In order to check if the lines are perpendicular, we need to check if their slopes have the following relation (to find the slope we can use the slope-intercept form y = mx + b):
A.
In this option, y = -5 is an horizontal line and x = 2 is a vertical line, therefore they are perpendicular.
B.
First let's find the slope of each line:
These slopes obey the relation stated above, so the lines are perpendicular.
C.
These slopes obey the relation stated above, so the lines are perpendicular.
D.
These slopes obey the relation stated above, so the lines are perpendicular.
E.
These slopes don't obey the relation stated above, so the lines aren't perpendicular.
The correct options are A, B, C and D.
B : subtractions
because first of all is What is inside the arc
Answer:
0.8 = 80% probability that they did in fact study for the test.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Passed the exam.
Event B: Studied.
Probability of passing the test:
80% of 60%(Studied).
30% of 100 - 60 = 40%(did not study). So
Probability of passing the test studying:
80% of 60%, so:
Find the probability that they did in fact study for the test with this knowledge in hand.
0.8 = 80% probability that they did in fact study for the test.
Answer:
C. x = -2
Step-by-step explanation:
A proper graph of the function will have an open circle at (-2, 5/3), so you should be able to read the answer from the graph.
The factorization is ...
... f(x) = 5(x +2)/((x +5)(x +2))
The removable discontinuity is created by the factor (x+2)/(x+2), which is undefined at x = -2.