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:
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
Answer:
y = 9.5
Step-by-step explanation:
Express the ratios in fractional form, that is
= 
( cross- multiply )
1.5(2y + 5) = 36 ( divide both sides by 1.5 )
2y + 5 = 24 ( subtract 5 from both sides )
2y = 19 ( divide both sides by 2 )
y = 
= 9.5
Answer:
0.50
Step-by-step explanation:
we know that
Observing the graph
we have the following points
(1,3),(2,4),(3,9),(4,7),(5,2),(6,18)
Using a Excel tool (Correl function)
The correlation coefficient is equal to r=0.605639
see the attached table
therefore
The correlation coefficient that best matches the data plotted on the graph is 0.50
First, express the mixed numbers as simple fractions:
1 3/5 = (1x5+3)/5 = 8/5
1 9/10= (10x1+9)/10 = 19/10
Add both:
The sum is greater than 3 and less than 4.
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