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Harrizon [31]
1 year ago
9

Find the minimum distance between the point (-3,2) and the line y = -x + 1

Mathematics
1 answer:
Natasha2012 [34]1 year ago
4 0

The minimum distance  between the point(-3,2) and the line y = -x + 1  is \sqrt{2} units.

<h3>What is a line segment?</h3>

The line that joins  two points on a cartesian plane is a line segment.

Analysis:

The formula for calculating distance between a line and a point is

d = \frac{Ax1 + By1 + c}{\sqrt{A^{2} + B^{2}  } }

where A = coefficient of x term of the line, B = coefficient of y in the line and C is the constant term of the line.

x1 and y1 are coordinates of the point.

for the line y = -x + 1 which is  = y + x -1 = 0, A = 1, B = 1, C = -1, x1 = -3, y = 2
d = \frac{1(-3) + 1(2) + (-1)}{\sqrt{(-3)^{2}  + 2^{2} } }= \sqrt{2} units

In conclusion, the distance between the point and the line is  \sqrt{2} units

Learn more about distance between line segments: brainly.com/question/2437195

#SPJ1

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3 years ago
Ruby weighs 88 lbs. Her weight is 12 lbs. less than half her mother's weight. How much does her mother weigh?
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8 0
3 years ago
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netineya [11]

it hasn't been specified which ticket the question's is asking but I'm guessing the price of the adult ones so $30.00

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let's simplify that to algebra

children tickets = c adults tickets = a

3c + 2a = $105.00

we know that 1c is 0.5a because each child ticket is half of an adults one <em>as stated in the question</em>

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so now <em>3c = 1.5a</em>

so we can substitute and have like terms

meaning 1.5a + 2a= $105

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8 0
2 years ago
2028.863 rounded to the nearest hundredth
ASHA 777 [7]

Answer:

2028.863 to the nearest hundredth

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So Its 2028.86

3 0
3 years ago
Read 2 more answers
|w| + 1.2 &gt; 0.8 solution or no solution
Tasya [4]

You said              | w | + 1.2 > 0.8

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The absolute value of a number is always positive.
EVERY value of 'w' has an absolute value greater than -0.4 .
EVERY number is a solution to the equation.
There are an infinite number of them.
 
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