Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7
guajiro [1.7K]
I'll do the first one to get you started.
Find the slope of the line between R (6,-2) and S (-1,8) to get
m = (y2-y1)/(x2-x1)
m = (8-(-2))/(-1-6)
m = (8+2)/(-1-6)
m = 10/(-7)
m = -10/7
The slope of line RS is -10/7
Next, we find the slope of line DF
m = (y2 - y1)/(x2 - x1)
m = (4-11)/(11-(-1))
m = (4-11)/(11+1)
m = -7/12
From here, we multiply the two slope values
(slope of RS)*(slope of DF) = (-10/7)*(-7/12)
(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)
(slope of RS)*(slope of DF) = 10/12
(slope of RS)*(slope of DF) = 5/6
Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.
I'll let you do the two other ones. Let me know what you get so I can check your work.
<span> 3a^3+8a-6
+4a^2-9a+11
=3a^3+4a^2-a+5
</span>
<span>C(15,9) * (1/2)^9 * (1/2)^6 = 5005/32768 = .153 approx</span>
Answer:
600,000(1+0.03)^20 that’s your equation. use a calculator. remove decimals from your answer because its not possible
Based on the information given the percentage increase is 5%.
<h3>Percentage increase</h3>
Using this formula
Percentage increase=Population several years later-Population for year/Population for one year×100%
Let plug in the formula
Percentage increase=236,360-225,000/225,000×100
Percentage increase=5%
Inconclusion the percentage increase is 5%.
Learn more about percentage increase here:brainly.com/question/11360390
