Given: triangle JKN J (3,1), K (5,2), N (1,5)
(all 3 need separate answers)
a) find the coordinates of the centroid.
b) find the coordinates of the orthocenter.
c) find the coordinates of the circumcenter and length of radius of circumscribed circle.

Answers

Answer 1

Answer:

Let the radius of the circumscribed circle be r.

The formula for calculating the radius r is

r

=

Δ

s

Where  

Δ

is the area of the triangle

s

is the semi-perimeter.

s

for any triangle is calculated as

s

=

a

+

b

+

c

3

Where,  

a

,

b

,

c

is the sides of the triangle

Δ

=

s

(

s

a

)

(

s

b

)

(

s

c

)

(Heron's Formula)

Plug in the values and get the answer.

Once you have the radius, you can easily find out the area of the circle.

Step-by-step explanation:


Related Questions

How many groups of are there in 30?​

Answers

Answer:

6

Step-by-step explanation:

divide or multiply by 5 to get 30

Answer:

??????????????????????

a desk costs $145. what is the total cost of 23 desks?

Answers

Answer:

145*23=3335$

by multiplying cost by sum of desk

can someone pls help i need your help

Answers

12 miles
hope this is helpful!

Answer:

12 miles

Step-by-step explanation:

You would have to divide $26.40 by $2.20 which equals 12 so she traveled 12 miles.

Write
[tex] \frac{10}{12} [/tex]
in simplest form​

Answers

[tex]\dfrac{10}{12} = \dfrac{10 \times \tfrac 12 }{12 \times \tfrac 12} =\dfrac{5}6[/tex]

Answer:

5/6

Step-by-step explanation:

10 ÷ 2/12 ÷ 2=> 5/6

Conclusion:

Therefore, the simplified form of 10/12 is 5/6.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

When Zainab started work, her original hourly wage was ‘y’ dollars. Her wage was then doubled, and then increased by $4. If Zainab now gets paid $17 an hour, what was her original hourly wage?

Answers

Answer:

$6.5 dollars

Step-by-step explanation:

We can make an equation to find out the original total.

2y+4=17

(subtract 4 from both sides)

2y=13

(divide by 2)

y=6.5

Hope this helped :D

HELP!!!!!!

Find the length of segment SV.

Answers

Answer:

how do u want the formula because there is no numbers

Sophia wants to buy a digital camera for $145.40. She has $ 37.90 and is saving $ 2.50 each week. In how many weeks will she have enough money saved to purchase the camera?

Answers

Answer:

43 weeks

Step-by-step explanation:

145.40 - 37.90 = 107.5

107.5/2.50 = 43

7x - 4 = -18?
please give an answer.

Answers

Answer:

x=-2

Step-by-step explanation:

7x - 4 = -18

+ 4. +4

7x = -14

÷7. ÷7

x=-2

Answer:

x = -2

Step-by-step explanation:

7x - 4 = -18?

7x - 4 = -18

7x = -18 + 4

7x = -14

x = -14 : 7

x = -2

-----------------

check

7 * (-2) - 4 = -18

-14 - 4 = -18

-18 = -18

the answer is good

what type of solution results in exactly one
x and one y value?

Answers

Answer:

An independent system of equations

Which inequality is true when x = 4?

Answers

Answer:

x + 5 < 3

Step-by-step explanation:

One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.

Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-

Answers

Answer:

154.5

Step-by-step explanation:

just inputed the equation in desmos.

Answer: 154.5

Step-by-step explanation:

4.2*103=432.6

2.7*103=278.1

432.6-278.1=154.5

Given that 372 × 68 = 25296 find the value of 3720 x 68

Answers

Answer:

252960

Step-by-step explanation:

3720 x 68 = 252960

hope it's helpful

[tex]3720 \times 68 = 372 \times 10 \times 68 = 372 \times 68 \times 10 = 25296 \times 10 = 252960[/tex]

the reataurant started the week with blank quarts the of olive oil

Answers

Answer:

where is the question like background info

Step-by-step explanation:

Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.

Answers

y=5x-2



Slope intercept form is y=mx+b

all you have to do is substitute your given
m is your slope (5)
b is your y intercept (-2)

Determine algebraically if the function is even, odd or neither:f(x)=5x2+2x+1

Answers

This function is neither even nor odd.

We have

f(x) = 5x² + 2x + 1

f(-x) = 5 (-x)² + 2 (-x) + 1 = 5x² - 2x + 1

- f(x) = -5x² - 2x - 1

but neither f(-x) = f(x) nor f(-x) = -f(x).

if a line has slope -2/3 and passes through point (-3,7) what is the y intercept

Answers

Answer:  The y-intercept is 5.

Step-by-step explanation:

We can write what we know in the form of a slope intercept equation,

y=mx + b,

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope:

y = -(2/3)x + b

We need a value of b that forces the line through the point (-3,7).  Enter the point and solve for b:

y = -(2/3)x + b

7 = -(2/3)*(-3) + b  for  (-3,7)

7 = 2 + b

b = 5

The equation becomes y = -(2/3)x + 5

The y-intercept is 5.

