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2 years ago

Y=-3x2 + 18x + 10 what is the axis of symmetry step by step?

Mathematics

1 answer:

postnew [5]2 years ago

8 0

Answer and Step-by-step explanation:

$\frac{-b}{2a}$ is the equation to find the axis of symmetry of a quadratic equation.

$y = -3x^{2} + 18x + 10$

-3 = a

18 = b

10 = c

Now we plug the values into the equation.

$\frac{-(18)}{2(-3)} \\\\\\\frac{-18}{-6} \\\\\\3$

The axis of symmetry is on the line x = 3.

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3x-2y=6<br><br> y=3/2x-3<br><br> Find the slope, x-intercept, and y-intercept for both equations.

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3 years ago

I need help with this math question. What is the Area of this shape?

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2 years ago

Read 2 more answers

A robot moving forward at a constant speed takes 2.5 hours to travel 1 kilometer. Moving forward at this same constant speed, it

makvit [3.9K]

Answer:

The length of the hallway is 10 m.

Step-by-step explanation:

Given:

Time taken to cover 1 km = 2.5 hours

Distance covered in 2.5 hours = 1 km

Therefore, speed of robot = $\frac{\textrm{Distance}}{\textrm{TIme}}=\frac{1}{2.5}=0.4\ km/h$

Now, speed is constant.

Now, time taken to cover the length of hallway = 90 s

Speed of the robot = 0.4 km/h

Converting 0.4 km/h to m/s, we multiply by the factor $\frac{5}{18}$ . This gives,

$0.4\times \frac{5}{18}=\frac{1}{9}\ m/s$

Now, distance of the hallway is equal to the product of speed and time. So,

Distance of hallway = Speed $\times$ Time

Distance of hallway = $\frac{1}{9}\times 90=\frac{90}{9}=10\ m$

Therefore, the length of the hallway is 10 m.

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