Algebra Part 2 Unit 3

What are the coordinates of the image after a rotation of 90°?

0 1 -4 0 -3 1

Find the coordinates of the image after a rotation of 270

0 8 9 0 -1 3

Find all the real cube roots of 0.000064.

0.04

Find all the real square roots of 0.0036.

0.06 and -0.06

Simplify x^1/5(x^3/5)(x^-3). Assume all variables are positive.

1/^5sqrt(x^11)

Rationalize the denominator of sqrt(20z^(2)r)/sqrt(5zr). Assume that all variables are positive.

2sqrt(z)

Multiply 3sqrt(25)(3sqrt(5)). Simplify if possible.

5

Write 8/^7sqrt(x^15) in exponential form.

8x^-15/7

What is the determinant of -5 -10 -7 1 -3 -9 7 6 -3

96

The points A(3, 2), B(-3, 2), C(-3, -2), D(3, -2); A(3, 2), B(-3, 2), C(-3, -2), D(3, -2), represent the vertices of a polygon. Use matrix addition to find the coordinates of the image after a translation 2 units left and 4 units down. Graph the pair of figures on the same coordinate plane.

A'(1,-2), B'(-5, -2), C'(-5, -6), D'(1,-6)

In May, Marcus bought 48 styrofoam balls and decorated them as toy figurines. In June, he sold 19 figurines. In May, Lin bought 44 styrofoam balls to decorate and in June, she sold 21 figurines. Which matrix represents all of their May purchases and their June sales?

May June Marcus 48 -19 Lin 44 -21

Solve 3x=sqrt(12+3x). Check for extraneous solutions.

x=4/3

Two matrices with dimensions 2x2 and 2x2 will result in a product matrix with dimensions 2x2 when multiplied.

True

Two matrices with dimensions 3x1 and 2x4 will produce a product matrix with dimensions 3x4 when multiplied.

False

The fifth root of 12 is equal to the fifth root of 7 times the fifth root of 5.

False; The fifth root of 12 would be equal to the fifth root of 4 times the fifth root of 3.