The minimum distance between the point(-3,2) and the line y = -x + 1 is 
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 = 
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 = 
= units
In conclusion, the distance between the point and the line is units
Learn more about distance between line segments: brainly.com/question/2437195
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Let the original price of the sweater be = X
Then the amount Jerome pays for the sweater after 20% discount = X - (20X/100)
= X - 0.2X
= 0.8X
Now on this price the 8.25% tax needs to be added to get to the amount actually paid by Jerome.
So,
0.8X + [(8.25/100) * (0.8X) = 25.1
This is the equation from which the actual price of the sweater bought by Jerome can be determined.
So
0.8X + [(.0825) * ( 0.8X) = 25.1
0.8X + 0.066X = 25.1
0.866X = 25.1
X = 25.1/0.866
= 28.98
So the actual price of the sweater is $28.98.
Answer:
equilateral triangle
Step-by-step explanation:
If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.
If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x
Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.
The two numbers are 4 and 16.
Answer:
Assuming you mean baseball in stead of basketball, if must be the 5th floor.
Step-by-step explanation:
"The girl on the fifth floor thinks soccer is boring" implies that on the 5th floor lives the football or baseball fan. However, it cannot be the football fan since it is already known that she lives on 6th.
So the baseball fan, which is Jean, lives on 5th.
