Find The area of the parallelogram

Answer:

x = 1

y = -1

z = 2

Step-by-step explanation:

You have the following system of equations:

[tex]x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)[/tex]

First, you can subtract euqation (3) to equation (1):

x + 2y - z = -3

-x +y  -z = - 4

0   3y  -2z = -7    (4)

Next, you can multiply equation (3) by 2 and subtract it to equation (2):

2[ x -y + z = 4]

-2x +y -z = -5

  0 -y + z= 3     (5)

You multiply equation (5) by 2 and sum (5) with (4):

2[ -y  + z = 3]

   3y  -2z= -7

  y  + 0 = -1

Then y = -1

Next, you replace y=-1 in (5) to obtain z:

-(-1) + z = 3

z = 2

Finally, you can replace z and y in the equation (3) to obtain x:

x - (-1) + (2) = 4

x = 1

Answer: x=1 y=-1 z=2

Step-by-step explanation:

Answer:

The house value increase by $17,040 in dollar terms

The current value of the house $ 230,040

Step-by-step explanation:

The increase in value of the house can be determined as the difference between the value of the house now after 8% increase in value and the earlier value of $213,000

new value=earlier value *(1+% increase in value)

% increase in value is 8%

new value=$213,000*(1+8%)

                 =$213,000*1.08=$230,040.00  

increase in value= $230,040-$213,000=$17,040

The increase in value of the house of 8% translated into a dollar value of $17,040

Answer:

I want to stand on my own three feet

Step-by-step explanation:

Answer:

its y = 3x + 4

Step-by-step explanation:

it is because the y intercept is 4 and the slope is 3/1

Answer:

divide both sides by 2

Step-by-step explanation:

divide both sides by 2 then simplify and get x = 9 over 32

Answer:

Transposing square to rhs,it becomes root

Step-by-step explanation:

[tex]x^{2} =9/16[/tex]

[tex]x=[/tex][tex]\sqrt{9}/\sqrt{16\\[/tex] (transposing square to rhs,it becomes root)

[tex]x= 3/4[/tex]

Hope it helps...Pls mark as Brainliest!!!

The question is missing. The complete question is:

Two datasets arranged in descendind order are: {8,x,4,1} and {9,y,5,2}. If the medians of the two given datasets are equal, what is the value of

(y-x)² ?

Answer: (y-x)² = 1

Step-by-step explanation: Median is the middle term of a data set.

In both datasets, there are an even quantity of number, so, to calculate median, sum the two center values and divide it by 2.

1) To facilitate, arrange it in ascending order:

(1,4,x,8) and (2,5,y,9)

Median of the first:

[tex]\frac{4+x}{2}[/tex]

Median of the second:

[tex]\frac{5+y}{2}[/tex]

As medians are the same:

[tex]\frac{4+x}{2}[/tex] = [tex]\frac{5+y}{2}[/tex]

4+x = 5+y

x - y = 5 - 4

x - y = 1

The question asks for (y-x)², so

y - x = -1

(y-x)² = (-1)²

(y-x)² = 1

Answer:

D.6

Step-by-step explanation:

Answer:d)4

Step-by-step explanation:

Answer:

the answer is [tex]\sqrt{53}[/tex]

Step-by-step explanation:

Answer:

Second option

Step-by-step explanation:

Diagonal² = 6² + 4²

Diagonal² = 52

AB² = diagonal² + 1²

AB² = 52 + 1

AB² = 53

AB = sqrt(53)

Answer:

Out side the circle

Step-by-step explanation:

This is because the center is 0 and if the point 6, square root seven is on the circle that mean that as far as the circle goes on each side.

Answer:

max buys 5 packs of 8 stickers for his class. Then he buys 6 additional stickers. How many stickers did he buy in total?

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer: 11.4

Step-by-step explanation:

change to numbers [tex]\frac{3}{5} (13+6)[/tex]

simplify [tex]\frac{3}{5} (19)\\11.4[/tex]

Answer:

1 hour, 18 minutes, 45 seconds

Step-by-step explanation:

Let's use a ratio:

dogs : minutes

 4     :     45

 1      :   11.25

 7      :    78.75

78.75 minutes or 1 hour, 18 minutes, 45 seconds.

Answer:

2003.85

Step-by-step explanation:

365/2 * (3 + 1095) = 200385.

1 Dollar = 100 pennies

200385 pennies/100 = 2003.85

so you have $2003.85 in your account on the 365th day.

hope this helps :-)

Answer:

22

Step-by-step explanation:

it is epuivalet

Answer:

hmmm not sure

Step-by-step explanation:

try mulitply the numbers

Answer:

$165

Step-by-step explanation:

Answer:

156$

Step-by-step explanation:

Answer:

The first choice is correct

Answer:

A which is the top left answer

Step-by-step explanation:

Answer:

Area≈153.94in²

Answer:

[tex]y-3=\frac{1}{5} (x-2)[/tex]

Step-by-step explanation:

First you need to find the slope by using this formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{(4)-(3)}{(7)-(2)}\\m=\frac{1}{5}[/tex]

Now you can put it in point slope form which is: [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=\frac{1}{5} (x-2)[/tex] is your answer.

Answer:

25 inches

Step-by-step explanation:

Using the Pythagorean theorem;

20^2 + 15^2 = C^2

C= 25

Answer:

its 25

Step-by-step explanation:

there right

5.25 per hour dependent

independent raking leaves

Answer:

B. No

Step-by-step explanation:

In order to see if (4, 2) is a solution, we have to plug 4 in for x and 2 in for y in the equations. If it's a true statement, then we know that the point is a solution.

One of the equations is y = 3x + 4. Plug in 4 for x and 2 for y:

y =? 3x + 4

2 =? 3 * 4 + 4

2 =? 12 + 4

2 ≠ 16

Thus, we know that (4, 2) is not a solution and the answer is B.

~ an aesthetics lover

Answer:

y= ax^2 + bx + c although this is the quadratic form in standard form

Answer:

D: 132 ft

Step-by-step explanation:

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

Answer:

132

Step-by-step explanation:

Answer:

In the books of Wirtz, the selling party, the required entries are

Debit Accounts receivable $780

Credit Revenue $780

Being entries to recognize sales revenue on account

Debit Cost of sales $470

Credit Inventory  $470

Being entries to recognize the cost of items sold

In the books of Cha Company

Debit Inventory $780

Credit Accounts payable  $780

Being entries to record cost of inventory purchased

Step-by-step explanation:

When a company makes a sale, the effect of such sale is dual in the books of the company being that the company would first recognize revenue and then recognize the cost of items sold.

To recognize revenue,

Debit Cash/Accounts receivable

Credit Revenue

To record the cost of the item sold

Debit Cost of sales

Credit Inventory

For the party that makes the purchase

Debit Inventory

Credit Cash/Accounts payable

Answer:

13th term = 47

General term: Tn = 11 + 3(n-1)

Sum of the first 40 terms = 2780

Question:

Find the thirtieth term of the arithmetic progression of difference 3 and the first term 11. Find the general term of the progression and the sum of the first forty terms.

Step-by-step explanation:

Common difference (d)= 3

First term = a = 11

Find attached the solution of problem.

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]

-4x + 60 = 0

-4x = -60

[tex] x = \frac{-60}{-4} = 15 [/tex]

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²