Answer:
The answer to your question is y = -5x + 32 point-slope form
5x + y - 32 = 0 general form
Step-by-step explanation:
Data
(8, -8)
⊥ x - 5y - 6 = 0
Process
1.- Get the slope of the line given
x - 5y - 6 = 0
-5y = -x + 6
y = -x/-5 + 6/-5
y = x/5 - 6/5
slope = 1/5
slope of the new line -5, because the lines are perpendicular
2.- Get the equation of the new line
y - y1 = m(x - x1)
y + 8 = -5(x - 8)
y + 8 = -5x + 40
y = -5x + 40 - 8
y = -5x + 32 point-slope form
Equal to zero to find the general form
5x + y - 32 = 0 general form
C. Moved to a different location but congruent in size and shape.
Rigid motion transformations are when a shape is moved, rotated, reflected, or any other type of transformation but the size and shape stay the same.
Non-rigid is when an object is moved but the size and shape can change.
Hope this helps :))
Answer:
The correct option is;
45°
Step-by-step explanation:
By angle sum theorem, we have that the sum of angles in a triangle = 180°
Therefore, we have;
When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;
The third angle + 60° + 75° = 180°
Which gives;
The third angle = 180°- 60° - 75° = 180°- 135° = 45°
The measurement of the third angle by the angle sum theorem will be 45°
The correct option is ∠third angle = 45°.
Answer:
y = -3
Step-by-step explanation:
Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3
Answer:
Step-by-step explanation:
Equation of the line is,
y = -x + 2
By comparing this equation with,
y = mx + b
Here, m = slope of the line
b = y-intercept
Therefore, slope of the line given in the graph = (-1)
y-intercept = 2
Now we will find the table for the points lying on the line,
x -6 -4 0 4 6
y 8 6 2 -2 -4
Now plot these points on the graph and join them to get the line.