Lanna plotted 3 vertacies of a square on a coordinate plane witch are the coordinates of the missing vertext of lanas square

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the coordinates of the three vertices.

I will answer your question using the following illustration.

Assume that the square is ABCD are the given coordinates are:

[tex]A = (3,1)[/tex]

[tex]B = (-1,5)[/tex]

[tex]C = (-5,1)[/tex]

Required

Find D

Let the coordinates of D be:

[tex]D = (x,y)[/tex]

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

Calculate the slope of each side.

AB, BC, CD and DA using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

AB:

[tex]A = (3,1)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]B = (-1,5)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_1 = \frac{5 - 1}{-1 - 3} = \frac{4}{-4} = -1[/tex]

BC:

[tex]B = (-1,5)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]C = (-5,1)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_2 = \frac{1-5}{-5--1} = \frac{-4}{-4} = 1[/tex]

CD:

[tex]C = (-5,1)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]D = (x,y)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_3 = \frac{y - 1}{x --5} = \frac{y-1}{x+5}[/tex]

DA

[tex]D = (x,y)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]A = (3,1)[/tex] -- [tex](x_2,y_2)[/tex]

[tex]m_4 = \frac{1-y}{3-x}[/tex]

AB and CD are parallel sides. So, they have the same slope

i.e.

[tex]m_1 = m_3[/tex]

[tex]\frac{y-1}{x+5} = -1[/tex]

Solve:

[tex]y-1 =-x-5[/tex]

Make y the subject

[tex]y =-x-5+1[/tex]

[tex]y =-x-4[/tex] ---- (1)

BC and DA are parallel sides. So, they have the same slope

i.e.

[tex]m_2 = m_4[/tex]

[tex]1 = \frac{1-y}{3-x}[/tex]

Solve:

[tex]1-y =3-x[/tex]

Make y the subject

[tex]y =1-3+x[/tex]

[tex]y =x-2[/tex] ---- (2)

So, we have:

[tex]y =-x-4[/tex] and [tex]y =x-2[/tex]

Equate both:

[tex]y=y[/tex]

[tex]-x-4=x-2[/tex]

Collect like terms

[tex]-x-x=4-2[/tex]

[tex]-2x=2[/tex]

Solve for x

[tex]x = -\frac{2}{2}[/tex]

[tex]x = -1[/tex]

Substitute [tex]x = -1[/tex] in [tex]y =x-2[/tex]

[tex]y = -1-2[/tex]

[tex]y = -3[/tex]

So, the missing coordinate is:

[tex]D = (-1,-3)[/tex]


Related Questions

Which of the following is most likely the next step in the series

Answers

Answer:

it should be answer "C"

Step-by-step explanation:

each picture it removes 1 point, first one has 4, next has 3, next has 2, ect.

Drag the tiles to write a numerical expression for the following calculation.

Divide the difference between 70 and 20 by 25.

Answers

The answer to your question is 48

A photographer shines a camera light at a particular painting forming an angle of 40° with the camera platform. If the light is 58 feet from the wall where the painting hangs, how high above the platform is the painting?

Answers

Answer:

Let y be the height above the camera platform of the painting.

tan (40degrees) = y/58

y = 58[tan(40)] = 58(0.8391) = 48.67 feet.

y = 48.67 feet

Step-by-step explanation:

Solve the triangle, round answers to the nearest tenth.

Answers

Step-by-step explanation:

to get DE nd also EF u can use the cosine rule since two angles and a side has been given

and to get the angle at D since we know ∆=180 then u add up the angles given then u subtract from 180

What is equivalent to 12:20

Answers

some equivalent could be-
6:10
24:40
36:60

Answer:

3:5 or 3/5

Step-by-step explanation:

12:20

3:5

it can be 3/5 also

Can someone help me with this and explain it?

Answers

Answer:

4 pizzas

Step-by-step explanation:

Equation:

12x + 7 = 55

12x = 55 - 7

12x = 48

x = 4

Find the unit rate.if 5 pounds of potatoes cost $8.60, how much does one pound of potatoes cost.​

Answers

$1.72. Mark as brainliest?

