The vertices of △JKL are J(−3, 4), K(3, 0), and L(−5, −4). The equation of the median to J is y=0. What are the coordinates of the centroid of △JKL?

Answers

Answer 1

Answer:j

Step-by-step explanation:

Answer 2

The coordinates of the centroid of △JKL are (-5/3 , 0)

What is centroid of a triangle and its coordinates?

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

If the triangle has its vertices as  [tex](x_1, y_1), (x_2, y_2) , \: (x_3, y_3)[/tex], then the coordinates of the centroid of that triangle is given by:

[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)[/tex]

The vertices of ΔJKL lies in first quadrant because the coordinated of the vertices are positive which means the vertices are in the form of (x,y).

If the ΔJKL reflects along the x-axis then the vertices are in the form of (x,-y). Now the  ΔJKL reflects along the y-axis then the vertices are in the form of (-x,-y).

The given coordinates of the the vertices after transformation is J(−3, 4), K(3, 0), and L(−5, −4).

The equation of the median to J is y=0.

(-3 + 3 - 5 / 3 , 4 + 0 - 4/ 3) = (-5/3 , 0)

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Related Questions

One year ago Claire was 4 feet 6 inches tall. Now Claire is 4 feet 10 inches tall. By what percentage did Claire's height increase?

Answers

Answer:

7.4 percent

Step-by-step explanation:

Convert both measurements to inches.

4 feet 6 inches = 54 inches

4 feet 10 inches = 58 inches

Formula for Percent of Increase:

%

o

f

I

n

c

r

e

a

s

e

=

Difference

Original

100

58 - 54

54

100

4

54

100

7.407407

...

%

or about

7.4

%

Can anyone help me with this math question

Answers

Answer:

89 seats are not being used

Step-by-step explanation:

You subtract the seats being used by teachers

342 - 75 =267

Change 2/3 into a percentage = 66.6%

Find 66.6% of 267= 177.8 (I rounded up to 178)

Then subtract 177.8/178 from 267 to find the amount of seats not being used.

The amount of seats not being used would come down to 89 seats.

I hope this helps!

-k/3 = 9
answer = ??

Answers

Answer:

-k=9×3

-k=27

God luck friend

Which expressions are equivalent to 2x + 5x − 9x?
A. 7x + 9x and 16x
B. 7x − 9x and 2x
C. 7x − 9x and −2x
D. 2x + 4x and 6x

Answers

Answer:

C. 7x-9x and -2x

Step-by-step explanation:

Combine like terms and simplify

2x+5x-9x

7x-9x

-2x

PLS HELP DUE IN 5 MINS
Write an equation in slope intercept form for the line that passes through (-2,3) and is parallel to the graph of y=-3/4x+4

Answers

Answer:

When the equation parallel the graph then the measure of the equation is - 3/4

Then the equation is y=-3/4x+c

By using the point(-2,3)

[tex] y = \frac{ - 3}{4} x + c \\ 3 = \frac{ - 3}{4} \times - 2 + c \\ 12 = 6 + 4c \\ 4c = 6 \\ c = \frac{3}{2} [/tex]

Then the equation is

[tex]y = \frac{ - 3}{4} x + \frac{3}{2} [/tex]

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

PLEASE ANSWER
Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?
7 hours and 35 minutes
5 hours and 35 minutes
6 hours and 25 minutes
6 hours and 55 minutes

Answers

Answer:

6 hours and 25 minutes

Step-by-step explanation:

10:15 to 4:40 = 6 hours and 25 minutes

A rectangular prism has a width of x cm. Its length is 3 cm more than its width, and its height is 4 cm more than its length. Write an algebraic expression, in simplified form, for the volume of the prism.

Answers

Answer:

Step-by-step explanation:

Width: x

Length: x + 3

Height: x + 3 + 4 = x + 7

Volume of prism = area of cross section x length

Area of cross section = width x height = x ( x + 7 ) = x² + 7x

Volume = (x + 4) x (x² + 7x)

= x³ + 7x² + 4x² + 28x

= x³ + 11x² + 28x

The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].

What is volume?

Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.

How to calculate volume?

We know that volume of rectangular prism is L*B*H.

We have been given that width is x cm.

According to question length will be x+3,

Height will be x+3+4

=x+7

Volume will be =x(x+3)(x+7)

Multiply the expressions,

=x([tex]x^{2}[/tex]+3x+7x+21)

=x([tex]x^{2}[/tex]+10x+21)

=[tex]x^{3} +10x^{2} +21x[/tex]

Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].

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Solve for X. Round to the nearest tenth.
29
18

Answers

Answer:

x = 30.5

Step-by-step explanation:

cos(18º) = 29/x

Multiply both sides by x and divide both sides by cos(18º) to get

x = 29/cos(18º)

x = 30.5  

£250 in the ratio 3 : 5​

Answers

Answer:

Let 3x and 2x are divided into 250.

Step-by-step explanation:

3x + 2x = 250

⇒ 5x = 250

⇒ x =  = 50

∴ 3x = 3 × 50 = 150 and

2x = 2 × 50 = 100

Thus, the required numbers are 150 and 100.

