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bazaltina [42]
2 years ago
8

Solve the system by adding. Drag and drop numbers into the coordinates to complete the ordered pair.

Mathematics
2 answers:
Mademuasel [1]2 years ago
8 0

Answer:

(-3,5)

Step-by-step explanation:

4x + 3y = 3

x − 3y = −18

Solve by addition/Elimination

x = -3

y = 5

So,

The solution of the system is (-3,5).

HELPPP PLZZ (I got you)

<u><em>Ace </em></u>

jeka942 years ago
6 0

Answer: x = 4 , y = 6

Step-by-step explanation:

4 x = 3 y − 2  ,  18 = 3 x + y

Solve for  y

in the second equation.

Tap for more steps...

4 x = 3 y − 2 y = 18 − 3 x

Replace all occurrences of  

y  in  4 x = 3 y − 2

with  

18 − 3 x . 4 x = 3 ( 18 − 3 x ) − 2 y = 18 − 3 x

Simplify  

3 ( 18 − 3 x ) − 2  

Tap for more steps...

4 x = − 9 x+ 52 y = 18 − 3 x

Move all terms in  

4 x = − 9 x + 52

to the left side and simplify.

Tap for more steps...

13 x − 52 = 0 y = 18 − 3 x

Solve for  x

in the first equation.

Tap for more steps...

x = 4 y = 18 − 3 x

Replace all occurrences of  

x  in  y = 18 − 3 x

with  4 . x = 4 y = 18 − 3 ⋅ 4

Simplify  

18− 3 ⋅ 4  

Tap for more steps...

x = 4 y = 6

The solution to the system of equations can be represented as a point.

( 4 , 6 )

The result can be shown in multiple forms.

Point Form:

( 4 , 6 )

Equation Form:

x = 4 , y = 6

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The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.
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A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the island along a perfectly stra
Artemon [7]

Answer:

The distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P

Step-by-step explanation:

We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land

Distance of the small resort on the island from point p on the shoreline = 3 miles

Location of the closest source of fresh water is 10 miles along the shoreline from p

∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides

Height = 3 miles

Base = 10 miles and

Hypotenuse = \sqrt{3^2 + 10 ^2} = \sqrt{109} =  10.44 \, m

To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get

Costs:

Height =  Water route = 2.3 × 3 miles = 6.9

Base = Land route = 1 × 10 miles = 10

Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012

Therefore, the two routes are either

10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or

Directly to the small resort through 10.44 miles across the water with cost = 24.012

Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.

That is the distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.

7 0
3 years ago
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