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3 years ago

Find the area of the parallelogram.

Mathematics

2 answers:

frozen [14]3 years ago

8 0

Answer:216 cm

Step-by-step explanation:

Step 1:Find the base and height base:18 cm height:12 cm.

Step 2:Multiply the base and height 18 cm*12 cm=216 cm.

Step 3:Answer 216 cm.

Nonamiya [84]3 years ago

3 0

Answer:

216 square centimeter

Step-by-step explanation:

Area of a parallelogram = base * height

From the image,

base = 18cm

Height = 12cm

Area = 18* 12

= 216 square centimeter

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Write an equation in slope-intercept form for the following line: (-14.1) and (13,-2)

vesna_86 [32]

Answer:

$y=-\frac{1}{9}x-\frac{5}{9}$

Step-by-step explanation:

$(-14,1)(13,-2)$

Use the slope-intercept formula:

$y=mx+b$

m is the slope and b is the y-intercept. Use the slope formula first:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:

$(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))$

$\frac{-2-1}{13-(-14)}$

Simplify parentheses (two negatives makes a positive):

$\frac{-2-1}{13+14}$

Simplify:

$\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}$

The slope is $-\frac{1}{9}$ . Insert into the equation:

$y=-\frac{1}{9}x +b$

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

$(13,-2)\\-2=-\frac{1}{9} (13)+b$

Solve for b, the y-intercept. Simplify parentheses:

$-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}$

$-2=-\frac{13}{9} +b$

Add $-\frac{13}{9}$ to both sides:

$-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9} +b\\\\-2+\frac{13}{9} =b$

Simplify:

$-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\ \\b=-\frac{5}{9}$

The y-intercept is $-\frac{5}{9}$ . Insert this into the equation:

$y=-\frac{1}{9} x-\frac{5}{9}$

Finito.

8 0

3 years ago

Pls help w explanation!!

Rama09 [41]

Answer:

A is the Answer

Step-by-step explanation:

Since the population is being split up into 2 divisions out of 5,000.

This means District X and Y must add up 5000.

$x + y = 5000$

District X and Y must differ no more than 500 people.

So this means that X and Y total people difference cannot be over 500 people. So the equation for this is

$x - y \leqslant 500$

A shows this so A is the answer.

8 0

3 years ago

2/x + 3/y = 13 ; 5/x - 4/y = -2

Tomtit [17]

Given that

(2/x)+(3/y) = 13--------(1)

(5/x)-(4/y) = -2 -------(2)

Put 1/x = a and 1/y = b then

2a + 3b = 13 ----------(3)

On multiplying with 5 then

10a +15 b = 65 -------(4)

and

5a -4b= -2 ----------(5)

On multiplying with 2 then

10 a - 8b = -4 -------(6)

On Subtracting (6) from (4) then

10a + 15b = 65

10a - 8b = -4

(-)

_____________

0 + 23 b = 69

______________

⇛ 23b = 69

⇛ b = 69/23

⇛ b =3

On Substituting the value of b in (5)

5a -4b= -2

⇛ 5a -4(3) = -2

⇛ 5a -12 = -2

⇛ 5a = -2+12

⇛ 5a = 10

⇛ a = 10/5

⇛ a = 2

Now we have

a = 2

⇛1/x = 2

⇛ x = 1/2

and

b = 3

⇛1/y = 3

⇛ y = 1/3

Answer :-The solution for the given problem is (1/2,1/3)

Check: If x = 1/2 and y = 1/3 then

LHS = (2/x)+(3/y)

= 2/(1/2)+3/(1/3)

= (2×2)+(3×3)

= 4+9

= 13

= RHS

LHS=RHS is true

and

LHS=(5/x)-(4/y)

⇛ 5/(1/2)- 4/(1/3)

⇛(5×2)-(4×3)

⇛ 10-12

⇛ -2

⇛RHS

LHS = RHS is true

5 0

3 years ago

Akshay purchased goods costing ₹5,00,000 and sold at 20% profit on cost. Calculate the selling price of goods.

andrey2020 [161]

Answer:

the selling price of the goods is ₹6,00,000

Step-by-step explanation:

The computation of the selling price of the goods are shown below:

As we know that

Selling price = Cost price + profit

= 5,00,000 + 5,00,000 × 0.20

= 5,00,000 + 1,00,000

= ₹6,00,000

Hence, the selling price of the goods is ₹6,00,000

6 0

3 years ago

Edmonds office had already recycled 1 kilogram this year before starting the new recycling plan, and the new plan will have the

exis [7]

Answer:

p = 7w

Step-by-step explanation:

It is given that :

Edmonds office's new recycling plan is to recycle 7 kg of paper each week.

Let the number of weeks be = w

Let the paper recycled = p

Therefore, an equation showing he relation of the amount of papers recycled in each week is given by :

p = 7w

7 0

3 years ago