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shepuryov [24]
3 years ago
7

What is the equation?

Mathematics
1 answer:
professor190 [17]3 years ago
8 0
Y= is the answer 3/2x -2
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What is the solution to the system? <br><br> (___,___)
Rina8888 [55]
For the first line we have a slope of (y2-y1)/(x2-x1)

(2--2)/(1--1)=4/2=2 so we have:

y=2x+b, now solve for b with either of the points, I'll use: (1,2)

2=2(1)+b

b=0 so the first line is:

y=2x

Now the second line:

(1-10)/(4--2)=-9/6=-3/2 so far then we have:

y=-3x/2+b, using point (4,1) we solve for b...

1=-3(4)/2+b

1=-6+b

b=7 so 

y=-3x/2+7 or more neatly...

y=(-3x+14)/2

...

The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...

2x=(-3x+14)/2

4x=-3x+14

7x=14

x=2, and using y=2x we see that:

y=2(2)=4, so the solution occurs at the point:

(2,4)


6 0
3 years ago
A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f
kvasek [131]

Answer:

\frac{dr}{dt}=0.11062ft/sec

Step-by-step explanation:

From the question we are told that:

Radius r=5ft

Height H=15ft

Rate R=15ft/3sec =5ft/s

Surface Radius R_{surf}=2.2ft

Generally the equation for Volume is mathematically given by

 V=\frac{1}{3}\pi*r^2h

Since radius to height ratio gives

 \frac{r}{h}=\frac{5}{15}

 \frac{r}{h}=\frac{1}{3}

 h=3r

Therefore

 V=\frac{1}{3}\pi*r^2(3r)

 V=\pi r^3

Generally the equation for Change of Volume is mathematically given by

 \frac{dv}{dt}=\pi \frac{d}{dt}(r^3)

 \frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}

 \frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}

 \frac{dr}{dt}=\frac{5}{45.62}

 \frac{dr}{dt}=0.11062ft/sec

3 0
3 years ago
Please help me i really need help please help me please i really need help please help me please
umka21 [38]

Answer:

hello hello hello is there anybody in there

Step-by-step explanation:

6 0
3 years ago
Need help for 18) 21) Solve each equation and check. Show all work please
Alexxandr [17]
18) (10)7d/10=35(10)
7d/7=350/7
d=50
21) 3/4 w=27
(4/3)3/4 w=27(4/3)
w=36
Hope this helps!
5 0
3 years ago
There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 4 slices, how many pizzas
Sonbull [250]

Answer:

5 pizzas

Step-by-step explanation: If you have 10 people and each will get two slices then you will need 20 pieces of pizza because 10x2 is 20. If each pizza has 4 slices then you will need 5 pizzas because 4/20 is 5.

6 0
3 years ago
Read 2 more answers
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