Answer:
The transformation is called Translation.
Step-by-step explanation:
We have different types of transformation:
Translation: A translation or slide is an isometry in which all points of a figure move the same distance and in the same direction.
Reflection: A reflection is an isometry in which the preimage and the image have opposite orientations. In other words, the image appears backwards.
Rotation: A rotation is an isometry in which a figure has been rotated or turned around a point called center of rotation.
Dilation: A dilation could be an enlargement or a reduction.
In Geometry, "Translation" simply means Moving without rotating, resizing or anything else, just moving.
To Translate a shape: Every point of the shape must move;
the same distance
in the same direction.
So, in this question XYZ translate to 
since every point move in the same distance and same direction.
An arithmetic series is a pattern of a series of numbers with same difference. First, let's find the difference:
16 -5 = 11
27- 16 = 11
So, the arithmetic series is obtained by adding 11 to every previous number. The formula for an arithmetic series is
An = A1 + (n - 1)d
where An is the nth term in the series, A1 is the 1st term in the series, n is the number of terms in the series and d is the difference. Hence,
A23 = 5 + (23 -1)11
A23 = 5 + 11(22)
A23 = 247
Thus, the 23rd term is 247.
Answer: Volume=648
Step-by-step explanation:
Volume formula= L*W*H
= 12*6*9
=72*9
=648
I don't know if this is the equation you need. But here it is.
Y - 4 = -2 (x + 1)
This looks complicated
lets simplify both sides
By multiplying top and bottom by the conjugate:-
left side = (5-3i)(x + iy) (4+5i) (5-3i)(x + iy) (4+5i)
------------------------ = ------------------------
(4-5i)(4+5i) 41
right side = (2 + i + 3-4)(2+i - 3 + 4i) (by Difference of 2 squares)
= 5-3i)(-1 + 4i)
so as left side = right side
(5-3i)(x+yi)(4+5i) = 41 (5-3i)(-1+5i)
5-3i is common so:-
(x + iy)(4+5i) = 41(-1+5i)
4x +5xi + 4yi - 5y = -41 + 205i
4x - 5y + (5x + 4y)i = -41 + 205i
EQuating coefficients we are left with the system of equations
4x - 5y = -41
5x + 4y = 205
solving this gives x = 21 and y = 25
