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
kvv77 [185]
2 years ago
10

How do you find the equation of a perpendicular bisect or of a line segment?

Mathematics
1 answer:
sergiy2304 [10]2 years ago
8 0
You can take apart the word ‘perpendicular bisector’:

Perpendicular means at a right angle to the line.

So you would find the gradient of your line segment, assuming you were given two points along the line. Then find the negative reciprocal of this gradient to get your new gradient.

Bisector means cut in half.

So you find the midpoint of your line segment.

Now, substitute the midpoint coordinate and your new gradient into the equation of a straight line.

Hope this helps :D
You might be interested in
Help me with these 3 and explain too thank you :))
xz_007 [3.2K]

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

5 0
3 years ago
What is the measure of ABD
Paladinen [302]

Answer:

Where is the question?

Step-by-step explanation:

7 0
2 years ago
A cafe sells cups of coffee and tea. There were 6 times as many cups of coffee sold as cups of tea within an hour, for a total o
Maurinko [17]
9 cups of tea were sold.

For each 6 cups of coffee, 1 cup of tea was sold. So 54/6 = 9.
4 0
3 years ago
Helppppppppp plssssssssss
Tresset [83]

A. Is the answer of this question

4 0
2 years ago
Please help on the area for 7 8 9 please all i need help is
weeeeeb [17]

The area of the equilateral, isosceles and right angled triangle are 12.6mm², 9.61in² and 16.81yds² respectively.

<h3>What is the area of the equilateral, isosceles and right angle triangle?</h3>

Note that:

The area of an Equilateral triangle is expressed as A = ((√3)/4)a²

Where a is the dimension of the side.

The area of an Isosceles triangle is expressed as A = (ah)/2

Where a is the dimension of the base and h is the height.

The area of a Right angled triangle is expressed as A = (ab)/2

Where a and b is the dimension of the two sides other than the hypotenuse.

For the Equilateral triangle.

Given that;

  • a = 5.4mm
  • Area A = ?

A = ((√3)/4)(5.4mm)²

A = ((√3)/4)( 29.16mm² )

A = 12.6mm²

Area of the Equilateral triangle is 12.6mm²

For the Isosceles triangle.

Given that;

  • Base a = 3.4in
  • Slant height b = 5.9in
  • height h = ?
  • Area A = ?

The height h is the imaginary line drawn upward from the center of a.

First, we calculate the height using Pythagorean theorem

x² = y² + z²

Where x = b = 5.9in, y = a/2 = 3.4in/2 = 1.7in, and z = h

(5.9in)² = (1.7in)² + h²

34.81in² = 2.89in² + h²

h² = 34.81in² - 2.89in²

h² = 31.92in²

h = √31.92in²

h = 5.65in

Now, the area will be;

A = (ah)/2

A = (3.4in × 5.65in )/2

A = 19.21in²/2

A = 9.61in²

Area of the Isosceles triangle is 9.61in².

For the Right angled triangle

Given that;

  • a = 8.2yds
  • b = 4.1yds
  • c = 9.17yds
  • Area A = ?

A = (ab)/2

A = ( 8.2yds × 4.1yds)/2

A = ( 33.62yds²)/2

A = 16.81yds²

Area of the Right angled triangle is 16.81yds²

Therefore, the area of the equilateral, isosceles and right angled triangle are 12.6mm², 9.61in² and 16.81yds² respectively.

Learn more about Pythagorean theorem here: brainly.com/question/343682

#SPJ1

6 0
2 years ago
Other questions:
  • The difference between the squares of two consecutive numbers is 23. what are the two numbers?
    13·1 answer
  • Suppose that XNY are in rational numbers such that x&gt;y. Which of the following inequalities must be true
    8·1 answer
  • What is name of the quadrant in which the point (-4,-3) could be found on the coordination plant
    5·1 answer
  • PLEASE HELP ME 30POINTS +BRAINLY
    5·1 answer
  • If x represents the amount Rita earns each week, which expression represents the amount she earns in a year? x + 52 52 – x Start
    9·1 answer
  • The school talent she is 90 minutes long. The average rate of the show is about 10 acts every 30 minutes. At this rate, how many
    12·1 answer
  • What does 1/4+1/3 equal
    6·1 answer
  • What is the correct answer?
    13·1 answer
  • Question 8 of 10
    6·1 answer
  • The computer club spent $2,565 on mouse pads. The me never plan to sell the nous pads during the book fair. If they charge $9.50
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!