Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a
1 answer:
Answer:
Speed of car is 78 mph which travels the distance in 6 seconds.
Step-by-step explanation:
Given:
Speed of the car R = 52 mph
Time t = 9 seconds
We need to find the speed of a car that travels the given distance in 6 seconds.
Now first we will find the distance traveled by the car in 9 seconds.
Distance can be calculated by multiplying speed and time.
Distance =
Hence Total distance travel by car is 468 miles.
Now we will find the speed of a car that travels the given distance in 6 seconds.
Speed can be calculate by dividing Distance by time.
Hence;
Speed =
Hence Speed of car is 78 mph which travels the distance in 6 seconds.
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Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.
<h3>Axis of symmetry</h3>An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.
In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.
The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.
That is, in a quadratic function that has the form:
f(x)= ax² + bx + c
the axis of symmetry is a vertical line and it is defined as .
In this case, you know:
- a= 3
- b=12
- c=9
Replacing in the definition of axis of symmetry:
Solving:
<u><em>x= -2</em></u>
Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.
Learn more about axis of symmetry:
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