The coordinates for three points of a rectangle are (2, 6) (2, 9) and (8, 6). What is the coordinate for the fourth point in the rectangle? The coordinates for the fourth point in the rectangle is

Answers

Answer 1

Answer:

(8,9)

Step-by-step explanation:

Given

[tex]A = (2,6)[/tex]

[tex]B = (2,9)[/tex]

[tex]C = (8,6)[/tex]

Required

Determine the 4th point

The coordinate point of a horizontal or a vertical rectangle is given as:

(x1,y1), (x2,y2), (x3,y3), (x4,y4)

Where:

[tex]x_1 = x_2[/tex]        [tex]x_3 = x_4[/tex]         [tex]y_1 = y_3[/tex]        [tex]y_2 = y_4[/tex]

So, we have:

[tex]A = (2,6)[/tex] --- [tex](x_1.y_1)[/tex]

[tex]B = (2,9)[/tex] ---- [tex](x_2.y_2)[/tex]

[tex]C = (8,6)[/tex] ---- [tex](x_3,y_3)[/tex]

Using the above equations:

[tex]x_3 = x_4[/tex][tex]=8[/tex]        

[tex]y_2 = y_4[/tex] [tex]= 9[/tex]

Hence, the coordinate of the 4th point is:

[tex](x_4,y_4) = (8,9)[/tex]


Related Questions

A circular flower bed is 17 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.

The area of the sidewalk is __ m2.

Answers

Answer: 56.55 m^2

Step-by-step explanation:

knhkfjvvjhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

??????? what ?????????

5m<6m+6 pls help me ​

Answers

Let's solve your inequality step-by-step.

5m<6m+6

Step 1: Subtract 6m from both sides.

5m−6m<6m+6−6m

−m<6

Step 2: Divide both sides by -1.

−m / −1 < 6 / −1

m>−6

Answer:

m>−6

Factor 6d^2−21d...The factored polynomial is _.

Answers

Answer:

d = 7/2

Step-by-step explanation:

6d² - 21d = 0

d (6d - 21) = 0

6d - 21 = 0/d

6d - 21 = 0

6d = 21

d = 21÷6

d = 7÷2

Given ⊙N, what is mABC ?



A. 111°
B. 138°
C. 222°
D. 276

Answers

Answer:

111°

Step-by-step explanation:

angles around a point = 360

360-138=222

angles at the centre is double the circumference

222÷2

= 111

In the basket and 12 of them are oranges what percentage of the pieces of fruit in the basket or orange show your work in the box and circle your answer.

Answers

Answer:

60%

Step-by-step explanation:

There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket are orange show your work in the box and circle your answer

Total oranges in the basket = 20

Number of oranges = 12

what percentage of the pieces of fruit in the basket are orange

= Number of oranges / Total pieces of fruits × 100

= 12/20 × 100

= 0.6 × 100

= 60%

Percentage of the pieces of fruit in the basket that are oranges = 60%

Exponential functions have a variable as an exponent.
Which of these functions are exponential?

Answers

Answer:

First, third and the last.

Step-by-step explanation:

y = 2^r + 1

The variable r is an exponent

FIND THE ANGLE OF DEPRESSION. PLS HELP. I WILL MARK YOU A BRAINLEST

Answers

Answer:

62.2° (or 1.1 rad)

Step-by-step explanation:

Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.

Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.

∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°

Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.

α ≈ 90° - 27.82° = 62.18°

or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad

See above for properly rounded values.

Which expression represents the determinant of A=[-6 -7 -4 -2
]

Answers

Is that the whole problem?

Answer:

C) det(A) = (–6)(–2) – (–4)(–7)

Step-by-step explanation:

The determinant is ad-bc so when you plug in the numbers you get this answer. Also I got it right on Edge 2021 :)

What two things make a graph proportional?​

Answers

The y intercept and the gradient
The y can interpret the and gradient

A truck travels 333 km in 6 hours. What is the truck’s speed for that trip?

Answers

Answer:

55.5 km

Step-by-step explanation:

speed=distance/time

55.5= 333/6

Answer:

55.5 km per hour

Step-by-step explanation:

The simple formula is D_S-T

D is at the top for Distance

S is down to the left for speed

And T to the right as Time

Its simple so just take

Distance: 333km

Time: 6 hrs

333÷5=55.5/1

Z^3
Z^3
Slove this expression plz help me

Answers

Answer:

z^6

Step-by-step explanation:

I'm assuming you're meant to multiply here.

z^3(z^3) = z^6

Add exponents when multiplying.

