Answer:
4 weeks
Step-by-step explanation:
Julie starts out $100 behind Amanda, but earns $25 per week more than Amanda. That means she will catch up after 100/25 = 4 weeks.
Answer:
0.25
Step-by-step explanation:
the answer is 1/4 or 0.25 in decimal form
Range=±7%
Martin=71%, Lang=29%
Range for Martin=71%±7%
So, highest %=71%+7%=78%
Lowest %=71%-7%=64%
Therefore,range for Martin is between 64%-78% which is 14%
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.
Step-by-step explanation: