asked 2021-01-22

asked 2020-11-27

Angles A and B are supplementary.

If \(\displaystyle{m}\angle{A}={78}°\) what is \({m}\angle{B}\)

asked 2021-02-01

\(\displaystyle{a}\ {<}\ {\frac{{{a}+{b}}}{{{2}}}}\ {<}\ {b}\)

Given information:

a and b are real numbers.

asked 2021-01-06

For all real numbers a and b, if \(a\ <\ b\ then\ a\ <\ \frac{a\ +\ b}{2}\ <\ b.\)

asked 2020-11-08

The proof of the given statement.

asked 2021-02-19

To determine.

The correct graph for the function \(g(x)=-\frac{1}{2}f(x)+1\) is B

asked 2020-11-30

Linearity Properties:

If A is a matrix, v and w are vectors and c is a scalar then

\(A 0 = 0\)

\(A(cv) = cAv\)

\(A(v\ +\ w) = Av\ +\ Aw\)

asked 2021-03-07

Getting Started: To prove that T is the zero transformation, you need to show that \(\displaystyle{T}{\left({v}\right)}={0}\) for every vector v in V.

(i) Let v be an arbitrary vector in V such that \(\displaystyle{v}={c}_{{{1}}}\ {v}_{{{1}}}\ +\ {c}_{{{2}}}\ {v}_{{{2}}}\ +\ \dot{{s}}\ +\ {c}_{{{n}}}\ {v}_{{{n}}}.\)

(ii) Use the definition and properties of linear transformations to rewrite \(\displaystyle{T}\ {\left({v}\right)}\) as a linear combination of \(\displaystyle{T}\ {\left({v}_{{{1}}}\right)}\).

(iii) Use the fact that \(\displaystyle{T}\ {\left({v}_{{i}}\right)}={0}\) to conclude that \(\displaystyle{T}\ {\left({v}\right)}={0}\), making T the zero tranformation.

asked 2020-12-25

asked 2020-12-01

The images of the following points under under a \(90^\circ\) rotation counterclockwise about the origin:

I. \((2,\ 3)\)

II. \((-1,\ 2)\)

III, (m,n) interms of m and n

b)To show:

That under a half-turn with the origin as center, the image of a point \((a,\ b)\ \text{has coordinates}\ (-a,\ -b).\)

c) To find:

The image of \(P (a,\ b)\text{under the rotation clockwise by} 90^{\circ}\) about the origin.