Answer:
x = 1 ± 
Step-by-step explanation:
Given
2x² - 4x = 10 ( divide through by 2 )
x² - 2x = 5
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 5 + 1
(x - 1)² = 6 ( take the square root of both sides )
x - 1 = ±
( add 1 to both sides )
x = 1 ±
← exact solutions
Answer:
y = -1/2x +5
Step-by-step explanation:
The perpendicular slope will be the negative reciprocal of the original slope
the reciprocal of 2 is 1/2, and the negative of that is -1/2
Answer:
63 degrees
Step-by-step explanation:
180 = 117 = 63
Answer:
100
Step-by-step explanation:
Answer:By definition, perpendicular line are two lines that intersect at right angles. In other words, the angle made by two lines should be 90°. Therefore, the use of distance formula does not help because it only tells you if the sides are equal. It does not tell you about the intercepted angle.
A technique that can help you to know if two straight lines are perpendicular is is you find their slopes. Let's say the slope of line 1 is m1 and the slope of line 2 is m2. If m1*m2 yields a product of -1, then the lines are perpendicular. This is because if m1 is the negative reciprocal of m2, the lines are perpendicular. But if m1=m2, the lines are parallel, meaning they don't intersect at all.
Therefore, the answer is: Find the slopes and show that their product is -1.
hope it help