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

Help! Help! HELP!!
Find the value for x

Answers

Answer:

21

Step-by-step explanation:

5(21)-12=93

3(21)+30=93

What is -2×-4 in mathematics

Answers

Answer:

8

Step-by-step explanation:

negative times a negative equals a positive

Mathew grew a sunflower that was 1 7/8 meters tall. She cut 3/4meters off the height. How much of the steam is left?

Answers

First find a common denominator so how can you change 4 and 8 to be the same, multiply 4 by 2 and what you do to the bottom you have to do to the top. You should get 6/8. So, usually you would change the mixed number to an improper fraction but for this problem you don’t need to. Now you would subtract 1 7/8 -6/8 and that would be 1 1/8. Sometimes you need to simply you final answer but right now it’s already at the lowest it can go. Answer : 1 1/8 Hope this helped :)

PLZ HELP! 50 PTS PER PERSON
11 less than 3 times a number is the same as 75 less than the product of -1 and the number.

Answers

Answer:

No solution

Step-by-step explanation:

Create an equation with the values given. Solve like an algebraic question.

11 > 3*x = 75> -1*x

3*x and -1*x should lead to a value greater than 11.

Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.

No solution.

Can i get some help :

Answers

dang this looks so confuseing

What is the slope and and y-int of y≤3

Answers

Answer:

0

I hope this is the correct answer

Answer: Slope = 0, y-intercept = 3

Step-by-step explanation:

The inequality is a horizontal line, where everything below 3 is agrees with the inequality

The slope of any flat line is 0, and the y-intercept is always the constant (y=mx+b) in slope-intercept form, in this case it is 3

System practice problems

Answers

Looking at the first system of equations,

16x - 10y = 10

-8x - 6y = 6

If we multiply both sides of the second equation by 2, the coefficient of x is exactly the negative of the coefficient of x in the first equation.

-8x - 6y = 6

⇒   2 (-8x - 6y) = 2 (6)

⇒   -16x - 12y = 12

By combining this new equation with the first one, we can eliminate x and solve for y :

(16x - 10y) + (-16x - 12y) = 10 + 12

⇒   -22y = 22

⇒   y = -1

Then we just solve for x by replacing y in either equation.

16x - 10y = 10

⇒   16x - 10 (-1) = 10

⇒   16x + 10 = 10

⇒   16x = 0

⇒   x = 0

The main idea behind elimination is combining the given equations in just the right amount so that one of the variables disappears. The "right amount" involves using the LCM of the coefficients of a given variable. In this example, the x-coefficients had LCM(8, 16) = 16, so we only had to scale one of the equations (the one with -8x) to cancel all the x terms.

If we wanted to eliminate y first instead, we first note that LCM(6, 10) = 30. To get 30 as a coefficient on y, in the first equation we would have multiplied by 3:

16x - 10y = 10

⇒   3 (16x - 10y) = 3 (10)

⇒   48x - 30y = 30

And in the second equation, we would have multiplied by -5 (negative so that upon combining the equations, we end up with -30y + 30y = 0):

-8x - 6y = 6

⇒   -5 (-8x - 6y) = -5 (6)

⇒   40x + 30y = -30

Now combining the two scaled equations gives

(48x - 30y) + (40x + 30y) = 30 + (-30)

⇒   88x = 0

⇒   x = 0

We then solve for y :

16x - 10y = 10

⇒   -10y = 10

⇒   y = -1

so we end up with the same solution as before.

help ASAP please hmmmm​

Answers

Answer:

I’d go with number 2 and number 4.

The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza? Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

Box

Area of the box

Area = s^2

s = 12 inches

Area = 12^2

Area = 144

Pizza

Area = pi r^2

Area = 3.14 * 5^2

Area = 25 * 3.14

Area = 78.5

Difference = 144 - 78.5

Difference = 65.5

How many match sticks will be in the 8th picture?​

Answers

Hello again. :)

Answer: 33 match sticks

From the first picture, we are given 5 match sticks.

From the second picture, we are given 9 match sticks. The difference between the match sticks is 4.

