Answer:
√116 (or 10.77)
Step-by-step explanation:
(refer to attached )
in this case the points given are (-4,-3) and (-8,7)
hence x1 = -4, y1 = -3, x2 = -8, y2 = 7
D = √[ (x2-x1)² + (y2-y1)² ]
= √[ ( -8 - (-4) )² + ( 7 - (-3) )² ]
= √[ ( -8 +4 )² + ( 7 + 3 )² ]
= √[ ( -4 )² + ( 10 )² ]
= √[ ( 16 ) + ( 100 ) ]
= √116
= 10.77
Answer:
Option D. a 180° rotation about the origin and then a translation left 8 units.
Step-by-step explanation:
See the attached figure_1
From the graph: Point A'(-12,-6) is the image of point A(4,6)
We will check which sequence of transformations is true:
A. a reflection across the y-axis and then a translation down 16 units
A(4,6) ⇒(-4,6)⇒(-4,-10) <u> (Wrong sequence)</u>
B. a 90° counterclockwise rotation about the origin and then a translation down 8 units
A(4,6) ⇒(-6,4)⇒(-6,-4) <u>(Wrong sequence)</u>
C. a 90° clockwise rotation about the origin and then a translation left 16 units
A(4,6) ⇒(6,-4)⇒(-10,-4) <u>(Wrong sequence)</u>
D. a 180° rotation about the origin and then a translation left 8 units
A(4,6) ⇒(-4,-6)⇒(-12,-6)A' <u>(True sequence)</u>
<u></u>
Note: the rules is the attached figure_2
Answer:
v = -8
Step-by-step explanation:
First we would have to distribute the 8(-5 - 7v). To do this we would multiply 8 by -5 and 8 by -7v to get . After this, we would have to simplify like terms by subtracting 56v from -5v to get
. We now have to get the variable on one side and to do that, we can add 40 to both sides to get
. Finally to get the variable alone, we would have to divide both sides by -61 to get
.
Brainliest would be appreciated!