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
A)
a³ * a⁵ = a⁵⁺³
= a⁸
b)
b⁶ / b³ = b⁶⁻³
= b³
c)
4c⁷ * 3c⁵ = (4 * 3)c⁷⁺⁵
= 12c¹²
d)
12p⁶ / 4p² = (12 / 4)p⁶⁻²
= 3p⁴
e)
(3p²q³)³ = (3)³(p²)³(q³)³
= 27p²⁽³⁾q³⁽³⁾
= 27p⁶q⁹
f)
Shaded area = Area of large rectangle - Area of smaller rectangle
Area of large rectangle = 5(4x - 2)
= 20x - 10
Area of smaller rectangle = 3(2x - 3)
= 6x - 9
Shaded area = (20x - 10) - (6x - 9)
= 20x - 6x - 10 + 9
= 14x - 1
Answer:32
Just divide both sides by 12 because 960/12=80 so 384/12=32
Answer:
32
(this is just an approximation due to the left triangle)