There is a line that includes that point (-6,3)and has a slope of 1/10 . What is its equation in point-slope form?

Answers

Answer:

y = 1/10 x + 18/5

Step-by-step explanation:

The general form of the equation of a line is given as

y = mx + c where m is the slope and c is the intercept

For a line with given points (x1, y1), the equation is given as

y-y1 = m(x-x1)

Hence if there is a line that includes that point (-6,3) and has a slope of 1/10 then the line

y - 3 = 1/10(x --6)

multiply both sides by 10

10y - 30 = x + 6

Rearrange

10y = x + 6 + 30

10y = x + 36

y = 1/10 x + 36/10

y = 1/10 x + 18/5

PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

⅔n - 5 = ⅓n + 7

⅓n = 12

n = 36

HELP Describe the graph for the solution for the following inequality

Answers

Answer:

Closed circle going right

Step-by-step explanation:

Item 2
What is the volume of this rectangular prism?


26 cubic feet


35 cubic feet


50 cubic feet


105 cubic feet

rectangular prism that is 7 feet by 3 feet by 5 feet

Answers

is the answer not 105 cubic feet


What is the volume of the cone in the diagram

Answers

It would be 28 Correct me if wrong

simplify √7/18 please help

√14/7

√14/6

√6/14

Answers

Answer:

14/6

Step-by-step explanation:

2(x + 10) = 26
Solve for x

Answers

Answer:

3

Step-by-step explanation:

Kaylee and her friends are going into a bakery. How much would it cost to buy 1 donut and 5 cookies if each donut costs $2.00 and each cookie costs $1.25? How much would it cost to buy 11 donuts and 55 cookies if each donut cost \$d$d and each cookie cost \$c?$c?

I need the work as well

Answers

Answer:

$90.75

Step-by-step explanation:

$2 (for each donut) x 11 (the number of donuts they want

=22

Then

$1.25(for each cookie) x 55 (the number of cookie they want)

=$68.75 +$22

=90.75

PLLZZZZZZZ HEEEEEELPPP

Answers

Answer:

it is the 4th button choose that one the side v pointing to the right

Step-by-step explanation:

Between which two consecutive whole numbers does √14 fall on the number line? Pls awnser

Answers

Answer:

3 and 4

Step-by-step explanation:

What is the coefficient of y in the expression 4x + y + 8 A(1) B(0) C(2) D(3)

Answers

Step-by-step explanation:

the the coefficient of y in the above expression is A(1)

The expression of the y in the coefficient is A(1)

help please!! graphs and functions

Answers

I thjnk is the last one
The answer is C. g(x)

slope is 1/2 and a point is (4, -5) solve for b
Y=mx+b

Answers

Answer:

y=1/2x-7

Step-by-step explanation:

Answer:

-5=1/2(4)+b

-5=2+b

-7=b

Hope this helped!

There are 4 empty brown bags on the table with four extra pieces
of candy sitting outside the box. How many pieces of candy will
be allocated to each bag if there was a total of 36 pieces of candy?

Answers

Answer:

it would be 9

Step-by-step explanation:

Help pppppppppppppppPPPPPPPP

Answers

Answer:

39

Step-by-step explanation:

if you square 15 and 36 you get

225+1296=1521

1521 square rooted is 39

Answer:

39

Step-by-step explanation:

15² +36² =1521

√1521 = 39

please help me with this math problem!!!!!​

Answers

Answer:

Step-by-step explanation:

[tex]\cos ~A=0.5=cos~60 \\A=60^\circ\\B=180-A=180-60=120\\\angle~B=120^\circ[/tex]

Ely was asked to draw a line of best fit threw the given scatterplot. He put a point at (0, 0) and (7, 7) and drew a line through them and said it was the line of best fit for the data. Part A: Explain why Ely's line is NOT the best fit. Part B: What would be a better line of best fit for the scatter plot? Part C: How does the actual line of best fit compare with Ely's line?

Answers

Answer:

still need help ?

Step-by-step explanation:

What is the solution set for x > -1

Answers

Answer:

Whole number set

Step-by-step explanation:

x > -1 means grater than (-1)

x = {0 ,1,2,3 ......}

Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.

Answers

Answer:

2x² + 4x + 1

Step-by-step explanation:

Given the question :

4x^3+18x^2+22x+5 divided by 2x+ 5

Dividend = 4x^3+18x^2+22x+5

Divisor = 2x + 5

In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture

what's a real world scenario that would use sine to solve?

Answers

Answer:

Radio waves, tides, musical tones, electrical currents

Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.

Help pls!

What is the quotient 3/4 and 5/6

3/4
9/10
1 1/9
4 1/2

Answers

Answer:

9/10

Step-by-step explanation:

To divide by 5/6, invert 5/6, obtaining 6/5, and then multiply:

 3         6

------ *  ----- = 18/20 = 9/10 (same as the 2nd possible answer)

  4        5

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