Answer:
x=(-1/2) y=(3/2)
Step-by-step explanation:
y=x+2 Given
-3x=x+2 Substitute (-3x) for y
-2-3x=x Subtract 2 from both sides
-2=4x Add 3x to both sides
(-1/2)=x Divide both sides by 4.
y=x+2 Given
y=(-1/2)+2 Substitute (-1/2) for x
y=1 1/2
or
y=3/2
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.
36
Explanation: have a little faith in me I don’t want to type it all out thank you for your time :) -sorry if that sounded a little rude
-3x+17 because you want to simplify first by multiplying each term and then you combine like terms(x) and then you write the variable first