1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spayn [35]
4 years ago
13

Write an equation for the perpendicular bisector of the line segment joining the two points.

Mathematics
1 answer:
Leona [35]4 years ago
7 0
Points (1, 7)  and  (-3, 2)

Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)

The slope for the line joining the two points =  (2 - 7) / (-3 - 1) = -5/-4

Slope = 5/4

Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5

By condition of perpendicularity

For points (1, 7)  and  (-3, 2),

Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)

Midpoint for (1, 7)  and  (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)

= (-1, 9/2)

Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)

Equation  y - y₁ = m (x - x₁)

                y - 9/2 = (-4/5) (x - -1)
           
                y - 9/2 = (-4/5)(x + 1)

               5(y - 9/2) = -4(x + 1)

               5y - 45/2 = -4x - 4

                 5y =  -4x - 4 + 45/2
           
                5y + 4x = 45/2 - 4

                  5y + 4x = 22  1/2  - 4 =  18 1/2

                  5y + 4x =  37/2

                  10y + 8x = 37

The equation of the line to perpendicular bisector is 10y + 8x = 37
You might be interested in
If n is an integer, which conjecture is not true about 2n– 1? A. 2n– 1 is odd if n is positive. B. 2n– 1 is always even. C. 2n–
VladimirAG [237]
B.



Let's simply look at each conjecture and determine if it's true or false.



A. 2n– 1 is odd if n is positive: Since n is an integer, 2n will always be even. And an even number minus 1 is always odd. Doesn't matter if n is positive or not. So this conjecture is true.



B. 2n– 1 is always even: Once again, 2n will always be even. So 2n-1 will always be odd. This conjecture is false.



C. 2n– 1 is odd if n is even: 2n is always even, so 2n-1 will always be odd, regardless of what n is. So this conjecture is true.



D. 2n– 1 is always odd: 2n will always be even. So 2n-1 will always be odd. Once again, this conjecture is true.



Of the 4 conjectures above, only conjecture B is false. So the answer is B.
6 0
3 years ago
The population of a town can be modeled by P= 22,000 + 125t, where P represents the population and the t represents the number o
nlexa [21]
Given that the population can be modeled by P=22000+125t, to get the number of years after which the population will be 26000, we proceed as follows:
P=26000
substituting this in the model we get:
26000=22000+125t
solving for t we get:
t=4000/125
t=32
therefore t=32 years
This means it will take 32 years for the population to be 32 years. Thus the year in the year 2032
7 0
3 years ago
Math questionnnnn thanks if you helop
kipiarov [429]

Answer:

13

Step-by-step explanation:

Replace X with 2

Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)​

g(x) = 3(2)^2 – 2(2) + 5

Next conduct PEMDAS

Exponents are first so solve 2^2 which is 2 x 2 = 4

g(x) = 3(4) – 2(2) + 5

Next step is multiplication multiply 3 x 4 and 2x2

g(x) = 12 – 4 + 5

conduct adding and subtracting left from right

g(x) = 13

3 0
3 years ago
What is the answer to 3x-17=7x-9​
GrogVix [38]

Answer:

x=-2

Step-by-step explanation:

  -4x - 8  =   -4 • (x + 2)

5 0
3 years ago
Read 2 more answers
The shaded model represents 100%<br> Which model represents 33 1/3<br> PLZZZZZ HELPPPPPPPPPPPPPP
Vikki [24]

Answer: the picture is blurry but it would be the third option. One box out of three shaded.

Step-by-step explanation:

33 1/3 is one third of 100.

Choose the picture that has 1 out of three boxes shaded. This would represent one third.

7 0
3 years ago
Other questions:
  • A line passes through the points (-1,-4) and (-2,0). What is the equation of this line?
    9·1 answer
  • Question 4 Unsaved The area of Canada is approximately 1 x 107 square miles. The area of Italy is approximately 3 x 105 square m
    10·2 answers
  • What is the range of the function f(x) = 12 - 3x for the domain {-4,-2, 0, 2, 4}?
    5·1 answer
  • The average time taken for your Internet service provider to remotely resolve a trouble ticket has a Normal distribution, with a
    10·1 answer
  • Solve 4k + 4 &gt; k + 16.
    7·2 answers
  • SUPER EASY WILL GIVE BRAINLEIST IF DONE BEFORE 10 PM PLS HURRY. IF U HAVE TIME PLS HELP ME ON OTHER QUESTIONS THANK YOU &lt;3
    12·1 answer
  • What is 60% as a ratio out of 100
    11·1 answer
  • Miranda earns $72,000 annually. She contributes $300 a month to a savings bond. What percent of her salary does she contribute t
    10·2 answers
  • Clarise has $290 in her checking account. She writes checks for $102 and $75 and then makes a deposit of $170. Find the amount l
    11·2 answers
  • The total cost for a piece of land is 600000. If the land is 100 meter shorter and each meter costs 1000 more the total cost wou
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!