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Harrizon [31]
2 years ago
9

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

Mathematics
1 answer:
Natasha2012 [34]2 years 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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Line AB intersects line CD at point F, with a ray FE forming a right angle EFB. What angle relationship best describes angles AF
vova2212 [387]

Based on the positions of angles AFC and EFC, the relationship between them is a Complimentary angle.

<h3>How are AFC and EFC related?</h3>

Angles AFC and EFC are complimentary angles because complimentary angles are angles that add up to 90 degrees.

Looking at the shape, Line FC divides the right angle to create angles AFC and EFC so when these are added together, they equal 90 degrees.

In conclusion, angles AFC and EFC are complimentary.

Find out more on complimentary angles at brainly.com/question/20728641.

#SPJ1

4 0
1 year ago
Midpoints <br> B is the midpoint of AC , find x.
PolarNik [594]

B is the midpoint which means both sides are equal to each other:

5x = 3x + 4

Subtract 3x from both sides

2x = 4

Divide both sides by 2

X = 2

4 0
2 years ago
Read 2 more answers
Factor -8 out of 56a-64 <br> PLEASE HELP
Pachacha [2.7K]

Answer:

-8(8-7a)

Step-by-step explanation:

56a-64=-8(8-7a)

7 0
2 years ago
If ∠A and ∠B are complementary, find the value of x given that ∠A=3x-2 and ∠B=x+12
xxMikexx [17]

Answer:

x=20 degrees

Step-by-step explanation:

complementary means the angles equal 90 degrees

so ∠A+∠B=90 degrees

∠A=3x-2 and ∠B=x+12

so subsitute

(3x-2)+(x+12)=90

then solve for x

4x+10=90

4x=80

x=20 degrees is your answer

6 0
2 years ago
does anybody have an easy way of finding the factors of a number without spending a long time on it? (a number like 288)
Natali [406]
There are quite a few websites that have factor lists. Also, if you can find the biggest number that goes into it, then all of the factors of that number go into it as well.
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3 years ago
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