Since angle CDA + angle ABC = 180 then DC is Parallel to AB by transversal of parallel line theorem c-pattern for co-interior angles. to help visualize it draw it
Answer:
y = x - 2
Step-by-step explanation:
Given coordinate:
( − 6 , − 1 )
Equation of the given line is 6x− y = 7
Unknown:
Equation of the line that passes through the point and is perpendicular = ?
Solution:
A perpendicular line will have a slope that is of negative inverse to the one given;
6x - y = 7
-y = -6x + 7
y = 6x - 7
According to y= mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
Therefore, the slope of the line = 6
Perpendicular to this =
The new line will be;
Let find the intercept;
-1 = x (-6) + c
-1 = 1 + c
c = -2
The new line is;
y = x - 2
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Given g(x) = + 5
Then this is the graph of f(x) shifted vertically up by 5 units
Complete Question
Assume that random guesses are made for 7 multiple-choice questions on a test with 5
choices for each question, so that there are n=7 trials, each with probability of success (correct) given by p=0.20.
Find the probability of no correct answers.
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The number of trial is n = 7
The probability of success is p = 0.20
Generally the probability of failure is
Given that this choices follow a binomial distribution as there is only two probabilities i.e success or failure
Then the probability is mathematically represented as
Here
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