What's the area and the perimeter of rectangle ABDC shown in the coordinate plane?
Question 2 options:

A)

Area = 32 square units; perimeter = 24 units

B)

Area = 24 units; perimeter = 32 square units

C)

Area = 24 square units; perimeter = 32 units

D)

Area = 32 units; perimeter = 24 square units

Let's solve this problem step-by-step:

Let's set:

  [tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]

(equation1) * 2

  [tex]-4x+4y=12--equation3[/tex]

(equation 2) - (equation 3)

  [tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]

Plug (equation4)'s value of 'x' into (equation1)

  [tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]

Thus x= 1 and y = 4

Let's check:

 [tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]

Answer: x = 1 and y= 4

Hope that helps!

Answer:

25 ft 3 in

Step-by-step explanation:

Mr foote deck is 12 ft 6 in wide

It's length is twice its width with additional 3 inches

Therefore the length can be calculated as follows

12 ft 6 in + 12ft 6 in + 3 in

= (12+12)ft (6+6)in + 3 in

= 24+1 3in

= 25 ft 3 in

Hence the length of the deck is 25 ft 3 in

Answer:

x = 10

Step-by-step explanation:

7x - 3 + 12x - 7 = 180  because angles on a straight line add up to 180 degrees so we equate this to 180. Now we just simplify and solve to get x on one side! :)

19x - 10 = 180

19x = 190

x = 10

I hope this helps!!

Answer:

P=60

Step-by-step explanation:

P=2(l+w)

P=2(14+16)

P=2(30)

P=60

Perimeter of a rectangle with 16in length and 14in width is 60 in.

Perimeter of a rectangle = 2(l+b)

here l = length and b= width

Given : l= 16 in and b= 14 in

perimeter = 2(l+b)

= 2(16+14)

= 2(30)

=60 inches.

The perimeter of rectangle is 60 inches

To learn more about perimeter refer to,

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Answer:

x=-2, y=-4

Step-by-step explanation:I took the test on k12

The required graph of the given function g(x) = 3/(x+2) -4 is given in the image attached below,

Given that,
The graph for the function g(x) = 3/(x +2) - 4 is to be determined.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
g(x) = 3/(x+2) - 4
Since the function has an inverse operator as 1 / (x + 2) the graph for the given function shown in the graph,

Thus, the required graph of the given function g(x) = 3/(x+2) -4 is given in the image attached below,

Learn more about graphs here:

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Answer:

3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

(✿◡‿◡) <--- she wants brainliest

Answer:

6x×9y×15

Step-by-step explanation:

that's the answear I got because you didn't add any math signs so assuming its all multiplication you take 3 and multiply it with each of the numbers with there variables

Answer:

Step-by-step explanation:

[tex]LHS = \frac{\alpha +\beta }{\alpha \beta }\\\\=\frac{\alpha }{\alpha \beta }+\frac{\beta }{\alpha \beta }\\\\=\frac{1}{\beta }+\frac{1}{\alpha }[/tex]

Use KCF method for fraction division

Keep the first fraction, Change division to multiplication and filp the second fraction

[tex]RHS = \frac{\frac{18}{p}}{\frac{9}{p}}\\\\[/tex]

       = [tex]\frac{18}{p}[/tex] ÷ [tex]\frac{9}{p}[/tex]

       [tex]= \frac{18}{p}*\frac{p}{9}\\\\=\frac{18}{9}[/tex]

Answer:

what did you tried last time

The possible outcomes of the game, in terms of first place, second place, and third place, are:

Mohsin, Yusuf, Luke

Mohsin, Luke, Yusuf

Yusuf, Mohsin, Luke

Yusuf, Luke, Mohsin

Luke, Mohsin, Yusuf

Luke, Yusuf, Mohsin

To list all the possible outcomes of the game, we need to consider the different permutations of the three players: Mohsin, Yusuf, and Luke. Since there are three players, there are a total of 3! (3 factorial) possible outcomes, which is equal to 3 x 2 x 1 = 6.

Using the table format, we can list the possible outcomes as follows:

Outcome 1: Mohsin, Yusuf, Luke

Outcome 2: Mohsin, Luke, Yusuf

Outcome 3: Yusuf, Mohsin, Luke

Outcome 4: Yusuf, Luke, Mohsin

Outcome 5: Luke, Mohsin, Yusuf

Outcome 6: Luke, Yusuf, Mohsin

Each outcome represents a different arrangement of the players in the first, second, and third places.

