Given the following parametric equations, convert to rectangular equations: x = t + 5 and y = t² – 11. Write the equation in standard form. Use the ^ symbol for adding exponents. Example: Type x^2 for x2. No spaces!

Q: -3i - 4= i+3

A: Here in the given equation, we find the value of i, -3i - 4= i+3 => -3i -i = 3+4

Q: What are the steps involved to plot a point in a rectangular coordinate system?

A: In a rectangular coordinate system there are four quadrants, two mutually perpendicular lines namely…

Q: By translation of axes, simplify the equation x^2-4x-4y-8=0

A:

Q: (y? + 7xy + 16x²)dx + x?dy = 0 when x = 1, y = 1 .2 Е 1, у %3D 1

A: the given differential equation is: y2+7xy+16x2dx+x2dy=0 and the given condition is when x=1, y=1.

Q: Convert r=sqrt(3) into a rectangular equation

A: Answer

Q: A car safety association conducted tests to measure the stopping distances of a new model of car and…

A: Given equations: y=0.225x+12.45y=0.0032(x-30)2+19.2y=1.90(1.08)x

Q: Sarah dove off a diving platform into a pool. The dive as she returns to the surface can be modeled…

A: The modeled equation is:y=0.75x2-8x+15

Q: Transform the equation below to one in standard form and describe all important features. 4x^2 − 24x…

A: Transform into the standard form.

Q: Need help with solving/graphing these equations. x-y=3 y=x^2-3

A: Substitute y = x^2 - 3 in the equation x - y = 3 as follows.

Q: What are the solutions to the following equation. Y=x X^2+y^2=64

A: Given Two equations are y = x y2 + x2 = 64  Substituting y = x in  y2 + x2 = 64

Q: On the coordinate axes above, plot and label the following points. Draw any guiding lines (or arcs)…

A: The graphical representation of co-ordinate system : Cartesian/Rectangular coordinate system :…

Q: Change 8x-2y^2= 2x^2 to polar form. Solve for r or some power of r.

A: The equation in the rectangular coordinates is given by 8x-2y2 = 2x2 To evaluate : The equation in…

Q: Convert r= 3 sec e to its equivalent Cartesian equation.

A: