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:
The amount of carpet needed in Room Z should be the same as the carpet needed in both Room X and Room Y.
Step-by-step explanatio
Answer:
8x + 20 ≥ 25
Step-by-step explanation:
Well 8 times the sum of a number "x" plus 20,
So we can write the following,
8x + 20
and that should be greater than or equal to 25
8x + 20 ≥ 25
<em>Thus,</em>
<em>as an inequality it is 8x + 20 ≥ 25.</em>
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<em>Hope this helps :)</em>
0,-2
4,4
2,0
3,5
Step-by-step explanation:
that was my answer
Hey there!
Answer = -14
Explanation:
Let's solve your equation step-by-step.
x + 2 = -12
Subtract 2 from both sides:
x + 2 - 2 = -12 - 2
x = -14
So therefore, that is how you found your answer: x = -14