 -2 1 37 00 00 Lo 0 00 X1 x2 x3 ХА [x₁ x2 x3 X4 From this matrix, we get the equation, x₁2x₂ + x3 +…

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Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

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A: We need to find the product of the given expression,                 x2+y3x2-y

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A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question which is…

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Q: Determine the right end behavior of y = - 13x + +3x². + 1x4 As x → ∞0, Oy → +∞ y → -∞ Oy → -13 Oy -…

A: y=-13x+13x2+14x4if degree is even and leading coefficient is positive than as x→-∞, f(x)→∞ as x→∞,…

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Q: If det(A) = 2, find det(A5).

A: Given:detA=2det5A=?FORMULA:detcA=c detA

Q: Find x and y. 一2 x -2.15 y 6 19 8 (x, y)

A: