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
#SPJ1
Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
Where
μ is the mean, x is a data of the population and 
is the standard deviation
In this case
Then the z-score is
Answer:
2(Jill) - 20 + (Jill) = 205
3(Jill) = 225
(Jill) = 75
(Jack) = 2(75) - 20 => 150 - 20 = 130
Jill= 75
Jack= 130
Step-by-step explanation:
Answer: D.
Step-by-step explanation: First you find the common factor, which is 5x³y. Then you write in parenthesis what's left over from each term. So the answer should look like: 5x³y(-3x⁵-4z+9).
Answer:
f(x) = -3x + 10
Step-by-step explanation:
Substitute values to find b;
y=mx+b
y=-3x+b
<em>Replace X and Y</em>
4=-3(2)+b
4=-6+b
<em>Swap sides to set equal to b. Swapping causes sign change</em>
4+6=b
10=b
