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3 years ago

What is the distance from Mto N?

Mathematics

1 answer:

aivan3 [116]3 years ago

5 0

9514 1404 393

Answer:

C. 10 units

Step-by-step explanation:

The distance MN can be found using the distance formula.

d = √((x2 -x1)² +(y2 -y1)²)

d = √((2 -(-4))² +(3 -(-5))²) = √(6² +8²) = √100 = 10

The distance from M to N is 10 units.

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Verify:<br>cos(2A)=(cotA-tanA)/cscAsecA

kolbaska11 [484]

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Step-by-step explanation:

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3 years ago

MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!

Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

$x+y=79$ and $1.65x+1.36y=118.17$

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Part d) The value of y represent the number of boxes of juice that were sold $y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold $x=37\ packages\ of\ Twinkies$

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

$x+y=79$ ------> equation A

$1.65x+1.36y=118.17$ ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

$-1.65(x+y)=-1.65*79$

$-1.65x-1.65y=-130.35$ ------> equation C

Adds equation C and equation B

$-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42$

Find the value of x

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$x+42=79$

$x=79-42=37$

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

$y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold

$x=37\ packages\ of\ Twinkies$

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