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skad [1K]
3 years ago
13

A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

y  = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: ( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )

So perpendicular bisector of this line  is simply a line with slope −1/3 that passes through point (5, 4)

y - 4 = -1/3 (x-5)=

y  =  −1/3x+17/3

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What is the solution of the system defined by y= -x+5 and 5x + 2y = 14?
telo118 [61]
          y = -x + 5
5x + 2y = 14

     5x + 2(-x + 5) = 14
5x + 2(-x) + 2(5) = 14
       5x - 2x + 10 = 14
              3x + 10 = 14
                    - 10  - 10
                      3x = 4
                       3     3
                        x = 1¹/₃
      y = -x + 5
      y = -1¹/₃ + 5
      y = 3²/₃
(x, y) = (-1¹/₂, 3²/₃)
5 0
3 years ago
From least to greatest -2.1,-2,-3,0 help plz​
Luba_88 [7]

Answer:

-3, -2.1, -2, 0

Step-by-step explanation:

Least to greatest

Hope this helped you!

6 0
3 years ago
Read 2 more answers
40 POINTS AND BRAINLIEST!! I NEED THIS DONE ASAP
inna [77]

(a) Answer: One solution.

Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."

(b)  Answer: Infinitely many solutions.

Explanation:

2x + 3y = 5.5

4x + 6y = 11   | divide by 2

-->

2x + 3y = 5.5

2x + 3y = 5.5

--> equations are identical.

2x + 3y = 2x + 3y

so any (x,y) will satisfy this equation. This means infinitely many solutions.

(c) Answer: One solution

Explanation:

Continuing the two lines it becomes obvious they will cross at one point (the solution)

(d) Answer: No solution

Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.


8 0
3 years ago
True false test consists of 10 questions how many ways can a student mark one answer to each answer
ololo11 [35]
2^10 = 1024 possible ways to answer the test
8 0
3 years ago
Don't answer if you don't know
SIZIF [17.4K]
0.10d + 0.25q = 3.55
q = d + 3

0.10d + 0.25(d + 3) = 3.55
0.10d + 0.25d + 0.75 = 3.55
0.10d + 0.25d = 3.55 - 0.75
0.35d = 2.80
d = 2.80/0.35
d = 8.....8 dimes

q = d + 3
q = 8 + 3
q = 11 <=== 11 quarters
3 0
3 years ago
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