14 - 3x = -13
find x no need to show work

Answers

I believe the answer is 9

How long (in years) would $900 have to be invested at 11.3%, compounded continuously, to earn $500 interest? (Round your answer to the nearest whole number.)

Answers

Answer:

6.13 years

Step-by-step explanation:

The computation of the number of years is shown below:

As we know that

Amount = Principal ×e^{rate,time period}

($900 +  $500)  = $700 × e^{11.3%, time period}

$1,400 = $700 × e^{11.3%, time period}

ln(2) = 0.113× time period

0.693147181 ÷ 11.3 = time period

= 6.13 years

P(x)=0.2x^2+20x-4 where x is the number of units sold. How many units need to be sold for the business to make a profit of $101?

Answers

Answer:

5

Step-by-step explanation:

Given the profit equation ;P(x)

x = number of units sold

P(x) = profit made

P(x) = 101

101 = 0.2x^2+20x-4

0.2x^2+20x-4 - 101

0.2x² + 20x - 105 = 0

Using the formula:

-b±[sqrt(b² - 4ac) / 2a]

Where ;

a = 0.2 ; b = 20, c = - 105

Using the quadratic equation solver to save time :

The roots are :

-105 and 5

Items sold cannot be negative ;

Hence, x = units sold = 5

The length of a rectangle in centimeters is two more than thrice its width. a) Write an expression, in the simplest form, for the perimeter of the rectangle. b) Find the length of the rectangle if the perimeter is 36 cm

Answers

Answer:

Perimeter of the rectangle = 8 x +4

Length of the rectangle = 12 units.

Step-by-step explanation:

Let the width of the rectangle as 'x' units.

So, length of the rectangle is 2 more than 3 x.

We can set up expression for length as 3 x+2.

Now, perimeter is sum of all side lengths of the rectangle.

So, perimeter = x+x+3 x+2 +3 x+2

Combine like terms,

Perimeter = 8 x+4

Now, it is given perimeter is 36cm

So,

8 x+4=36

Subtract both sides 4

8 x=32

Divide both sides by 8

x=4

So, width of the rectangle =4

Length =3(4) +2=14

In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a

Answers

Answer:

It must be proven to be a quadrilateral

Step-by-step explanation:

The question is straightforward, and it requires a direct answer.

A rhombus has four sides and as such it means it is a type of quadrilateral.

So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.

A) x+1

B)5x-3

C)3x-1

D)9x-3

Answers

Answer:

D)9x-3

Step-by-step explanation:

Perimeter = 2x + 4x - 2 + 3x - 1 ( add all the sides )

Bring the like terms together and simplify.

= 2x + 4x + 3x - 2 - 1

= 9x -3

Given y = 4x- 5. Express x in terms of y.​

Answers

Answer:

y+5/4 = x

Step-by-step explanation:

I think that this will get really messy if you integrate with respect to y.

Here is what I suggest you do.

=2+82−5y=2x+8x2−5

Evaluated at =1y=1 and =5y=5

1=2+82−5=21=2x+8x2−5x=2

5=2+82−5=1

5=2x+8x2−5x=1

∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx

what is the missing side length in the triangle below

Please give me step-by-step explanation please :’))

Answers

Answer:

45

Step-by-step explanation:

What is the lateral surface area of this rectangular prism in square centimeters

Answers

Answer:

give me sec waitttttttt give me sec is their any answer choice

The bank contains pennies, nickels, dimes, and quarters. There are 4 more nickels than pennies. How much money does the bank contain

Of the 50 coins 10% are pennies and 42% are dimes

Answers

5 pennies (5c)
9 nickels (45c)
21 dimes ($2.10)
15 quarters ($3.75)
We then all the totals together for how much money the bank has
$6.35

The amount of money in the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.

First, let's find the number of pennies in the bank.

