After traveling 345 miles the
2 answers:
d = total distance of the trip. We know that 345 miles is only 3/5 of the trip. Due to the fact that we know this, we can do some simple math to find the total distance. 345/3 = 115
115 * 5 = 575
This means we are looking for the equation which gives us d = 575.
Lets solve each problem:
A) 3/5 / d = 345. This would give us d = .0017. Which is way too small to be the total distance.
B) 3/5 * d = 345. This would give us d = 575. Seems like our answer, but lets keep trying the other ones.
C) 345 * d = 3/5. d = .0017, this is not right.
D) 345 / d = 5/3. This is d = 207, which is also wrong.
So our answer should be B.
I hope this helps! :)
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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.
