Answer:
y = -x + 2
Step-by-step explanation:
Angle between these lines = 90°
Angle between BC and the angle bisector BD = 45°
Since, m(∠DBE) = 90° + 45° = 135°
Therefore, slope of the angle bisector BD = tan(90° + 45°)
= -tan(45)°
= -1
Let the equation of the angle bisector which passes through (x', y') and slope = m,
y - y' = m(x - x')
Where m = slope of the line = (-1)
Since, the angle bisector passes through a point B(-1, 3),
Equation of BD will be,
y - 3 = (-1)(x + 1)
y - 3 = -x - 1
y = -x - 1 + 3
y = -x + 2
Answer:
2/3y
Step-by-step explanation:
If the class usually has y students and has 2/3 today, it can be represented by 2/3y.
Since multiplying a number or variable by 2/3 makes it 2/3 of the amount, 2/3y will represent the people in the class.
So, in terms of y, 2/3y represents the number of students in class today.
Answer:
D. 158/6
Step-by-step explanation:
If you divide 158/6 you get 26.3333333333 which is a repeating decimal, and makes it a rational number.
Answer:
952
Step-by-step explanation:
34 = (30 + 4)
28 = (20 + 8)
34 x 28 = (30 + 4) x (20 + 8)
34 x 28 = 30 x 20 + 30 x 8 + 4 x 20 + 4 x 8
34 x 28 = 600 + 240 + 80 + 32
34 x 28 = 952
952 = 952