Answer:
5x -7y = 21
Step-by-step explanation:
A sketch can convince you that BC is a transversal perpendicular to parallel lines AB and CD. The question asks for an equation for CD, so we just need to write the equation of a line through D that is parallel to AB.
One way to do this is to equate the slopes of the parallel lines:
∆y/∆x for AB = ∆y/∆x for CD
(y2 -y1)/(x2 -x1) = (y -2)/(x -7) . . . . . . where (x1, y1) = A; (x2, y2) = B; (7, 2) = D
(4 -(-1))/(1 -(-6)) = (y -2)/(x -7)
5(x -7) = 7(y -2) . . . . . . . . . . . . . cross multiply
5x -7y = 21 . . . . . . . . . . . . . . . . add 35 -7y, simplify
_____
Note that the graph shows the line CD is named "b", and its equation is shown at upper left. Multiplying that equation by -1 gives the one shown here.
Hey!~
Log 5 + Log 2 = 1
Hope this helps and have a nice day!
-Lindsey
Answer:
(7x + 18) or 60 Mangoes
Step-by-step explanation:
Let the no. of mangoes Kubie possesses be x
So,
Cyril has mangoes = 2x + 6 ...(i)
So,
Maxine has = 2 * (2x + 6)
= 4x + 12
Given that,
Kubie has mangoes = 6
∵ The combined mangoes they have in terms of x,
= Cyril + Kubie + Maxine
= (2x + 6) + x + (4x + 12)
= 7x + 18
A.T.Q.
Cyril has = 2x + 6
∵ Cyril has mangoes = 2 * (6) + 6
= 18 mangoes
∵ Maxine has = 2 * Cyril's mangoes
= 2 * 18
= 36
Thus,
Total mangoes = Cyril + Kubie + Maxine
= 18 + 6 + 36
= 60 Mangoes
Answer:
1 5/16 gallon
Step-by-step explanation:
Gallon of ice brought by Karen = 3/8
Gallon of ice brought by Robin = 15/16
Total ice team brought by them is sum of Gallon of ice brought by Karen + Gallon of ice brought by Robin
Total ice team brought by Karen and Robin = 3/8 + 15/16
=> 3*2/8*2 + 15/16
we are multiplying with 2 both numerator and denominator in 3/8 so sas the denominator becomes 16 as in other fraction denominator is 16
=> 6/16 + 15/16
=> (6+15)/16 = 21/16
since 21/16 is improper fraction, converting it in mixed fraction we have
21/16 = 1 5/16 gallon
Thus , Karen and Robin have 1 5/16 gallon ice tea together.
