Find the solution set for the equation, given the replacement set.
1 answer:
Answer:
c. {(–4, 8.5)}
Step-by-step explanation:
A plot of the equation and the offered points is attached.
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It might be helpful to put the equation into slope-intercept form.
2y = -5x -3
y = -5/2x -3/2
This shows you that y will be an odd multiple of 1/2 only for even values of x. So, we only need to check the points (-2, 9.5) and (-4, 8.5).
At x=-2, y = -5/2(-2) -3/2 = 5 -3/2 < 9.5 . . . . . (-2, 9.5) is not a solution
At x=-4, y = -5/2(-4) -3/2 = 10 -3/2 = 8.5 . . . . (-4, 8.5) is a solution
Of the offered choices, the only one in the solution set is (-4, 8.5).
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Answer:
l : b = 6 : 5
Step-by-step explanation:
let's assume lenght of each congruent rectangle be x
now,
Lenght of the larger rectangle =
=》3 × lenght of smaller rectangle = 3x
but it is also equal to
=》4 × width of each smaller rectangles ( b )
so, we get :-
=》4 × b = 3x
=》b = 3x / 4
so, we get width of smaller rectangle =
now, width of larger rectangle =
=》lenght of smaller rectangle + (2 × width of smaller rectangle)
=》
=》
=》
=》
now, length of larger rectangle = 3x
width of larger rectangle = 5x/2
so l : w :-
=》
=》
=》
so, required ratio of l : b = 6 : 5