Slopes of perpendicular lines are opposite reciprocals of each other. The slope of the given equation (which is in slope-intercept form) is 1, the invisible coefficient of x. The opposite reciprocal of 1 is -1, thus the slope of a line perpendicular to the line y = x + 4 is -1.
Hope this helps.
Answer:
slope = -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange - 9x - 6y = 18 into this form
Add 9x to both sides
- 6y = 9x + 18 ( divide all terms by - 6 )
y = - x - 3 ← in slope- intercept form
with slope m = -
Answer:
for first parallelogram
Area of parallelogram = b*h= 3.5*2= 7square unit
for second parallelogram
Area of parallelogram = b*h = 1.8 square unit
or, 3*h = 1.8
h= o.6unit
For third parallelogram
Area of parallelogram = b*h = 20.4square unit
4*b= 20.4
b=5.1 unit
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Answer is the first choice. you can tell by the notation.
Answer:
0.2915
Step-by-step explanation:
Let W represent water and D represent Dying probability
W = water
D = die
->If with water, it will die with probability 0.4
P(W & D) = 0.82 x 0.4 = 0.328
->Without water the plant will die with probability 0.75
P(W ' & D) = 0.18 x 0.75 = 0.135
Taking sum of the above values with water and without water.
P(D) = P(W & D) + P(W ' & D) = 0.4643
P(W ' | D) = P(W ' & D) / P(D)
= 0.135 /0.463
= 0.2915 ≈ 29.15%
Thus, the probability the neighbor forgot to water is 0.2915