Since 10% of the coins are pennies, and there is 50 coins total, the number of pennies is :

10/100 × 50 = 5

Now let's find the number of dimes. Since 42% of the coins are dimes, and there is 50 coins total, the number of dimes is :

42/100 × 50 = 21

Since there are 4 more nickels than pennies, the number of nickels is :

5 + 4 = 9

Finally, the number of quarters is: 50 - 5 - 9 - 21 = 15

Thus, the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

#SPJ2

Find the angle between the given vectors to the nearest tenth of a degree.

u = <-5, 8>, v = <-4, 8>

2.7°
-7.3°
5.4°
15.4°

Answers

9514 1404 393

Answer:

  (c) 5.4°

Step-by-step explanation:

We can simply determine the difference between the angles of the vectors:

  arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°

The angle between the vectors is about 5.4°.

__

Alternate solutions

1) We could also determine the angle of their ratio.

  u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i

  angle = arctan(0.1/1.05) = 5.440°

__

2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))

  tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))

  = (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2

  ∠u -∠v = arctan(2/21) = 5.440°

Question: Jlm has a total of 77 red and blue marbles. The number of blue marbles is five more than twice the number of red marbles.
a. Write a pair of linear equations to represent the information Be sure to state what the variables represent. b. Explain the substitution method of solving this pair of equations Solve the equations to find the number of red marbles. Show your work​

Answers

Answer:

24 red and 53 blue

Step-by-step explanation:

Red marbles = rBlue marbles = b

Required equations:

r + b = 77b = 2r + 5

Substitute b into first equation:

r + 2r + 5 = 773r = 72r = 24

Find b:

b = 2*24 + 5 = 53

[Help asap, will mark brainliest] Find the distance between the following pairs of points on the coordinate plane. Round to the nearest tenth if necessary.

The distance between point A and point D = units

Answers

Answer:

8.06 units  = AD

(just write sq rt 65 = 8.062 ) then write or try sq rt of 65  to 3 sf = nearest tenth 8.06 tenth units rounded.

Step-by-step explanation:

AE = 7

ED = 4

We use Pythagoras Theorem as it is a right angle as AE^2 + ED^2 = AD^2

7^2 + 4^2 = AD^2

49 + 16 = 65 sq rt

sq rt  65 = AD^2 = 8.062^2

AD = 8.062 units

30 POINTS!!! Kent won 25% of the games he played on Saturday. If he lost 12 games on Saturday, and no game ended in a tie, how many games did he win?

Answers

Answer:

He won 4 games

Step-by-step explanation:

Percentage of games he lost= 75%

Let the total number of games be [tex]x[/tex]

75% of [tex]x[/tex] = 12

[tex]\frac{75x}{100}[/tex] = 12

75[tex]x[/tex]= 12 x 100

[tex]x[/tex]= [tex]\frac{1200}{75}[/tex]

 =16

Number of games he won = 16-12

                                            = 4

Answer:

4

Step-by-step explanation:

If Kent won 25% of the games, he lost 75% of them. Thus if g is the total number of games he played,

12 = 0.75(g) ---> g=16

So the number of games he won was 16 - 12 = 4.

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=58°, and DE = 42 feet. Find the length of EF to the nearest tenth of a foot.

Answers

Answer:

35.6

Step-by-step explanation:

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. . 4,2,1,...

Answers

Answer: Geometric sequence

Step-by-step explanation:

The common ratio will be:

= 2nd term / 1st term

= 2/4

= 1/2

Also, Using thw 3rd and 2nd term gives:

= 1/2

Common difference will be:

= 2nd term - 1st term

= 2 - 4

= -2

Using thw 3rd and 2nd term gives:

= 1 - 2

= -1

From the above, we can see that it's a geometric progression as the common ratio is thesame.

-1/3+1/2 simplified??

Answers

Answer:

1/6

Step-by-step explanation:

Which best describes the behavior of the function
f(x)=2/3x-2?

A) It is a constant.
B) It is increasing.
C) It is decreasing.
D) It is both increasing and decreasing.

Answers

Answer:

Step-by-step explanation:

B)  it is increasing,  the slope  of  2/3  tells you it's going up  

Using concepts of linear functions, it is found that the correct option is given by:

B) It is increasing.

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

The equation of a linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope, being the value that describes its behavior.

If m = 0, the function is constant.If m > 0, the function is increasing.If m < 0, the function is decreasing.

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

In this question, the equation of the line is:

[tex]f(x) = \frac{2}{3}x - 2[/tex]

The slope is [tex]m = \frac{2}{3}[/tex], which is positive, thus the function is increasing, and the correct option is B.

A similar problem is given at https://brainly.com/question/10026522

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