Answer:
QUESTION:
How do we show that two lines are parallel when using slope? How do we show they are perpendicular when using slope?
ANSWER:
<u><em>How to determine if a line is a parallel perpendicular or neither?</em></u>
The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals. This is a worked example of determining whether given lines are parallel or perpendicular.
Step-by-step explanation:
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Answer:
The answer would be x=4.
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2x+3(5x−7)=47
2x+(3)(5x)+(3)(−7)=47(Distribute)
2x+15x+−21=47
(2x+15x)+(−21)=47(Combine Like Terms)
17x+−21=47
17x−21=47
Step 2: Add 21 to both sides.
17x−21+21=47+21
17x=68
Step 3: Divide both sides by 17.
17x/17=68
17x=68
x=4
Answer:
Rational
Step-by-step explanation:
The number comes to a stop (doesn't keep going), so it would be rational.
Answer:
C. 8 units right and 5 units down
Step-by-step explanation:
since it's only a translation, take one point as an example. lets say the bottom right point on trapezoid P is point A, and the translated point on P' is A'. the coordinates of A are (-3,2) while the coordinates of A' are (5,-3). (-3+x,2+y)=(5,-3). -3+x=5, x=8; 2+y=-3, y=-5
