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tigry1 [53]
2 years ago
15

An airplane flew at an average rate of 600 miles per hour from Tokyo to Seattle. Because of a strong headwind, the average rate

of the return trip was only 480 mph. The round trip took 18 hours.
A table showing Rate in miles per hour, Time in hours, and Distance in miles. The first row shows Trip to Seattle, and has 600, t and 600 t. The second row shows Trip to Tokyo, and has 480, 18 minus t, and 480 left-parenthesis 18 minus t right-parenthesis.
Which equation can be used to determine the time for each leg?

600t = 480t
600t = 18 – t
600t = 480 – t
600t = 480(18 – t)
Mathematics
1 answer:
S_A_V [24]2 years ago
7 0

The equation that can be used to determine the time for each leg is D. 600t = 480(18 – t)

<h3>How to calculate the equation?</h3>

Speed on going ,= 600 miles per hour.

Speed on return = 480 miles per hour

Time on returning = 18 - t

Distance = Speed × Time

Distance = 480(18 - t)

The equation that can be used to determine the time for each leg will be:

600t = 480(18 – t)

Learn more about equations on:

brainly.com/question/2928934

#SPJ1

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Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b
poizon [28]

The roots of the given polynomials exist  $x=8+\sqrt{10}$, and $x=8-\sqrt{10}$.

<h3>What is the formula of the quadratic equation?</h3>

For a quadratic equation of the form $a x^{2}+b x+c=0$ the solutions are

$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Therefore by using the formula we have

$x^{2}-16 x+54=0$$

Let, a = 1, b = -16 and c = 54

Substitute the values in the above equation, and we get

$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$$

simplifying the equation, we get

$&x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1} \\

$&x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1} \\

$&x=8+\sqrt{10}, x=8-\sqrt{10}

Therefore, the roots of the given polynomials are $x=8+\sqrt{10}$, and

$x=8-\sqrt{10}$.

To learn more about quadratic equations refer to:

brainly.com/question/1214333

#SPJ4

3 0
2 years ago
Read 2 more answers
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