"The reflection across m takes P to P' and takes P' to P.  It leaves each point of m fixed." What does "rm leaves each point of m fixed" mean?

Q: Complete the following. Rx and Ry are reflections in the x- and y-axes.

A: To complete the following. Rx and Ry are reflections in the x- and y-axes.   3. Rx∘ Ry :…

Q: Suppose a=(6,8), b= 28, and the angle between a and bis 60. Find a×b

A: Here is the step-by-step explanation:​​Given:Vector, a=⟨6,8⟩Magnitude of vector b is ∣b∣=28Angle…

Q: The angle between u and v is theta where cos theta= 4/24. find t if u=[6,3,-2] and v=[-2.t.-4]

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Q: 3. Show that e+m2) is 90° ahead of e by using Euler's equation to plot the phasors when 0 is 0, π/2,…

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Q: find the value of ar if ABC 90 with A-ai3), Blx;-1) and c(A;-1).

A: We have given that - ∠ABC=90° and A(-6,3), B(x,-1) and C(4,-1). We have to find the value of x on…

Q: Let = 3 - 4 - 6 K, and = -2 +2 - 2k, Calculate , ull, lv • ull, and e (the angle between and in…

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Q: Given the triangle ABC, let u= CA/2+ CB/3. (a) Explain why there is and is unique the point X on…

A: Explanation for part a) is correct and sufficient.  For unique point, two vectors intersect at a…

Q: . Let v = (-5, 1, 3) and w = (3,4, 2). (a) Find the dot product, v•w , and the angle 0 between v and…

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Q: Suppose V= UW. Show that dim V dim U + dim W.

A: see 2nd step

Q: Find a · b if |a| = 14, |b| = 9, and the angle between a and b is 7/2.

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Q: Find the measures of the three angles, in radians, of the triangle with the given vertices:…

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Q: 7) Find m/EDW if MEDC = 23x + 6, MZEDW=10x +4, and mWDC = 80°. D.

A: 7)To find m∠EDW if m∠EDC=23x+6,m∠EDW=10x+4and m∠WDC=80°

Q: The angle between u and v is theta where costheta = 4/21. Find t if u = [6,4,-2] and v = [-2,t,-4]

A: Step 1:Step 2: Step 3: Step 4:

Q: Q.4) If a = 3i+j-k, b=2i-j+kand c 5i + 3k, find (2 a +b).c.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: What is the angle between 2a + 3y + z = 5 and x – ay + az = 7?

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Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate…

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Q: H C G AB || CD 148° В E F

A: Our Aim is to find the measure of Angle 1.

Q: Let be the angle between u and v. Find cos(0). cos(0) = u = [6, 5, -1], v = [1,-1, 1] Determine…

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Q: 5) consider the ghaph of y = -2.5 sin (x-13,4°) -O6 5 a) Determine the coordinates of any point…

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Q: . AABC with A(3, 4), B(-1, 0), and C(-2, 4) reflection in the line y = x.

A: First draw a triangle ABC with given vertices and a line y=x, through which we will reflect triangle…

Q: 1. LD = 2. LE= 3. LF = Find the measures of the three angles, in radians, of the triangle with the…

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Q: what is the  reflection about the line y=x

A: what is the  reflection about the line y=x

Q: 3 1. If the point P( x, is on the unit circle, the value of x can be written as 7 -, q #1. The value…

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Q: 3. Find x, y, and z y° 64° 10° IN

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

Q: 4. Write the rule (line of reflection) for each reflection. G HAF

A: A reflection is a mirror image of the shape. An image will reflect through a line, known as the line…

Q: 2n 5. Evaluate sec using reference angles. 3

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Q: Make a general statement regarding invariant points after a reflection in the x-axis and then in the…

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Q: 6. In the figure, PR and OS intersect at T. ZPQS = 25°, 2QRS = 80°, and PQ= RS. Find 2QPR. %3D

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