0 4 Find the shortest distance d from the point 6 0 4 to the plane x y z 4 Solution Given the equation of the plane x y z 4
Using the point slope form we have y c m x 0 y mx c where c is the y intercept This is called the slope intercept form of a line Note If d is the x intercept then the slope intercept form of the equation of the line is y m x d Intercept Form If a 0 and 0 b are the x and y intercepts of a line respectively Yes a fraction can also be a coefficient For example in the expression 3 4 x 2 3 4 is a fraction which is the coefficient of x What is the Coefficient of 0 The coefficient of 0 is 0 itself as 0 can be written as 0 times some variable say 0x Then the coefficient of x in 0x is 0 Can a Coefficient be Zero
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Given that Focus 0 0 and directrix y 4 Let us suppose that there is a point x y on the parabola Its distance from the focus point 0 0 is x 0 2 y 0 2 Its distance from directrix y 4 is y 4 By the definition of parabola these two distances are the same x 0 2 y 0 2 y 4 Squaring on In linear algebra the eigenvectors of a square matrix are non zero vectors which when multiplied by the square matrix would result in just the scalar multiple of the vectors i e a vector v is said to be an eigenvector of a square matrix A if and only if Av v for some scalar
Event A it s a 0 4 40 chance of raining today Event B I will go outside and it has a probability of 0 5 50 A conditional probability looks at these two events in relationship with one another the probability that it is both raining and I will go outside Let us understand the conditional probability formula using solved examples Example To calculate the x intercept of any line for example the line y 2x 4 put y 0 in the equation of a line Solution 0 2x 4 4 2x 2 x So the x intercept of the line y 2x 4 is 2 Similarly by substituting x 0 we can find the y intercept y 2 0 4 y 4
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8 comes under the thousandths column therefore the place value of 8 is 8 thousandths or 8 1000 0 008 Example 2 Find the place value of 4 and 8 in the given decimal number 47 83 Solution If we refer to the decimal place value chart then we see that 4 comes under the tens place So its place value is 4 tens or 40 Example 1 A basketball player can shoot a ball into the basket with a probability of 0 6 What is the probability that he misses the shot Solution We know that success probability P X 1 p 0 6 Thus probability of failure is P X 0 1 p 1 0 6 0 4 Answer The probability of failure of the Bernoulli distribution is 0 4
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https://www.cuemath.com › questions
Find the shortest distance d from the point 6 0 4 to the plane x y z 4 Solution Given the equation of the plane x y z 4
https://www.cuemath.com › geometry › equation-of-a-straight-line
Using the point slope form we have y c m x 0 y mx c where c is the y intercept This is called the slope intercept form of a line Note If d is the x intercept then the slope intercept form of the equation of the line is y m x d Intercept Form If a 0 and 0 b are the x and y intercepts of a line respectively
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0 4 - Example To calculate the x intercept of any line for example the line y 2x 4 put y 0 in the equation of a line Solution 0 2x 4 4 2x 2 x So the x intercept of the line y 2x 4 is 2 Similarly by substituting x 0 we can find the y intercept y 2 0 4 y 4
