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.
The correct answer is option D.which is -4 ≤ x ≤ 1.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
in the graph, we can see that the value of x is increasing from -4 coordinate of x to the 1 coordinate of x so the interval will be given as -4 ≤ x ≤ 1.
Therefore the correct answer is option D.which is -4 ≤ x ≤ 1.
To know more about graphs follow
brainly.com/question/25020119
#SPJ1
I think it’s A
Sorry if I’m wrong
U have to add If u want to know the sum
Step-by-step explanation:
are you sure the fuel consumption is given by 6,8 km/l ?
normally it is given by l/100km.
but ok, let's assume this is correct.
it would mean the car can drive 6,8 km with every liter of fuel in the tank.
how many liters will the car need to go 450 km ?
well, as many liters as 6,8 fits into 450 :
450/6,8 = 66.17647059... liters
this is not a very fuel efficient car ...
