Ben drinks tea at an incredible rate. He drinks 3/1/2
1 answer:
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Answer:
The equation of line perpendicular to given line and passing through point (4 , - 6) is y = - 2 x - 2
Step-by-step explanation:
Given as :
The equation of line is
y = x - 3
Now, standard equation of line is
y = m x + c
where m is the slope of line and c is the y-intercept
So, comparing with standard line equation with given line equation
∴ slope of given line = m =
Again
other line is perpendicular to given line and passes through point (4 , - 6)
Let The slope of other line = M
∵ Two lines are perpendicular
∴ <u>From perpendicular lines property , the product of lines = - 1</u>
i.e m × M = -1
Or, × M = -1
Or M =
∴ M = - 2
So, The slope of other line = M = - 2
<u>Now, equation of line with slope - 2 and points (4 , - 6) in slope-point form</u>
y - = M (x -
)
Or, y - ( - 6) = ( -2) × (x - 4)
Or, y + 6 = - 2 x + 4
Or, y = - 2 x + 4 - 6
∴ y = - 2 x - 2
So, The equation of other line is y = - 2 x - 2
Hence, The equation of line perpendicular to given line and passing through point (4 , - 6) is y = - 2 x - 2 Answer
Answer:
$2.50 + $1.20x $20
Step-by-step explanation:
Monica needs to buy a gallon of milk ($2.50), but she also wants to buy yogurt which is $1.20 each. However, her total cost has to be under $20, and she doesn't know how much yogurt she can get. So the number of cups of yogurt is unknown, so it is represented by the variable x. Now, the milk and the unknown number of cups of yogurt must be less than or equal to $20.