Answer:
y + 1 = 3(x - 5) Answer
Step-by-step explanation:
<u><em>Find the slope of the perpendicular line.</em></u>
m1 * m2 = - 1
m1 = - 1/3
m2 is the slope of the perpendicular
(-1/3) * m2 = - 1 Multiply both sides by -3
-(3)(-1/3) * m2 = -1 * -3
m2 = 3
The slope of the perpendicular line is 3
<em><u>Find the equation of the line.</u></em>
m = (y - y1)/(x -x1)
y - y1 = m(x - x1) is the equation of the line.
y1 =5
x1 = - 1
(y - - 1) = 3(x - 5)
y + 1 = 3(x - 5) Answer
You are given triangle RST with vertices R(-3,-1), S(-1,-1) and T(-4,-5).
1. Apply the rotation of 90° counterclockwise about the origin that has a rule:
(x,y)→(-y,x).
Then
- R(-3,-1)→R''(1,-3),
- S(-1,-1)→S''(1,-1),
- T(-4,-5)→T''(5,-4).
2. Second transformation is translation 1 unite up with a rule:
(x,y)→(x,y+1).
So
- R''(1,-3)→R'(1,-2);
- S''(1,-1)→S'(1,0);
- T''(5,-4)→T'(5,-3).
As you can see these points are exactly those from the task condition.
Answer: 1st transfomation is rotation of 90° counterclockwise about the origin and 2nd transformation is translation 1 unite up
need 2 numbers when added = 5 and when multiplied = -24
answer is D
-3+8 = 5
-3*8 = -24
(f/g)(x) = (2x² - 8)/(x - 5)
(f/g)(3) = (2(3)² - 8)/(3 - 5)
= (18 - 8)/(-2)
= 10/-2
= -5
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