To determine: The radical form of

Jaya Legge
2021-08-15
Answered

To determine: The radical form of

You can still ask an expert for help

Willie

Answered 2021-08-16
Author has **95** answers

The answer is given below

Answered 2021-12-16

Rewrite 64 as

Pull terms out from under the radical.

4

asked 2022-02-12

How do you find the points of intersection of the curves with polar equations $r=6\mathrm{cos}\theta \text{and}\text{}r=2+2\mathrm{cos}\theta$ ?

asked 2022-05-01

Rotation matrix to construct canonical form of a conic

$C:9{x}^{2}+4xy+6{y}^{2}-10=0.$

I've found C is a non-degenerate ellipses (computing the cubic and the quadratic invariant), and then I've studied the characteristic polynomial

$p\left(t\right)=\mathrm{det}\left(\begin{array}{cc}9-t& 2\\ 2& 6-t\\ & \phantom{\rule{0ex}{0ex}}\end{array}\right)$

The eigenvalue are ${t}_{1}=5,{t}_{2}=10$, with associated eigenvectors $(-1,2),(2,1)$. Thus I construct the rotation matrix R by putting in columns the normalized eigenvectors (taking care that $det\left(R\right)=1$):

$R=\frac{1}{\sqrt{5}}\left(\begin{array}{cc}1& 2\\ -2& 1\\ & \phantom{\rule{0ex}{0ex}}\end{array}\right)$

Then $(x,y)}^{t}=R{({x}^{\prime},{y}^{\prime})}^{t$, and after some computations I find the canonical form

$\frac{1}{2}{x}^{\prime 2}+\frac{4}{5}{y}^{\prime 2}=1.$

asked 2022-05-01

Shape induced by the condition of angle bisector passing through a fixed point

Let A, B be two points on 2D plane. For any$C\in \stackrel{\u2015}{AB}$ , define the set $S=\{P;\mid ;\mathrm{\angle}APC=\mathrm{\angle}CPB\}.$

What is the shape of S?

Let A, B be two points on 2D plane. For any

What is the shape of S?

asked 2020-11-23

To find: The equation of the given hyperbola. The foci of the hyperbola is

asked 2021-08-06

To convert the given radical expression

asked 2022-03-17

Can anyone help with paramaterization of conics?

Im struggling to wrap my head around an example. It considers the conic ${x}^{2}+{y}^{2}-{z}^{2}=0$ then proceeds:

Take $A=[1,0,1]$ and the line P(U) defined by $x=0$. Note that this conic and the point and line are defined over any field since the coefficients are 0 or 1. A point $X\in P\left(U\right)$ is of the form $X=[0,1,t]$ or [0, 0, 1] and the map $\alpha$ is

How do I evaluate B(v,v) or B(v,v)(a,b,c) like they have to go from the first line to the second?

asked 2021-08-08

To convert the given radical expression