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vodomira [7]
3 years ago
12

Two of the vertices of a triangle are located at (6,0) and (5,10) on the coordinate plane. The third vertex is located at (x,20)

, where x is a negative value. The area of the triangle is 60 square units.
Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, write an equation that can be used to find the value of x .
PLEASE I NEED HELP! ASAP I WOULD REALLY APPRECIATE IT!!
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0
The answer is 1,1 . 3,-3, 5, -3
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Answer: The book costs $10 and the pen costs $4✔️

Step-by-step explanation:

Let B the cost of the book and let P the cost of the pen.

Then we know:

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B + P = $14 } Equation 1  

We also know:  

The cost of the book is two dollars more than twice the cost of the pen.

B = 2P + $2 } Equation 2  

Now we can substitute the value of B from the equation 2 in the equation 1:

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Since we know the value of B from the equation 2, we can calculate B:

B = 2P + $2 = 2x$4 + $2 = $8 + $2 = $10 , cost of the book

Answer: The book costs $10 and the pen costs $4✔️

<h3>Verify </h3>

We can substitute these values in equations 1 and 2 and check the results:

B + P = $14 } Equation 1

$10 + $4 = $14 ✔️check!

B = 2P + $2 } Equation 2  

$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!

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