Answer:

1.72

Step-by-step explanation:

8.60= 5 Pounds

So you divide by 5

8.60/5

1.75

Find the missing angle

Answers

Answer:

If this is a parallelogram:

∠y = 112°

corners opposite the 112° corners = 68°      [(360° - 112° - 112°)/2 = 68°]

∠z = 68° - 40° = 28°

∠x = ∠z = 28°

Answer:

x = 28°, y = 112°, z = 28°

Step-by-step explanation:

suppose it's a parallelogram,

in a parallelogram, opposite angles are congruent: y = 112°

40 + 112 + x = 180

=> x = 28°

If 2 lines are cut by a transversal, then the alternate interior angles are congruent: x = z => 28° = z

PLZ HELP QUICK WILL MARK BRAINLIEST

Answers

Answer:

21

Step-by-step explanation:

if u can explain please :)

Answers

Answer:

it would be c because 12+8 = 20 and 24 is closer to 20

2. Christine can bake cookies for a school bake sale to
raise money for the school's soccer team in 9 hours. If
her friend, Emily, on the soccer team helps her, it only
takes 4 hours. How long would it take Emily to bake the
cookies alone?

Answers

Answer:

the time taken by Emily to bake the cookies alone is 7.2 hours

Step-by-step explanation:

The time taken by Emily to bake the cookies alone is shown below:

Given that

Christine can bake cookies in 9 hours

And, if her friend Emily is also helps her so it only takes 4 hours to bake the cookies

Now based on the above information

[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{4} \\\\\frac{1}{x}= \frac{1}{4} - \frac{1}{9} \\\\\frac{1}{x}= \frac{9 - 4}{36} \\\\\frac{1}{x}= \frac{5}{36} \\\\x = \frac{36}{5}\\\\= 7.2 hours[/tex]

Hence, the time taken by Emily to bake the cookies alone is 7.2 hours

Determine if the two triangles are congruent. If they are state the condition

Answers

Answer:

They are congruent, SAS, hope am right, wasn't sure about this

A storage container in the shape of a right cylinder is shown in the diagram. What is the volume
of this container?

A 56.55 in
8. 125.66 in
C251.33 in
D. 502.65 in

Answers

Answer:

D

Step-by-step explanation:

502.65

goodluck on your test

Answer:

The volume of the container in the form of a right cylinder is 502.4 cubic inches.

Step-by-step explanation:

What is volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

What is right cylinder?

A right circular cylinder is a three-dimensional solid shape that consists of two parallel bases linked by a closed circular surface.

The volume of a right cylinder is,

[tex]V=\pi r^{2} h[/tex]

Here, r=4in and h=10in

[tex]V=3.14*4^{2} *10\\V=3.14*16*10\\V=502.4[/tex]

Hence, the volume of the container is 502.4 cubic inches.

To know more about volume, right cylinder here

https://brainly.com/question/27661314

# SPJ2

Solve the following system by graphing.
y = x^2+ 3x + 5
y = -x + 2

Answers

Answer:

[tex]y = ( - 3)^{2} + 3 \times ( - 3) + 5 \\ y = 5 \\ (x.y) = ( - 3.5)[/tex]

brainyliest pls

A rectangular garden has an area of 3/7 square miles. If its length is 2/8 miles, what is its width?

Answers

Answer:

3/7 divided by 2/8 would be your simple equation to find the missing length:

3            8

__   x   ___ = 24/14 *simplify* 1 10/14 *simplify more* 1 5/7

7             2

Step-by-step explanation:

Make the divisor a reciprocal (just turning the fraction upside down) then turn the division sign into a multiplication sign and do multiplication across to get your final answer, 1 5/7 is your answer.

Whenever finding a missing side length always divide the area by the known given length.

A rectangular prism has a length of 1 yards, a width of 2) yards, and a height of 4 yards.
Enter the volume of the prism as a mixed number in simplest form in the box.

Answers

Answer:

8

Step-by-step explanation:

2*1*4=8

503.74 - 276.21 pls help need answer nowwwwww

Answers

Answer:

227.53

Step-by-step explanation:

503.74 - 276.21 = 227.53

Hey can you help me fast!!!

Answers

Answer: -15 + 42

Step-by-step explanation:

Help me plssss
Find m < ABC.

Answers

Answer:

m<ABC=51°

Step-by-step explanation:

The inscribed angle is half the measure of the intercepted arc. This means that angle ABC=1/2 arc AC

Using this, let's make an equation

5x+11=(1/2)(16x-26)

5x+11=8x-13

11=3x-13

24=3x

x=8

Now go back to angle ABC and substitute for x

5(8)+11=51

m<ABC=51°

Answer:

m<ABC = 51

Step-by-step explanation:

m<ABC = 1/2 arc AC

(5x + 11) = 1/2(16x-26)

x=8

Plug it in

5(8) + 11 = 51

El radio de la base de un cono circular recto mide 18.8 cm. ¿Cuál es el mayor valor que se puede tomar la altura h, para que el volumen sea máximo 416.4 centímetros cúbicos?

