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mojhsa [17]
3 years ago
10

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 m/sec, while the cat can run at

a speed of 24 m/sec.
a
How soon will they meet if they simultaneously start running towards each other?

Please help with this question! I need the answer by tomorrow. Thank you!
Mathematics
2 answers:
Degger [83]3 years ago
6 0

Answer:

3.(703)

Step-by-step explanation:

masha68 [24]3 years ago
4 0

Answer:

The dog will catch the cat at  33.33 sec

Step-by-step explanation:

Let

x------> distance the cat runs before being caught by the dog,

Remember that

The speed is equal to divide the distance by the time

v=d/t

solve for t

t=d/v

so

equate the time

x/24=(200+x)/30

30x=24(200+x)

30x=4,800+24x

30x-24x=4,800

x=4,800/6=800 m

t=d/v=800/24=33.33 sec

or

t=(800+200)/30=1,000/30=33.33 sec

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bija089 [108]
The answer is 35 just do 7x5
5 0
3 years ago
Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

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and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet lo
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3 3/6 + 2 2/6

this gets you 5 5/6.

Take this away from 8:

8 - 5 5/6 = 2 1/6

So 2 1/6 of the board is left over.
6 0
3 years ago
7=14x-42y solve equation for y
dedylja [7]
7 = 14x - 42y
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or we could write it as  y = (1/3)x - 1/6


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