Answer:
D. y = 4x - 6
Step-by-step explanation:
The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,
Therefore,
m₁ × m₂ = -1
Using the 2 coordinates of MN let's find the slope,
(-7, 6)(5, 3)
Therefore,
m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4
The equation that represent a line perpendicular to the line MN is
y = 4x - 6 because the slope slope(m₂) is 4.
From our formula,
4 × - 1 / 4 = - 1
So, option D meets the requirement.
Answer:
2744 pennies.
Step-by-step explanation:
Let x represent the number of pennies Al have initially.
We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be .
We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be .
Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be .
We are also told that Dani received 216 pennies. Now, we will equate 216 to and solve for x as shown below:
Therefore, Al have 2744 pennies initially.
Answer:
63.51 m
Step-by-step explanation:
TOA
let o be the height of the building
tan31°=o/110m
0=110m tan31°
o=63.51m
Amount decrease = 380 - 225 = 155
percent = 115/380 * 100 = 40.8 %