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Leto [7]
3 years ago
13

Solve this system using the linear combination method. Show your work.

Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

Let's solve for x.

4x+2y=5

Step 1: Add -2y to both sides.

4x+2y+−2y=5+−2y

4x=−2y+5

Step 2: Divide both sides by 4.

4x

4

=

−2y+5

4

x=

−1

2

y+

5

4

Let's solve for x.

−4x−5y=7

Step 1: Add 5y to both sides.

−4x−5y+5y=7+5y

−4x=5y+7

Step 2: Divide both sides by -4.

−4x

−4

=

5y+7

−4

x=

−5

4

y+

−7

4

Answer:

x=

−5

4

y+

−7

4

Step-by-step explanation:

I hope this helps

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a dock is 5 feet above water. suppose you stand on the edge of the dock and pull a rope to a boat at a constant rate of 2 ft/s.
Firdavs [7]

Answer:

The boat is approaching the dock at a speed of 3.20 ft/s when it is 4 feet from the dock.

Step-by-step explanation:

The diagram of the situation described is shown in the attached image.

The distance of the boat to the dock along the water level at any time is x

The distance from the person on the dock to the boat at any time is y

The height of the dock is 5 ft.

These 3 dimensions form a right angle triangle at any time with y being the hypotenuse side.

According to Pythagoras' theorem

y² = x² + 5²

y² = x² + 25

(d/dt) y² = (d/dt) (x² + 5²)

2y (dy/dt) = 2x (dx/dt) + 0

2y (dy/dt) = 2x (dx/dt)

When the boat is 4 ft from dock, that is x = 4 ft,

The boat is being pulled at a speed of 2 ft/s, that is, (dy/dt) = 2 ft/s

The speed with which the boat is approaching the dock = (dx/dt)

Since we are asked to find the speed with which the boat is approaching the dock when the boat is 4 ft from the dock

When the boat is 4 ft from the dock, x = 4 ft.

And we can obtain y at that point.

y² = x² + 5²

y² = 4² + 5² = 16 + 25 = 41

y = 6.40 ft.

So, to the differential equation relation

2y (dy/dt) = 2x (dx/dt)

when x = 4 ft,

y = 6.40 ft

(dy/dt) = 2 ft/s

(dx/dt) = ?

2 × 6.40 × 2 = 2 × 4 × (dx/dt)

25.6 = 8 (dx/dt)

(dx/dt) = (25.6/8) = 3.20 ft/s.

Hope this Helps!!!

4 0
3 years ago
Jeff is shopping for a new T-shirt at a clothing store. The graph shows the total price for the shirts depending on how many T-s
makkiz [27]

Answer:

$ 63

Step-by-step explanation:

All you have to do is see what point of the line falls right above 7, and then see what number corresponds to that point

5 0
3 years ago
PLEASE HELP!!!!!
poizon [28]
The awnser is A. hope this helps
3 0
3 years ago
Read 2 more answers
HELP ME PLEASEEEE, I need help check the picture and if its right i will mark brainliest
hichkok12 [17]

Answer:

x=2

Step-by-step explanation:

5 0
3 years ago
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Which statement is true for the equation 4n – 3 = 4n – 2 Select one: a. It has no solution. b. It has one solution. c. It has tw
oksian1 [2.3K]
4n-3=4n-2  subtract 4n from both sides

-3=-2 

Since -3!=-2, there is no solution.

So your answer is a.
7 0
3 years ago
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