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lana66690 [7]
3 years ago
6

What is the slope of a line that is perpendicular to 4x-8y=64

Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer:

- 2

Step-by-step explanation:

1) Write the equation in slope-intercept form.

4x - 8y = 64

-8y = -4x +64

y = 1/2 x - 8

slope of this line = 1/2

2) For perpendicular line the slope is negative reciprocal.

So, slope for perpendicular line is equal  -2.

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Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
likoan [24]

Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

5 0
3 years ago
Mi padre compró un radio por cierta suma de dinero, un televisor que costó 10 veces más que el radio y un reproductor cuyo preci
Maru [420]

Answer:

For radio = $40.43

Television =  $444.73

Player =  $364.73

Step-by-step explanation:

The computation of the each device cost is shown below:

let us assume the following things

radio be x

television x + 10x

player x + 10x - $80

Now the equation is

x + x + 10x + x + 10x - $80 = $850

3x + 20x - $80 = $850

23x = $930

x = $40.43

For radio = $40.43

Television = $40.43 + 10(40.43)

= $40.43 + $404.3

= $444.73

and, the player would be

= $444.73 - $80

= $364.73

7 0
3 years ago
What is the perimeter of triangle OJL
juin [17]

Answer:

infinity.............

3 0
3 years ago
2, 4, 13, 49, 193,
PolarNik [594]

If we begin with the first term, 2, mult. it by 4 and then subtract 3, we get 5 (not 4, as shown).

If we begin with 4, mult. it by 4 and then subtract 3, we get 13. This agrees with the terms of the given sequence.

If we begin with 13, mult. it by 4 and then subtract 3, we get 49. This agrees with the terms of the given sequence.

Remove the first term, 2, and then the remaining terms follow the given procedure for finding terms.


7 0
3 years ago
Read 2 more answers
The total cost of four movie tickets is $33.40. What is the cost of one ticket?
hjlf
The answer is 8.35. Have a nice day hope this helped!
3 0
3 years ago
Read 2 more answers
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