3x^2 + 9x + 6 = 0
3x^2 + 3x + 6x + 6 = 0
3x(x + 1) + 6(x + 1) = 0
(3x + 6)(x + 1) = 0
3x + 6 = 0 and x + 1 = 0
3x = -6 and x = -1
x = -2 and x = -1
9514 1404 393
Answer:
RS = √(b² +(c -a)²)
Step-by-step explanation:
Put the given point coordinates in the given formula:
- R = (x₁, y₁) = (0, a)
- S = (x₂, y₂) = (b, c)
RS = √((b -0)² +(c -a)²)
RS = √(b² +(c -a)²)
True.....I am not really good at explaining, but I would try. for any fraction , if it is multiplied by it inverse it equals to one because they end up crossing out. example: 3/4 ×4/3=1
6/23×23/6=1
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Triangle CAB is a right triangle.
Therefore, m∠1 = 90°
Similarly, m∠ACD = 90°
m∠ACD = m∠ACB + m∠BCD = 90°
= m∠3 + m∠4 = 90°
Since m∠4 = 35°,
m∠3 + 35° = 90°
m∠3 = 90° - 35°
= 55°
In the triangle ABC,
m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]
m∠3 + m∠2 + m∠1 = 180°
55° + m∠2 + 90° = 180°
m∠2 + 145° = 180°
m∠2 = 180° - 145°
= 35°
Since, AB║CD and BC is a transverse,
Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]
Option (1) is the correct option.
