25 point question below

Image point → (13, -3)

Step-by-step explanation:

Rule for the translation of a point (x, y) by shifting 'a' units right and 'b' units down is,

(x, y) → (x + a, y - b)

If a point (-1, -8) has been translated by 4 units right and 5 units down,

(-1, -8) → (-1 + 4, -8 - 5)

          → (3, -13)

Followed by reflection across a line y = -x.

Rule for the reflection of a point (x, y) about a y = -x is,

(x, y) → (-y, -x)

Therefore, reflection of the point (3, -13) will produce an image point as,

(3, -13) → (13, -3)

Hence, image point by the transformations given will be (13, -3).

Image point → (13, -3)

Step-by-step explanation:

Rule for the translation of a point (x, y) by shifting 'a' units right and 'b' units down is,

(x, y) → (x + a, y - b)

If a point (-1, -8) has been translated by 4 units right and 5 units down,

(-1, -8) → (-1 + 4, -8 - 5)

          → (3, -13)

Followed by reflection across a line y = -x.

Rule for the reflection of a point (x, y) about a y = -x is,

(x, y) → (-y, -x)

Therefore, reflection of the point (3, -13) will produce an image point as,

(3, -13) → (13, -3)

Hence, image point by the transformations given will be (13, -3).

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,