MATHEMATICS HIGH SCHOOL

Determine the point of intersection of right bisectors in a triangle ∆ with vertices A (-3, 5), B (1, 1) and (−7, −3). Find the distance from the point of intersection to each vertex of the triangle.

Answers

Answer 1
Answer:

Answer:

Point of intersection (-11/3 , 1/3)

All distances from the vertices are (10√(2) )/(3)

Step-by-step explanation:

The vertices of the triangle is A(-3,5) , B (1,1) and C (-7,-3)

We need to find the perpendicular bisector of the triangle first

let's take one side connecting A and B

mid point of A and B = (-1,3)

Slope of the line joining A and B = -1

slope of perpendicular to line joining A and B = 1

equation of line passing through (-1,3) with slope 1

y - 3 = 1(x-(-1))

y -3 = x+1

x-y = -4 ............(1)

similarly

mid point joining B and C = (-3,-1)

slope perpendicular to line joining B and C  =  -2

Equation of perpendicular bisector of line joining B and C =

y +1 = -2(x +3 )

y+1 = -2x -6

2x+y = -7 ..........(2)

On solving 1 and 2

x= -11/3 , y= 1/3

Distances

From A = (10√(2) )/(3)

From B = (10√(2) )/(3)

From C = (10√(2) )/(3)

Related Questions

How do I solve this problem? 6m+3(2m+5)+7
Which value is the best estimate of 26% of 259? 50 52 65 88
Please help find the value of sine.
What is the median for the set of data? 6,7,10,12,12,13
Please answer...Easy math

Calculate the number of eggs in 3.25 dozen. Report your answer using the appropriate number of significant figures.

Answers

The number of eggs in 3.25 dozen will be 39.

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that there are 3.25 dozens of eggs. The number of the eggs will be calculated as below:-

There are 12 numbers in a dozen. To calculate the number of eggs multiply the numbers 3.25 and 12.

Number of eggs = 3.25 x 12

Number of eggs = 39

Therefore, the number of eggs in 3.25 dozen will be 39.

To know more about multiplication follow

brainly.com/question/10873737

#SPJ2

Hi,

One dozen of eggs = 12 eggs.

3.25\cdot 12 =(3+0.25)\cdot 12=3\cdot 12 +0.25\cdot12=36+\frac{12}4=36+3=39\;eggs.

Green eyes.

Work out (25/9) to the power of -3/2

Answers

To work out (25/9) to the power of -3/2, we can use the property of exponentiation. The negative exponent signifies taking the reciprocal of the base raised to the positive exponent. Additionally, the fractional exponent indicates taking the square root of the base raised to the numerator and then taking the reciprocal of the result raised to the denominator. Let's calculate it step by step.

A baseball player had 4 hits in 8 games. At this rafe, how many hits will the baseball player have in the next 28 games?

Answers

Answer: About 14 hits

On Saturday, 200 people visited a farmer’s market. Of those who visited, 40% were children. How many children visited the farmer’s market on Saturday?

Answers

200 * 0.40 = 80
80 children

Answer:

80 children

Step-by-step explanation:

(200 * 40) /100 = 80

What is 1.5 million written in standard form

Answers

1.5 million in standard form is 1,500,000 

The sum of two numbers is 30 & their difference is 12.

Answers

x+y=30
x-y=12
add them together

x+y=30
x-y=12+
2x+0y=42

2x=42
divide 2
x=21

subsitute
x+y=30
21+y=30
subtrat 21
y=9


number sare 21 and 9
The answer is 21 and 9. You can use guess and check to solve this. If you add 21 and 9, the sum is 30, and if you subtract 9 from 21, the difference is 12. 
Other Questions
A= 1/2 bh solve for b
Every 4 seconds, a ski lift chair rises 14 feet. Describe the relationship between the height of the chair and the time.
Please help! I will thank and rate the best answer. Ten points! I am stuck on this question:-2 2/3 x 6/7
Write the improper fraction 33/10 as a mixed number