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
Harman [31]
3 years ago
12

Determine an equation for the right bisector of the line segment with endpoints J(-5,3) and K(3,-2)

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer:

y=1.6x+2.1

Step-by-step explanation:

we know that

The right bisector of the line segment JK is a perpendicular line to the segment JK that pass through the midpoint of segment JK

step 1

Find the midpoint JK

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

we have

J(-5,3),K(3,-2)

substitute the values

M(\frac{-5+3}{2},\frac{3-2}{2})

M(\frac{-2}{2},\frac{1}{2})

M(-1,\frac{1}{2})

step 2

Find the slope JK

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

J(-5,3),K(3,-2)

substitute

m=\frac{-2-3}{3+5}

m=\frac{-5}{8}

m=-\frac{5}{8}

step 3

Find the slope of the line perpendicular to the segment JK

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

m_1*m_2=-1

we have

m_1=-\frac{5}{8}  ----> slope of segment JK

Find m_2

substitute

(-\frac{5}{8})*m_2=-1

m_2=\frac{8}{5}

step 4

Find the equation for the right bisector of the line segment JK

The equation in point slope form is equal to

y-y1=m(x-x1)

we have

m=\frac{8}{5}

point\ M(-1,\frac{1}{2})

substitute

y-\frac{1}{2}=\frac{8}{5}(x+1)

Convert to slope intercept form

isolate the variable y

y-\frac{1}{2}=\frac{8}{5}x+\frac{8}{5}

y=\frac{8}{5}x+\frac{8}{5}+\frac{1}{2}

y=\frac{8}{5}x+\frac{21}{10}

y=1.6x+2.1

You might be interested in
You just obtained a credit card. You immediately purchase a stereo system for $200. your credit limit is $1000. Let's assume tha
deff fn [24]

Answer:

i think the answer is:

<u> B. 0.0142</u>

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Could I solve this inequality by completing the square? How would I do so?
sammy [17]

Answer:

\large\boxed{x>-2+\sqrt{14}\ \vee\ x

Step-by-step explanation:

x^2+4x>10\\\\x^2+2(x)(2)>10\qquad\text{add}\ 2^2=4\ \text{to both sides}\\\\x^2+2(x)(2)+2^2>10+4\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2>14\Rightarrow x+2>\sqrt{14}\ \vee\ x+2-2+\sqrt{14}\ \vee\ x

8 0
3 years ago
I will give you brainlist if you answer this question in 5 mintues
algol [13]
(2,3)??? Maybe? I really don’t know
4 0
2 years ago
Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following
monitta

Answer:

370.85

Step-by-step explanation:

20.50×10. +165.85=

4 0
3 years ago
Read 2 more answers
Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 ​ )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by,
Angelina_Jolie [31]

Answer:

p = 1

Step-by-step explanation:

4 - 5(p + 3/5) = -4

Find P

4 - 5(p + 3/5) = -4

4 - 5p -15/5 = -4

4 - 5p - 3 = -4

-5p + 1 = -4

-5p = -4 - 1

-5p = -5

p = -5/-5

p = 1

Check:

4 - 5(p + 3/5) = -4

4 - 5(1 + 3/5) = -4

4 - 5 - 15/5 = -4

4 - 5 - 3 = -4

4 - 8 = -4

-4 = -4

8 0
3 years ago
Read 2 more answers
Other questions:
  • A -(65,-35)
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=x%20%2B%205%20%3D%20%20-%205x%20%2B%205" id="TexFormula1" title="x + 5 = - 5x + 5" alt="x + 5
    11·1 answer
  • Need help solving this
    9·1 answer
  • Evaluate the expression when x = 3 and y = 5 2xy
    9·1 answer
  • A new hockey stick costs $57,00 at the sporting goods store. If there is a 6%
    14·1 answer
  • PLEASE HELP A boat travels downstream 10 miles and returns to the starting point in 2
    9·1 answer
  • Moe swam 2/3 of a mile in 12 minutes. If he swims at the same constant
    11·2 answers
  • The function f(x) = 9x +5 is one-to-one.<br> Find an equation for f-'(x), the inverse function.
    5·1 answer
  • Which statement is true?
    7·2 answers
  • If x=2 and y=5, evaluate the following expression: 2(x+y)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!