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notsponge [240]
3 years ago
10

Erica (35 kg ) and Danny (44 kg ) are bouncing on a trampoline. Just as Erica reaches the high point of her bounce, Danny is mov

ing upward past her at 4.9 m/s . At that instant he grabs hold of her.
Mathematics
1 answer:
Tema [17]3 years ago
5 0

Answer:

v= 2.66 m/sec

Step-by-step explanation:

supposing we have to find their speed just as he grabs her.

Applying law of conservation of Energy

That is

p_i= p_f

Initial momentum = p_i = 35×0+ 44×4.9= 210.6 kg.m/sec.

final momentum p_f= (35+44)v

let the final velocity of combined body be v

therefore,

79v= 210.6

v= 2.66 m/sec.

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Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
TiliK225 [7]

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

3y = - 12     Divie both sides by 3

3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

8 0
3 years ago
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
Artyom0805 [142]

Answer:

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

 

 

Set up equation before taxes.

 

y = x - 1500        eq1

 

 

Set up equation for total tax paid.

 

0.065x + 0.06y = 378.75         eq2

 

 

Substitute eq1 into eq2.

 

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

       x = 3750

 

Substitute this value of x into eq1.

 

y = 3750 - 1500

y = 2250

 

 

The hotel charge in city one is $3750 and the hotel charge in city two is $2250

3 0
3 years ago
the sum of three numbers is 128.The third number is 10 more than the first .The second number 4 times the third number. what are
Ray Of Light [21]
128 = a + + 4(a + 10) + (a + 10)
128 = a + 4a + 40 + a + 10
128 = 6a + 50
128-50 = 6a
78 = 6a
13 = a

1st = a = 13
2nd = 4(a + 10) = 4(23) = 92
3rd = a + 10 = 23
3 0
3 years ago
Pleaseee helppp I don't understand thissd
Bess [88]

Very simple.

Let's say you have an equation.

f(x) = x^2

You are asked to find the value for y when x equals 1.

The new equation is: f(1) = (1)^2

f(1) = 1

When x = 1, y = 1.

The same concept is applied here.

In the graph, where does x equal 0?

It equals zero at the origin.

Is there any y-value associated with 0?

Yes, there is.

Y equals five when x equals 0.

So

h(0) = 5

6 0
3 years ago
Read 2 more answers
Please help. The picture is below
mihalych1998 [28]

Answer:

yea you got it right its c

Step-by-step explanation:

4 0
3 years ago
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