Answer:
Step-by-step explanation:
AM is perpendicular to BD because they from a right angle and the definition of perpendicular is when two lines meet they form a right angle. AM goes straight down and BD form the horizontal line. These two lines form a right angle so AM is perpendicular to BD.
Answer:
y = x - 5
Step-by-step explanation:
Given the point, (10, 5), and the slope, m = 1:
Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:
y = mx + b
5 = 1(10) + b
5 = 10 + b
Subtract 10 from both sides to isolate b:
5 - 10 = 10 - 10 + b
-5 = b
The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).
Therefore, given the slope, m = 1, and the y-intercept, b = -5:
The equation of the line in slope-intercept form is: y = x - 5.
Answer:
0.9905,0.9837,0.8066
Step-by-step explanation:
Given that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).
Each shaft is independent of the other and probability for non conforming is the same for each trial.
Hence X the among these that are nonconforming and can be reworked. is Bin with n =200 and p = 0.10
a) 
b) 
c) 
Answer:
year 2139
Step-by-step explanation:
The population will double when the factor e^(.005t) is 2.
e^(.005t) = 2
.005t = ln(2)
t = ln(2)/0.005 = 138.6
The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.
