How many 3/4 cups of milk would be needed to make 21 cups of milk for a large recipe?
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: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.
Step-by-step explanation:
Let x be the cost of one sandwich and y be the cost of one cup of coffee.
By considering the given situation, we have the following equations :-
Multiply 2 on both sides of equation (2) , we get
Subtract equation (1) from equation (3), we get
Put value of y in (1), we get
Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.
Answer:
The reason why points and lines my be co-planer even when the plane containing them is not drawn is because the by their definition two lines or a line and a point or three points which are fixed in space always have have a direction of view from which they appear as a single line, or for the three points, appear to be on a single line.
This can be demonstrated by the shape of a cross which is always planner
Examples include
1) Straight lines drawn across both side of the pages of an open book to meet at the center pf the book can always be made planner by the orientation#
2) This can be also demonstrated by the plane of the two lines in the shape of a cross which is always planner regardless of the orientation of the cross
3) The dimension that can be defined by three points alone is that of a planner (2-dimensional) triangle shape
Step-by-step explanation:
