Answer:
y=34x+2.625
y=34x+2.75
y=−34x+1.25
y=34x+1.25
y=−34x+2.75
Correct answer:
y=−34x+2.75
Step-by-step explanation:
Sharing with three friends:
1/24 of original pie
Sharing with little brother:
1/12 of original pie
Answer:
-2
Step-by-step explanation:
-2-15
-2 +(-15)
-17
Answer:
yes
Step-by-step explanation:
The line intersects each parabola in one point, so is tangent to both.
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For the first parabola, the point of intersection is ...
y^2 = 4(-y-1)
y^2 +4y +4 = 0
(y+2)^2 = 0
y = -2 . . . . . . . . one solution only
x = -(-2)-1 = 1
The point of intersection is (1, -2).
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For the second parabola, the equation is the same, but with x and y interchanged:
x^2 = 4(-x-1)
(x +2)^2 = 0
x = -2, y = 1 . . . . . one point of intersection only
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If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.
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Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.
Answer:
16
Step-by-step explanation:
The square numbers are
1² = 1
2² = 4
3² = 9
4² = 16 ← this is the closest perfect square
5² = 25 (not applicable, over 22)