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Mila [183]
3 years ago
5

Which line will have no solution with the parabola y – x + 2 = x2? y = –3x –3 y = –2x –3 y = 2x –3 y = 3x –3

Mathematics
1 answer:
jeka943 years ago
3 0
Try this option:
the line y=-2x-3.
Explanation:
if to see the pair of equations: y=x²+x-2 and y=-3x-3, ⇔ x²+x-2=-3x-3, ⇔ x²+4x+1=0, D>0, then they have two common points.
if to see the pair of equations: y=x²+x-2 and y=-2x-3, ⇔ x²+3x+1=0, ⇒D>0, then they have two common points.
for y=x²+x-2 and y=2x-3: x²+x+1=0, D<0, it means, that these equations have no common points.
for y=x²+x-2 and y=3x-3: x²-2x+1=0, D=0, it means, that these equations have the only common point.

answer: y=2x-3.
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7 0
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Read 2 more answers
The length of a rectangle is twice the width. if the perimeter of the rectangle is 24, what is the area of the rectangle?
Nana76 [90]
Let L be length and W be width.

L = 2W
And our perimeter is 2L + 2W.  Substitute L to get:

2*(2W) + 2W = 24
4W + 2W = 24
6W = 24
W = 4
That means L equals 8.

So our area of the rectangle is L*W or 8*4 = 32 units squared
7 0
3 years ago
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