See attachment.

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

y = 3x

Step-by-step explanation:

When y = 12, x = 4

When y = 0, x = 0

The y intercept is zero.

The easiest point to see clearly is (4,12)

m = y / x because the y intercept is 0

m = 12/4 = 3

The equation of the line is

y  = 3x which is the last one.

At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?

Answers

Answer:

there is a 20% chance that a vase will be cracked

Step-by-step explanation:

Answer:

2/10 = 1/5 = 0.2 = 20%

Step-by-step explanation:

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

x = -8, x = 7. It can also be put into coordinate form based off what the website is looking for.

But solutions to a quadratic equation is essentially where the line crosses the 'x' line.

which ratio is equivalent to 4:10? Choose ALL the equivalent ratios from i-ready

Answers

Answer:

2:5 is the simplified form.

Step-by-step explanation:

4:10 => 4/10 => 2/5=> 2:5

Conclusion:

Therefore, the simplified form of 4:10 is 2:5.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

2:5 and 12:30

I hope this helps!

From: Aug1e

The value of y varies directly with the value of x. When y= 24, x = 4.
-
What is the value of x when y = 48?
O 6
0 8
O 28
0 288

Answers

Answer:

8

Step-by-step explanation:

whatever was done to y needs to be done to  x.

in this case (y) was 2x so you need to 2x (x) making 4 into 8

What is the slope of the line

Answers

The slope of the line is 2

The formula for finding slope using two coordinate pairs is y-y
——-
x-x
In this case, the y values are 10 and 2, and the x values are 6 and 2. If we plug these into our formula the equation is 10-2
———
6-2
10-2 is 8 and 6-2 is 4. So 8 divided by 4 would equal 2

finding the distance along a diagonal with the distance formula requires you evaluate a square root. true or false ?

Answers

Answer:

true

Step-by-step explanation:

Pythagoras is simply c² = a² + b².

so, it does not matter which side of the triangle we need, we will always have to solve a square root for the final result.

Find all rational polynomials p(x) = x3 + ax2 + bx + c such that a, b, c are
roots of the equation p(x)=0

Answers

Answer:

p(x) = x³ +0x² +0x +0p(x) = x³ +x² -x -1p(x) = x³ -x² -2x

Step-by-step explanation:

If the roots of p(x) are a, b, c, then it factors as ...

  p(x) = (x -a)(x -b)(x -c)

and the expanded form is ...

  p(x) = x^3 -(a+b+c)x^2 +(ac +b(a+c))x -abc

The requirement that the coefficients match the roots means we have three equations in three unknowns:

  a = -(a+b+c)

  b = ac +b(a+c)

  c = -abc

The attachment shows the solutions to these equations. The solutions are found by making the substitutions ...

b = xc = ya = -(x+y)/2

This leaves us with two equations in two unknowns that can be graphed on a Cartesian plane. The graph of the second equation is a circle:

  x(1 -a -y) -ay = 0   ⇒   (x +1)^2 +y^2 = 1

The graph of the first equation is the union of the line y=0 and two hyperbolas. The points of intersection between this graph and the circle are ...

  (x, y) = (-2, 0), (-1, -1), (0, 0)   ⇒   (a, b, c) = (1, -2, 0), (1, -1, -1), (0, 0, 0)

The three polynomials that correspond to these values are shown above and in the attachment.

_____

Additional comment

There is an irrational fourth solution to the requirement that the roots match the coefficients.

Someone pls help me with these 4 questions pls asap for BRAINLIEST and 100 points

Answers

Answer:

5. (-1,-1)

6. (6,-9)

8. (1,2)

9. (-1,0)

Step-by-step explanation:

5. first you add -6 and 6 to cancel out the x and solve for y..once you have your y plug it back into the equation to find x

6. your going to subtract 7 and 8, and then 2 and 2 (this will cancel your ys). solve for x and then plug back in to solve for y.

7. plug -3x+5 into the second equation to find x then plug your x into the first equation to find y

8. same as above but with x then find y

−8x−10=4x+14 what’s x

Answers

Answer:

x=-2

Step-by-step explanation:

−8x−10=4x+14

-8x-4x=14+10

-12x=24

[tex]\frac{-12x}{-12} = \frac{24}{-12}[/tex]

x = -2

What is the x-coordinate of the solution to the system of equations?
3x + 5y = 10
1x + 5y = 2

Answers

Answer:

x = 4

Step-by-step explanation:

Use elimination method.

-----------------

3x + 5y = 10

-(1x + 5y) = -1(2)

-1x -5y = -2

------Simiplify------

2x = 8

x = 4

if you add two obtuse angles do they sometimes make supplamentary angles?

Answers

Answer:

No, they can NEVER make supplementary angles.

