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blagie [28]
3 years ago
12

Y = 10 x = 3 x + y + y + 17 + y = ? Thanks!!

Mathematics
2 answers:
siniylev [52]3 years ago
5 0
To answer this we will first substitute for each variable and den solve. lets do it:-

x + y + y + 17 + y = ? 

y = 10

x + 10 + 10 + 17 + 10 =  

x = 3

3 + y + + y + 17 + y = ?

Now lets write it out:-

3 + 10 + 10 + 17 + 10 = ?

Now lets solve step by step:-

3 + 10 = 13 
13 + 10 = 23
23 + 17 = 40
40 + 10 = 50

So, 3 + 10 + 10 + 17 + 10 (x + y + y + 17 + y) =  50

Hope I helped ya!! xD 
Varvara68 [4.7K]3 years ago
3 0
Substitute:- 3 + 10 + 10 + 17 + 10 =
 
Solve:- 3 + 10 + 10 + 17 + 10 = 50
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A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500
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Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking,\frac{d(w)}{dt} = 3 ft/sec

Rate at which the man is walking,\frac{d(m)}{dt} = 2 ft/sec

Collective rate of both, \frac{d(m+w)}{dt} = 5 ft/sec

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Now,

Distance traveled by man and woman are m and w ft respectively.

⇒ m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft

⇒ w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\  ft

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate \frac{dh}{dt} .

Lets calculate h.

Applying Pythagoras formula.

⇒ h^2=(m+w)^2+500^2  

⇒ h=\sqrt{(2400+2700)^2+500^2} = 5124.45

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ h^2=(m+w)^2+500^2

⇒ 2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt}  + \frac{d(500)}{dt}

⇒ \frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}                         ...as \frac{d(500)}{dt}= 0

⇒ Plugging the values.

⇒ \frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}                       ...as \frac{d(m+w)}{dt} = 5 ft/sec

⇒ \frac{d(h)}{dt} =4.9761  ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

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Step-by-step explanation:

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