Answer:
This is a simple slope intercept form equation: y=ax+b
Where a is the slope and b is the y-intercept, but in this problem the y-intercept is 0 so it is no shown.
The line on the graph would be negative (downward) because of the negative and would be going down by a slope of -5.
-down 5 over 1 ( rise over run )
Answer:
Step-by-step explanation:
We have the coordinates
J (2,5)
K (4,19)
Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,
Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2
Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4
The coordinates of the point is
(2.2,13.4)
Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
B) -0.4 seconds
Step-by-step explanation:
Laps: 25
Goal: -10 seconds to all 25 laps combined (10 seconds difference => -10)
divide by total laps
-10 /25 = -0.4s difference each lap
