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kirza4 [7]
3 years ago
12

Menza has a $500 budget for the school party. She paid $150 for the decorations. Food will cost $5.50 per student. Which inequal

ity represents the number of student, s, that can attend the party?
Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

Answer:

500 is greater than or equal to 150 + 5.50x

Step-by-step explanation:

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Triangle RST has vertices located at R (2,3), S (4,4), and T (5,0).
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The slope of RS, RT, and ST are 1/2, -1 and -4 respectively

<h3>Triangle and slopes</h3>

Given the folllowing coordinates R (2,3), S (4,4), and T (5,0) os triangle RST

The formula for calculating the distance is expressed as:

  • D = √(x2-x1)²+(y2-y1)²

For length RS:

D = √(4-3)²+(4-2)²

RS = √1+4
RS= √5

For length RS:

RT = √(0-3)²+(5-2)²

RT = √9+9
RT= 3√2

For length ST:

D = √(0-4)²+(5-4)²

ST = √16+1
ST= √17

Since all the sides are different, the triangle is a scalene triangle.

For the slope of the sides

For the side RS;

Slope = 4-3/4-2

Slope of RS = 1/2

For the side RT:

Slope = 0-3/5-2

Slope of RT = -3/3 = -1

For the side ST

Slope of ST = 0-4/5-4
Slope of ST = -4/1 = -4

Hence the slope of RS, RT, and ST are 1/2, -1 and -4 respectively

Learn more on slope and distance here: brainly.com/question/2010229

6 0
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