From the third picture, we are given 13 match sticks. The difference between the match sticks is again 4.

If each image increases the number of match sticks by 4, then the fourth image must have (13 + 4) = 17 match sticks.
The fifth image must have (17 + 4) = 21 match sticks.
The sixth image must have (21 + 4) = 25 match sticks.
The seventh image must have (25 + 4) = 29 match sticks.
And the eighth image must have (29 + 4) = 33 match sticks

The lines represented by the equations y=-2x-6 and 2y+x=-16 are

Answers

Answer:

Is that the entire question? I want to help but I don't see a full question it looks like half of one

What is the domain and range of this? Is it a function yes or no?

Answers

Domain: {2,4,6} Range:{8,10,12}
Yes it is a function

You know when it’s a function when the left side (x/domain) does not repeat itself (Y/range) is allowed to repeat

(7−2)3×(24−11)? cause im in 6th grade lol

Answers

Answer:

(7−2)(3)(24−11)

=(5)(3)(24−11)

=15(24−11)

=(15)(13)

=195

Step-by-step explanation:

Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?

Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q

Answers

Answer:

Point R is at (−40, −30), a distance of 60 units from point Q

Step-by-step explanation:

Correct option is ,

Point R is at (-40, 30) , a distance of 60 units from Point Q.

hope this answer helps you dear take care!

1. When is it best to solve a system of equations using graphing?
2. When is it best to solve a system of equations using substitution?
3. When it is best to solve a system of equations using elimination? When it is

Answers

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

The length of a rectangle has a measure of x and the width of a rectangle has a measure of (x-2). Find x if the area is 35.

Answers

Answer:

length = 7

pls mark me the brainliest

Step-by-step explanation:

A = Lw

35 = x (x -2)

35 = x2 - 2x

x2 -2x -35 = 0

(x-7)(x+5) = 0  

x-7=0

x=7       (we won't use the other factor since it would give us a negative length

so length = 7

If all three angles of a triangle are congruent, what is each angle measure?

Answers

Answer:

60°

Step-by-step explanation:

180° in a triangle.

180° ÷ 3 = 60°

The measure of each of the given angles of a triangle is 60°.

What are congruent triangles?If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.

Given is that all three angles of a triangle are congruent.

Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -

∠A = ∠B = ∠C = X°

and also we can write -

X° + X° + X° = 180°

3X° = 180°

X° = 60°

Therefore, the measure of each of the given angles of a triangle is 60°.

To solve more questions on congruent triangles, visit the link below -

https://brainly.com/question/22062407

#SPJ2

Find an equivalent ratio in simplest terms:
64 : 24
Submit Answer

Answers

Answer:

64/24

32/12

16/6

8/3

8:3

Hope This Helps!!!

What is the equation of the line that passes through the point (5, 6) and has a slope
of 2

Answers

Answer:

y = 2x - 4

Step-by-step explanation:

Given:

x1 = 5

y1 = 6

slope (m) = 2

Solution:

y - y1 = m ( x - x1 )

y - 6 = 2 ( x - 5 )

y - 6 = 2x - 10

y = 2x - 10 + 6

y = 2x - 4

Simplify the expression. Write your answer as a power. 7^5•7^3/7^2

Answers

[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]

NEED HELP LIKE, NOW!! 100 POINTS!!!


You can solve any equation in the form a(x + b) = c without writing out both steps of the two-step solution process.
a. Isolate the variable x, so that it has a coefficient of 1.

b. Use your answer to solve 4(x - 7) = 20.

Answers

Answer:

ax+ab-c=0, 12

Step-by-step explanation:

If x=1, then 4(x-7)=20

4x-28=20

add 28 on both sides

48/4=x

x=12

Answer:

this is my answer

Step-by-step explanation:

4(x-7)=20. divide both sides

x-7=5 move the constant to the right

x=5+7. calculate

so the answer is x=12

I hope it helps

someone who is good a math please answer this today asap will give brainliest

The length of a rectangle is 4 more than its width. The perimeter is 40 feet.

What are the length and width of the rectangle?

