Answer:
Option A - Neither. Lines intersect but are not perpendicular. One Solution.
Option B - Lines are equivalent. Infinitely many solutions
Option C - Lines are perpendicular. Only one solution
Option D - Lines are parallel. No solution
Step-by-step explanation:
The slope equation is known as;
y = mx + c
Where m is slope and c is intercept.
Now, two lines are parallel if their slopes are equal.
Looking at the options;
Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.
Thus,the lines are parrallel, no solution.
Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.
Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.
Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.
Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.
Option B falls into this category.
Answer:
0.585
Step-by-step explanation:
P(A|B) = P(A∩B) / P(B)
P(A|B) = 0.415 / 0.71
P(A|B) = 0.585
a.
Let
5x = number of games won
2x = number of games lost
The total number of win and lose is 154. So
5x + 2x = 154
Solving for x,
7x = 154
x = 22
Therefore, the number of games won is 5*22=110 and the number of games lost is 2*22 is 44.
b.
Let
6x = first side of the triangle
7x = second side of the triangle
9x = third side of the triangle
The perimeter of a triangle is the total of all sides. So,
6x + 7x + 9x = 88
22x = 88
x = 4
Therefore, the three lengths of the side are 6*4=24, 7*4=28, and 9*4 = 36
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Answer:
Step-by-step explanation:
length times width = area
so you have 8.5w=93.5
divide 8.5 on both sides to get your answer
w= 11
so your width must be 11 inches
