Find the measures of the angles of the triangle whose vertices are A = (- 2,0), B = (3,1), and C = (3, – 3). The measure of ZABC is 78.690 °. (Round to the nearest thousandth.) The measure of ZBCA is °. (Round to the nearest thousandth.)

Q: Plot (-6, - 3π/4) and (-6,5π/4) on the same polar plane.

A: We have to plot the polar graph

Q: dot product: a = 8i + 3j and b = -4i - 6j

A:

Q: Express (-23+ j2) -6 in rectangular form.

A:

Q: 6. Convert your pair of complex numbers to polar form.

A:

Q: 2 A -3 -1 -1 -2 The midpoint of AB = ([ ? ], [ ])

A:

Q: Find the cube root of Z^3=8i lying in the first quadrant of the complex plan

A: Find the cube root of Z^3=8i lying in the first quadrant of the complex plane.  To find the cubic…

Q: 4. Convert the equation (x = 10 + 5t : 10 - 2t = to scalar form.

A: Given the problem that the parametric equation is x=10+5ty=10−2tthe aim is to write the equation in…

Q: -3i (7i - 5)

A: See this solution in detail below

Q: What is meant by the conjugate axis and focal axis?

A: To define conjugate axis and focal axis.

Q: Find a motion that moves the line x + 2y = 3 to the y-axis and point (1,1) to the origin. Give the…

A: We need to find the motion which moves the line x+2y=3 to the y-axis and the point (1,1) to the…

Q: Find a motion that moves the line x + 2y = 3 to the y-axis and point (1, 1) to the origin. Give the…

A: To find a motion that moves the line x+2y=3 to the y-axis and the point 1,1 to the origin i.e.0,0.…

Q: Directions: Transform the following equations into standard form.   10. x^2 - 3x = -2   11. y^2…

A:

Q: Write -4+5i in polar form. Express in degrees.

A: z=−4+5iUsing polar coordinatesx=rcos⁡θy=rsin⁡θx2+y2=r2

Q: What is Ax dot y? A = -2 3 5 x = -1 y = -3 1 -2 2…

A: We are given A,X and y then we have to find Ax.y=?

Q: Explain Dot Product.

A:

Q: ketch the surface

A:

Q: Evaluate (3 – 4i)'

A: To evaluate the below complex number. 3−4ii

Q: z= 2e'+i

A:

Q: evaluate and simplify into cartesian form (2+j3) / (5-j4)

A: Multiply the numerator and denominator by the complex conjugate of 5-4j

Q: State the expression for the dot product?

A: State the expression for the dot product?

Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.

Q: ン Plot the point whose polar coordinates are 4, 5+ 4 2 -5 -4 -3 -2 -1 4 5 -1 -2 -3 3.

A:

Q: EXPTESS - J3 form in its palar

A: Given z=1-3i Compare it with z=a+bi Here a=1b=-3 Then r = a2+b2= (1)2+32= 1+3= 4= 2

Q: 4. Express (-23+ j2) in rectangular form.

A: Let's find.

Q: Calculate (1 + 2i)'. Give your answer in a + bi form

A: To calculate 1+2i7. To give the answer in a+bi form.

Q: State Regula Falsi method and apply it to find the root accurate within .

A: It is the oldest method to find the real root of nonlinear equation f(x)=0. In this method we choose…

Q: Explain the and differentiate Coordinate between three yotem- Alko describe their application and…

A: In three-dimensional space, There are Three Axes. The Cartesian coordinate system is based on three…

Q: 0.5e-1.94 in the rectangular form z = a + jb. Express the complex number z = Enter your answers…

A:

Q: Calculate (3+j6)19 in rectangular format. Please show all your steps.

A: By using De moivres theorem the answer is given as follows :

Q: Let ä = (– 4, – 2) and 5 = ( – 8, – 8). Compute the dot product. a- =

A: The method to calculate dot product is:   For two vectors a=<x,y>=xi+yj and…