Hint: The perimeter of a rectangle is given by the formula P = 2l + 2w.


The width is 8 ft and the length is 12 ft.


The width is 13 ft and the length is 7 ft.


The width is 7 ft and the length is 13 ft.


The width is 12 ft and the length is 8 ft.

Answers

Answer:

the Answer is C

Step-by-step explanation:

We are given

The perimeter is 40 feet and the length of a rectangle is 4 more than its width.

Let the length be " l " and the width be " w ".

As we know that

Rectangle is a four sided polygonal figure, i.e, a quadrilateral, in which the opposite sides are of equal length and are parallel. Also its diagonals bisects each other.

[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]

Perimeter = 2 (l + w) unitsArea = lb sq.units

According to the question

Width = w feet Length = w+4 feet

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]

[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]

Width of perimeter is = 8 feet

Substituting the value of w–

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]

[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]

Henceforth, The width is 8 ft and the length is 12 ft.

__________________________________________

Anna is working two summer jobs, making $18 per hour lifeguarding and making $11 per hour clearing tables. In a given week, she can work a maximum of 14 total hours and must earn at least $210. If Anna worked 12 hours clearing tables, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer: She would make $132 a day by cleaning tables for 12 hours and getting 11 per hour. She would have to get rid of 1 hour and 90 minutes of lifeguarding to get the same pay.

Step-by-step explanation:


Find the percent change from the first value to the second. Tell if it a decrease or
increase.
36: 63______;_______

Answers

Answer
Increase by 28


Anna and Sam each want to run for president of their school's student body council. In order
to do so, they must collect a certain number of signatures and get a nomination. So far, Anna
has 20 signatures, and Sam has 25. Anna is collecting signatures at an average rate of 6 per
day, whereas Sam is averaging 5 signatures every day. Assuming that their rate of collection
stays the same, eventually the two will have collected the same number of signatures. How
long will that take?
Time
elapsed
Write a system of equations, graph them, and type the solution.

Answers

Answer:

6x+20=5x+25

5 days

Step-by-step explanation:

Let x = the days that they have the same amount of signatures

We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.

We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.

Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.

Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures

Hope this made sense :D

Twenty is what percent of 25?

Answers

Answer:

80%

Step-by-step explanation:

20:25*100 =

(20*100):25 =

2000:25 = 80

Now we have: 20 is what percent of 25 = 80

Question: 20 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=25$.

Step 4: In the same vein, $x\%=20$.

Step 5: This gives us a pair of simple equations:

$100\%=25(1)$.

$x\%=20(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{25}{20}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{20}{25}$

$\Rightarrow x=80\%$

Therefore, $20$ is $80\%$ of $25$.

Hopes This Helps :)

PLEASE HELP!!! Can someone help me figure this out

Answers

Answer:

Step-by-step explanation:

x^2 = 5x + 24                                Transfer (subtract) 5x + 24 to the left.

x^2 - 5x - 24 = 5x-5x+24  -24

x^2 - 5x - 24 = 0                            This does factor. -8 and 3  are your factors.

(x - 8)*(x + 3) = 0

So if x - 8 = 0

then x - 8 + 8 = 0 + 8

x = 8

If x + 3 = 0

then x = - 3

Are these both correct?

x^2 = 5x + 24

x = 8

8^2 = 5*8 + 24

64 = 40 + 24

64 = 64

and x - 8 is a factor

x^2 = 5x + 24

x = - 3

(-3)^2 = 5 * -3 + 24

9 = -15 + 24

9 = 9

And x + 3 is a correct factor

I need help with the answer to this question.

9 - 3 divided by 1/3 + 1 = ?

Will give the ranking thing to best explanation.
(sry I don’t know the name of what the ranking is called)

Answers

19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

Mir. White has a beach lot that is 60 feet wide.
What is the width of his lot in yards?

Answers

Answer:

20 Yards

Step-by-step explanation:

3 feet = 1 yard

60 / 3 = x yards

20 yards

The following graph shows a proportional relationship.
What is the constant of proportionality between yyy and xxx in the graph?

Answers

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0.  Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

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