△XYZ has coordinates X

(

3

,

5

)

X(3,5),

Y

(

3

,

2

)

Y(3,2) &

Z

(

7

,

2

)

Z(7,2). Give the coordinates for

△

X

′

Y

′

Z

′

△X

′

Y

′

Z

′

, after rotating

90

deg

⁡

90deg counterclockwise about the origin.

X'(-3,-5)

Y'(-3,-2)

Z'(-7,-2)

Step-by-step explanation:

Write the ordered pairs as a vertex matrix.

To rotate the ∆XYZ 90 degrees counterclockwise about the origin, multiply the vertex matrix by the rotation matrix and then you are done.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5