Step-by-step explanation:

Two angles are supplementary when they add to 180 degrees. Since two obtuse angles have their angles greater than 90 degrees, they can never be supplementary. Let's take the angles as 91 degrees (the lowest whole obtuse measure). 91 + 91 = 182, which is more than 180.

Therefore, the answer is no.

Answer:

Adding two obtuse angles can never make supplementary angles.

Step-by-step explanation:

An obtuse angle has a measure of greater than 90°, and less than 180°.  

Supplementary angles are two angles whose sum add up to 180°.

We must determine whether adding two obtuse angles can make them supplementary angles through the following example.

Example:

Suppose that we have two obtuse angles:

m ∠ 1 = 90.1°

m∠ 2 = 90.1°

Let us add these two obtuse angles together to determine whether their sum is at most 180°.

m ∠ 1 + m ∠ 2 = ?

90.1° + 90.1° = 180.2°

Since their sum is greater than 180°, then it means that they are not supplements.

Conclusion:

Adding two obtuse angles will have a sum of greater than 180°, thus making them invalid as supplementary angles.

Parallel, perpendicular, or neither
1. Y=x+6 and x- y=2
2. X-2y=8 and y=-2x+1

Answers

Answer:

1. parallel

2. perpendicular

Step-by-step explanation:

tickets at a particular movie theater have different rates for adults and children. On tuesday the theater sold 8 adult tickets and 9 tickets for 174. the next day the theater sold 5 adult tickets and 7 children tickets for 117. What is the price for the adult ticket and the price for the child ticket

Answers

Answer:

Adult = $15 pp

Child =  46 pp

Step-by-step explanation:

  Let A and C be the price of Adult and Child's tickets, respectively.

 We can set up equations for each of the two days, Tuesday and Wednesday.  Each equation adds the totals paid for the two ticket levels and set it equal to the total income for that day:

Tues:  8A+9C=174

Wed:   5A+7C=117

We have two equations and two unknowns.  Let's manipulate one of the equations in a way that allows us to eliminate one of the two variables, A or C.  [One can also solve either equation to isolate one of the variables, and then use that in the second equation.]

I chose to multiply the first by 5 and the second by -8, in order to make the coefficients for A the same value in both equations, but opposite in sign:

Tues:   40A+45C   =  870   [Multiply by 5]

Wed:  -40A -56C = -936     [Multiply by -8]

                      -11C = -66      [Add the two equations]

C = 6                                    [Ta Da.  Now use this price for a child's ticket in either of the original equations to find the cost of an adult ticket.]

8A+9C=174

8A+9*(6)=174

8A+54=174

8A   = 120

A  =  15

====

Use these two prices in the original equations to see if they indeed add up to the correct totals for each day.

                                                       Total Sales

Price     Tues     Wed          Tues  Wed    

A   15           8          5              120    75

C    6           9            7               54    42

               174        117              174   117 [The prices are correct]

Adult is $15 and child is $6

Other Questions
Can a teacher threaten a student to slap in India? the oceans lower atmosphere and contitents are the part of In which situation democracy handles social diversities?What are relations between them? Solve the system of equations.\begin{aligned} & -4x+3y = -2 \\\\ & y=x-1 \end{aligned} 4x+3y=2y=x1 Find cos 2; the angle is in the fourth quadrant, and sin = -0.45. Which double-angle identity should you use?cos2 = 1 2sin^2sin()cos() - cos()sin()sin()cos()2sin()cos() plsss help giving brainliest find 3 arithmetic means between -4 and 16 Round 67 to the nearest hundred. Enter your answer in the box below. Could somebody please explain this to me? What is June beginning to realize about the poor in the book legend? How does this make her feel? What is the difference between permanent gases and variable gases in the atmosphere? Which is a TRUE statement about how profit can be an incentive for entrepreneurs?AProfit outweighs the risks of opening a business.BProfit can increase competition in a market economy.Profit encourages shareholders to open their own businesses.DProfit makes the gap between the rich and poor more noticeable. The lawn is a circle with radius 3m.Work out the area of the lawn. Find the units digit of the following within the indicated number base: $(14_8)^2$(I will say brainliest whoever gets correct first.) How does the Preamble section of the Declaration of Independence conclude?with a bold claim and a statement of what will come nextwith a complicated, logical argumentwith an appeal to the readers' pietywith a summary of all earlier points Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green? This image shows the manyarteries and veins making upthe circulatory system. Whichof these delivers OXYGEN-POOR blood from the bodyback to the heart?A. arteriesB. veinsC. neither of these How does the author describe Matt?A.as a shy, thoughtful artistB. as an arrogant, pushy friendC. as an outgoing, friendly personD. as a selfish-but-brilliant genius Parallelogram TUVW is graphed on a coordinate plane with vertices at T (3, 4), V (-10,-2), V(-6,5),andW (7,11). Parallelogram TUVW Is dilated by a scale factor p with the origin as the center of dilation tocreate parallelogram T'U'V'W'. Which ordered pair represents the coordinates of the dilated vertex V'?G (-6 + P, 5+ p)(-6p, Sp) The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width