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azamat
3 years ago
5

A plane left Chicago at 8 A.M. At 12 P.M., the plane landed in Los Angeles, which is 1,700 miles away.

Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

Commercial passenger flights always list the time AT THE PLACE where
the event took place.  The data you gave in your question means that the
flight departed ORD at 8:00 AM Central (Chicago) Time, and arrived LAX
at 12:00 PM Pacific (Los Angeles) time.

Since the trip spanned two time zones, it was actually in the air for 6 hours.

Average speed = (distance) / (time to cover the distance)

                         = (1,700 miles) / (6 hours)  =  (283 and 1/3) miles per hour.

====================================

But that wasn't what you had in mind, was it.

You meant that the flight took 4 hours.

In that case, the average speed was

                   (1,700 miles) / (4 hours)  =  425 miles per hour.

This is a much more reasonable average speed for a long haul
passenger jet airliner.

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3 years ago
The height of a triangle is 4 ft less than the base x. The area is 126 ft2. Find the dimensions of the triangle.
valina [46]

Answer:

Base = x = 18ft

Height = x - 4 = 14ft

Step-by-step explanation:

The formula for the area of A the triangle is given by the following equation:

1) A = (base * heigth)/(2)

From this problem, we know that

base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.

We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).

126 = (x(x-4))/2

x² - 4x = 252

x² -4x - 252 = 0

The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.

The base is x, so base = 18ft.

Height is 4ft less than the base, so height equals 18-4 = 14ft

7 0
4 years ago
The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.
andrey2020 [161]

Answer:

\frac{145}{24}\approx 6***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

(0,3)

(2,8)

(6,5)

Step-by-step explanation:

I see that the graph crosses at (0,3),(2,8), and (6,5).

The equation y=ax^2+bx+c tells us the y-intercept is c since when x=0 we have y=a(0)^2+b(0)+c=0+0+c=c.

The y-intercept for our graph is 3. Therefore, c=3.

So far we have the equation:

y=ax^2+bx+3.

Let's enter the other points creating a system of linear equations to solve:

8=a(2)^2+b(2)+3

5=a(6)^2+b(6)+3

Let's simplify:

8=4a+2b+3

5=36a+6b+3

Let's subtract 3 on both sides:

5=4a+2b

2=36a+6b

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

-15=-12a-6b

2=36a+6b

Now adding the equations results in:

-13=24a

Divide both sides by 24:

\frac{-13}{24}=a

Now using one of the equations we can find b:

5=4a+2b with a=\frac{-13}{24}

5=4\frac{-13}{24}+2b

5=\frac{-13}{6}+2b

Add 13/6 on both sides:

5+\frac{13}{6}=2b

\frac{30+13}{6}=2b

\frac{43}{6}=2b

Divide both sides by 2:

\frac{43}{2(6)}=b

\frac{43}{12}=b

So we have the equation:

y=\frac{-13}{24}x^2+\frac{43}{12}+3

Let's evaluate a+b+c now:

\frac{-13}{24}+\frac{43}{12}+3

\frac{-13+86+72}{24}

\frac{73+72}{24}

\frac{145}{24}

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Answer:

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Step-by-step explanation:

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Answer:

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Step 2: Subtract D from both sides.

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Step 3: Divide both sides by Dr.

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