Answer:
Option B.
Step-by-step explanation:
If two lines are parallel then their slopes are always same.
Following this rule we can find the slope by the given pairs of coordinates of the options.
If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.
Slope of y - axis = ∞
Option A). Slope = 
= 
= 
= 775
Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.
Option B). Slope of the line passing through
and
will be
= 
= ∞
Therefore, line passing though these points is parallel to the y axis.
Option C). Slope of the line passing through
and (7.2, 5.4)
= 
= 0
Therefore, slope of this line is not equal to the slope of y axis.
Option B. is the answer.
Answer:
5.78×10¹⁵
Step-by-step explanation:
The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.
The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.
The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.
The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.
The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.
Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.
So the total number of possible playlists is:
(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵
(4x – 7)(16x^2 + 28x + 49) is equivalen to 64x3 - 343!