Answer:
Step-by-step explanation:
Find the slope of the line AB.
<u>The slope:</u>
- m = (11 - 9)/(11 - 7) = 2/4 = 1/2
Since the altitude is perpendicular to AB, it has a slope of -2.
The line with the slope of -2 and passes through point C(6, 16).
<u>Use point-slope equation to find the line:</u>
- y - 16 = -2(x - 6)
- y - 16 = -2x + 12
- y + 2x = 16 + 12
- 2x + y = 28
A = 2, B = 1, C = 28
Answer:
-8y+24
Step-by-step explanation:
8(3−y)
=(8)(3+−y)
=(8)(3)+(8)(−y)
=24−8y
=−8y+24
Answer: room 101 and room 107
Step-by-step explanation:
In room 101, the ratio of boys to girls is 16:12. This is further simplified to its lowest fraction by dividing by 4. It becomes 4:3
In room 104, the ratio of boys to girls is 20:9. This cannot be further simplified to its lowest fraction.
In room 107, the ratio of boys to girls is 12:9. This is further simplified to its lowest fraction by dividing by 3. It becomes 4:3
Therefore, room 101 and room 107 have the same ratio.
Answer:
-7/6
Step-by-step explanation:
The slope formula can be used with any pair of points.
m = (y2 -y1)/(x2 -x1)
m = (1 -8)/(-2 -(-8)) = -7/6
The slope of the line is -7/6.