Answer: There are 192 horses in the ranch
Step-by-step explanation:
The combined number of cattle and horses = 960.
Ratio of cattle to horses =12 :3
Total ratio =12+3=15
Number of horses on the ranch = ratio of horse / Total ratio x total number of horses and cattle
3/15 x 960 = 192
Therefore there are 192 horses in the ranch
Step-by-step explanation:
You mean the answer is - 14
So - 14 + (-4) =
- 14 - 4 = 18
Answer: A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin .
Step-by-step explanation:
From the given figure, the coordinates of ΔABC are A(-3,4), B(-3,1), C(-2,1) and the coordinates of ΔA'B'C' are A'(3,1), B'(3,4), C'(2,4).
When, a translation of 5 units down is applied to ΔABC, the coordinates of the image will be
Then applying 180° counterclockwise rotation about the origin, the coordinates of the image will be :-
which are the coordinates of ΔA'B'C'.
Hence, the set of transformations is performed on triangle ABC to form triangle A’B’C’ is " A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin ".
Answer:
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Perpendicular lines:
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to y=1/8x+2
This line has slope 
So, for the line we want to find the equation, we have that:
So
Find the equation of the line through point (1,−5)
This means that when 
. We use this to find b. So:
The equation of the line is:
-0.16666666666 which equals -1/16.