As a result, the following players might finish first, second, and third in the game: Mohsin, Yusuf, and Luke

Luke, Mohsin, and Yusuf

Luke, Yusuf, and Mohsin

Mohsin, Luke, and Yusuf

Yusuf, Mohsin, and Luke

Mohsin, Yusuf, and Luke

These outcomes represent all the different ways in which the players can finish the game.

for such more question on permutations

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Answer:

36$

Step-by-step explanation:

Answer:54 cookies in total

Step-by-step explanation: 3x18=54

Answer: 54 cookies in all

Step-by-step explanation: Evan has 54 cookies because if you do 18x3 you get 54, or if you do 18+18+18 you get 54.

=

Answer:

yes I agree B=3t/h

Step-by-step explanation:

hope this helps :)

Answer:

80 in

Step-by-step explanation:

To find the whole thing: 12 * 12 = 144

To find one square: 144/9 = 16

To find shaded areas: 16 * 5 = 80

Hope this helps =]

Answer:

C if its a parallelogram than opposite sides are parallel

Answer:

the answer is I'll either go with c or d

Answer:

68°

Step-by-step explanation:

We can find this by remembering that tangents meet a circle at a ninety degree angle with the diameter or a radius that touches the point of intersection. By understanding that because these two tangents intersect at a point outside the circle there angle measure is the same so we can use the 180° total in a triangle to find the remaining degrees to be divided into the two measures we need to find. Because 180 - 48 equals 132 we divide this by 2 to get our angle measure of 68 degrees.

Answer:

550w>4500+200w

Step-by-step explanation:

Expenses: $4500 + $200 per week

Income: $550 per week

We want income to be greater than expenses

Answer:

54

Step-by-step explanation:

Step-by-step explanation:

First take 15percent of 360 and decrease the answer from 360

Answer:

A. (-3, 5.7)

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The ordered pair that satisfies the given inequality is (–3, 5.7).

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The ordered pair that satisfies the given inequality is the solution set of the inequalities, the inequality can be written as,

[tex]4y^2+x-32y+68 > 0\\\\4y^2-32y+68 > -x[/tex]

Now, let's substitute the value of the first ordered pair, (–3, 5.7),

[tex]4(5.7)^2-32(5.7)+68 > -(-3)\\\\129.96-178.24+68 > 9\\\\19.72 > 9[/tex]

Since the inequality is satisfied the ordered pair is a set of solutions.

For the second ordered pair (-5.9,4),

[tex]4y^2-32y+68 > -x\\\\4(4)^2-32(4)+68 > -(-5.9)\\\\64-128+68 > 5.9\\\\4 > 5.9[/tex]

Since inequality is not true it is not the solution to the problem.

For the third ordered pair (-8, 5),

[tex]4y^2-32y+68 > -x\\\\4(5)^2-32(5)+68 > -(-8)\\\\64-128+68 > 8\\\\8 > 8[/tex]

Since inequality is not true it is not the solution to the problem.

For the fourth ordered pair (-13, 3),

[tex]4y^2-32y+68 > -x\\\\4(3)^2-32(3)+68 > -(-13)\\\\64-128+68 > 13\\\\8 > 13[/tex]

Since inequality is not true it is not the solution to the problem.

Learn more about Inequality:

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Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

Answer:

$797.30 or B on egunty :

)

Answer:

The answer is B.$797.30 on Edge 2021

Answer:lol

Step-by-step explanation:

Answer:

8,039

Step-by-step explanation:

4097

3188

 754

---------

8039

Answer:

4097 + 754 + 3188 = 8039

Step-by-step explanation:

4097 + 754 + 3188

4851 + 3188

8039

Answer:

Here, the given expression is,

62 % of 45

  ( 1 % =  )

  ( Dividing 62 by 100 )

Hence, Option A and C are correct

Answer:

y=0

Step-by-step explanation:

The two points if graph make a horizontal line. A horizontal line slope is 0

Answer:

x=3

Step-by-step explanation:

-8x-(8x)=-48

-8x-8x=-48

Collect like terms

-16x=-48

Divide both sides by-16

x=3