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
babunello [35]
3 years ago
7

Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)

Mathematics
2 answers:
timofeeve [1]3 years ago
6 0

First find the equation of y.

y=mx+n=\frac{\Delta y}{\Delta x}x+n

Find the slope m.

m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1.

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

9=1(-3)+n\implies n=12.

The equation of a line y is:

y=x+12.

The perpendicular line y_{\perp} is same like the normal line except its slope m becomes:

k=-\frac{1}{m}=-1.

The equation of a perpendicular bisector is thus:

y_{\perp}=-x+12.

Hope this helps.

choli [55]3 years ago
6 0

Answer:

y = \frac{1}{2} x + 3

Step-by-step explanation:

Using the given points, first find the slope:

m = (₂ - y₁) / (x₂ - x₁)

   = (5 - 9) / (-1 - (-3))

   = -4 / 2

    = -2

Find y-intercept by using anyone of the give points and slope from above:

y = mx + b

5 = -2(-1) + b

5 = 2 + b

b = 3

With the m and b, you can make equation of line:

y = mx + b

y = -2x + 3

To find the perpendicular slope, make it opposite and inverse it.

m = -2 becomes 1/2

Regular equation of line:

y = -2x + 3

Perpendicular equation of line:

y = \frac{1}{2} x + 3

You might be interested in
Solve the following rational equation plz help!!
Yuri [45]

Answer:

x = \frac{9}{4}

Step-by-step explanation:

Given

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x^2+x} ← factor denominator

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x(x+1)}

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = \frac{9}{4}

However, x ≠ - 1 for reason given above, then

solution is x = \frac{9}{4}

4 0
3 years ago
Which expression is not a polynomial
polet [3.4K]
4-x I know this because my teacher just went over this problem
6 0
3 years ago
A b c or d. use pic to solve
Neporo4naja [7]

Answer:

In Heather's solution to the problem, she wrote and solved an equation.

Her work is:

Step 1: 1.08(x +9.01 +0.98 +5.01) = 21.87

Solving like terms

1.08(x+15}=21.87

dividing both side by 1.08

we get

x+15=21.87/1.08

x+15=20.25

subtracting both side by 13.9198

x=20.25-15

x=5.25

According to correction

;

<u>Option 1st</u>

<u>yes,it is correct</u>

5 0
2 years ago
A cupcake recipe takes 3 cups of flour for every 2 dozen cupcakes. How many cups of flour does Sally need to make 96 cupcakes? U
Lilit [14]

Answer:

388

Step-by-step explanation:

96x3=

288

5 0
3 years ago
What is the GCF of 36 and 84?<br><br> 4<br><br> 6<br><br> 12<br><br> 18
Vadim26 [7]
The greatest common factor is 12 because 12 times 3 is 36 and 12 times 7 is 84.

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
Other questions:
  • If TUVW is a parallelogram what is the length of TU
    6·2 answers
  • 3. MGSE9-12.N.RN.3 Which statement is true about the value of 5(6 + √9)?
    14·1 answer
  • Multiply. <br> (-5a^2b)(4b^3)(-a^3b^2)
    11·1 answer
  • the table shows the number of lift tickets and ski rentals sold to two different groups. Is it possible to determine how much ea
    12·1 answer
  • What’s 3•5+-5•4 <br><br> And the dot is multiplication!
    15·1 answer
  • What is num 2?? I need this done by tonight!
    15·1 answer
  • 8n-(2n-3)=12 solve for n
    6·2 answers
  • A spinner is divided into 5 equal sections numbered 1 to 5. The theoretical probability of the spinner stopping on 3 is 20%. Whi
    9·1 answer
  • I need help do anyone know what 6x100
    11·2 answers
  • There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!