Answers

Respuesta:

21,16cm

Explicación paso a paso:

Volumen de un cono = 1 / 3πr²h

r es el radio de la base del cono

h es la altura del cono

Dados los siguientes valores

radio r = 18,8cm

Volumen = 416,4 centímetros cúbicos

Sustituir en la fórmula y obtener la altura.

Volumen de un cono = 1 / 3πrh

416,4 = 1 / 3π (18,8) h

416,4 = 1/3 * 3,14 * 18,8 h

416,4 = 19,6773h

Intercambio

19,6773h = 416,4

h = 416,4 / 19,6773

alto = 21,16 cm

Por lo tanto, el valor más grande que se puede tomar para la altura h, por lo que el volumen es un máximo de 416,4 centímetros cúbicos es 21,16 cm.

Answer:

21,16cm

Step-by-step explanation:

Espero que esto ayude

pls help me with 3,4, and 5

Answers

Answer:

#3 C. Subtract 11

#4 D. Subtract 10

#5 A. Add 9

Answer:

Step-by-step explanation:

3) Subtract 11

25-11=14

42-11=31

42-11=31

50-11=39

59-11=48

4) Subtract 10

26-16=10

32-10=22

44-10=34

48-10=38

55-10=45

5) Add 9

10+9=19

22+9=31

23+9=32

24+9=33

46+9=55

asap plssssss helpppppppp

Answers

Answer:

Answers are below.

Step-by-step explanation:

1. b - [tex]c^{2}[/tex]

2. 24/2a

3. 150 - (6 + b)

4. 2c + 10

5. 35 - m

6. 4m

7. (g + 4) 2

8. m - 5 / 4

hope this helps and is right. p.s. i really need brainliest :)

Find two sets of values for c and d such that
16c = 2d

Answers

Answer:

both 0 is one and c = 1 while d = 4 is another

Step-by-step explanation:

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain

Answers

when 2 lines intersect ,4 angles are formed.in that vertically opposite angles will be equal. adjacent angles will be found using linear pair{sum of linear pair of angles will be 180degree}

Answer:

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

A glass marble has a radius of 1cm. How much glass is in the marble?

Answers

Answer:

4.19cm^3

Step-by-step explanation:

π^2

V=[tex]\frac{4}{3}[/tex]πr^3

= 4/3·π·13≈4.18879

The volume of a square prism is 192 in. If the height of the prism is three times the length of the base, what is the height of the prism?

Answers

Definition: Volume=Length * Width * Height

Using: Volume=v, Length=l, Width=w, Height=h

Given: v=192, l=8, w=6

Task: solve for Height

We write:

initial: v=l*w*h

symmetric inversion: l*w*h=v

solve for h: h=v/(l*w)

substitute givens: h=192/(8*6)

simplify arithmetic: h=192/48

evaluate arithmetic: h=4

solution: Height = 4

Answer:

what are the other dimensions ?

Step-by-step explanation:

What is the product of 7 radical 3 and 9 radical 15 in simplest radical form?

Answers

Keke is that bit.ch and you know i'm with the shi. and i will beat the hell out of you so get the fu.ck out my face

PLEASE HELP ME ASAP PLS

Answers

Answer:

5.3

Step-by-step explanation:

3x+4=28

x+4=28/3

x+4=9.3

x=9.3-4

x=5.3

Harrison ,Tad and dale ride their bikes to school Harrison rides 3/4 mile,Tad rides 3/8 and dale rides 3/6 mile. Compare and order and distances the boys ride from least the greatest

Answers

Answer:

3/8 , 3/6. 3/4

Tad drove the least miles because the miles ridden is less than both 3/6 and 3/4 miles

Dale rode the second greatest mile because the miles ridden is greater than 3/8 but less than 3/4

Harrison rode the greatest mile because the miles ridden is greater than both 3/6 and 3/8

Step-by-step explanation:

to order the miles ridden , convert the fraction to decimals. to do this, divide the numerator by the denominator

3/4 = 0.75

3/6 = 0.5 miles

3/8 = 0.374

which is the solution to 4/5(n-3)=n-2

Answers

Answer:

-2 = n

Step-by-step explanation:

Multiplying both sides by (5/4) quickly isolates (n - 3):

(5/4)(4/5)(n - 3) = (5/4)(n - 2), or

n - 3 = (5/4)(n - 2)

Let's eliminate fractions by multiplying both sides by 4:

4n - 12 = 5n - 10

Combining like terms, we get -2 = n

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