answer is (9,2)

Question

asked 2021-02-02

Suppose the vertices of the original figure in the example were A(-6,6), B(-2,5), and C(-6,2). What would be the vertices of the image after a 90° clockwise rotation about the origin?

A'()

B'()

C'(___)

A'()

B'()

C'(___)

asked 2021-01-13

Find the coordinates of T given that S is the midpoint of RT, R(2,6) and S(-2, 0).

asked 2020-12-01

a) To find:

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.

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.

asked 2021-01-05

For each problem below, either prove that the mapping is linear or explain why it cannot be linear.

\(\displaystyle{1}.{f{{\left({x}_{{1}},{x}_{{2}}\right)}}}={\left({2}{x}_{{1}}-{x}_{{2}},{3}{x}_{{1}}+{x}_{{2}}\right)}\)

\(\displaystyle{2}.{L}{\left({x},{y},{z}\right)}={\left({x}+{y},{y}+{z},{z}+{5}\right)}\)

\(\displaystyle{3}.{L}{\left({x},{y}\right)}={\left({x}+{y},{0},{x}-{2}{y}\right)}\)

\(\displaystyle{4}.{f{{\left({x},{y}\right)}}}={\left({2}{x}+{y},-{3}{x}+{5}{y}\right)}\)

\(\displaystyle{5}.{f{{\left({x},{y}\right)}}}={\left({x}^{{2}},{x}+{y}\right)}\)

\(\displaystyle{6}.{L}{\left({x},{y}\right)}={\left({x},{x}+{y},-{y}\right)}\)

\(\displaystyle{1}.{f{{\left({x}_{{1}},{x}_{{2}}\right)}}}={\left({2}{x}_{{1}}-{x}_{{2}},{3}{x}_{{1}}+{x}_{{2}}\right)}\)

\(\displaystyle{2}.{L}{\left({x},{y},{z}\right)}={\left({x}+{y},{y}+{z},{z}+{5}\right)}\)

\(\displaystyle{3}.{L}{\left({x},{y}\right)}={\left({x}+{y},{0},{x}-{2}{y}\right)}\)

\(\displaystyle{4}.{f{{\left({x},{y}\right)}}}={\left({2}{x}+{y},-{3}{x}+{5}{y}\right)}\)

\(\displaystyle{5}.{f{{\left({x},{y}\right)}}}={\left({x}^{{2}},{x}+{y}\right)}\)

\(\displaystyle{6}.{L}{\left({x},{y}\right)}={\left({x},{x}+{y},-{y}\right)}\)

asked 2020-10-21

Find the Euclidean distance between u and v and the cosine of the angle between those vectors. State whether that angle is acute, obtuse, or \(\displaystyle{90}^{{\circ}}\). u = (-1, -1, 8, 0), v = (5,6,1,4)

asked 2021-01-28

Given the vector \(r(t) = { cosT, sinT, ln (CosT) }\) and point (1, 0, 0) find vectors T, N and B at that point.
\(
Vector T is the unit tangent vector, so the derivative r(t) is needed.
\(
Vector N is the normal unit vector, and the equation for it uses the derivative of T(t).
\(
The B vector is the binormal vector, which is a crossproduct of T and N.

asked 2021-02-08

Determine the area under the standard normal curve that lies between

(a) Upper Z equals -2.03 and Upper Z equals 2.03,

(b) Upper Z equals -1.56 and Upper Z equals 0, and

(c) Upper Z equals -1.51 and Upper Z equals 0.68. (Round to four decimal places as needed.)

(a) Upper Z equals -2.03 and Upper Z equals 2.03,

(b) Upper Z equals -1.56 and Upper Z equals 0, and

(c) Upper Z equals -1.51 and Upper Z equals 0.68. (Round to four decimal places as needed.)

asked 2020-11-10

Describe the translation of figure ABCD. Use the drop-down menus to explain your answer.

Figure ABCD is translated _____ unit(s) right and ______ unit(s) up.

Figure ABCD is translated _____ unit(s) right and ______ unit(s) up.

asked 2020-11-20

Find the angles made by the vectors \(\displaystyle{A}={5}{i}-{2}{j}+{3}{k}\) with the axes give a full correct answer

asked 2021-03-11

Find all scalars \(c_{1} , c_{2}, c_{3}\) such that \(c_{1}(1 , -1, 0) + c_{2}(4, 5, 1) + c_{3}(0, 1, 5) = (3, 2, -19)\)