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barxatty [35]
3 years ago
5

How to graph 2y-10x=20

Mathematics
1 answer:
aksik [14]3 years ago
5 0
First, put it into slope/intercept form so you can see what you've got.

"Slope/intercept form" is    <em>  y = everything else</em>  .

So that means you have to take the equation you have and "solve it for 'y' ".

<u>2y - 10x = 20</u>

Add  10x  to each side:        2y = 10x + 20

Divide each side by  2 :       <em> y  =  5x  +  10</em>

There it is. 
Now that you have it in that form, you can just look at it and see that the
slope of the line on the graph is  5, and the line crosses the y-axis at 10.

And that's exactly the information you need to graph it.  On your graph,
mark a little dot on the y-axis at  10, and draw a line through that dot
with a slope of  5.
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Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on the land and pro
Neporo4naja [7]

{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}

★ Sanya has a piece of land which is in the shape of a rhombus.

★ She wants her one daughter and one son to work on the land and produce different crops, for which she divides the land in two equal parts.

★ Perimeter of land = 400 m.

★ One of the diagonal = 160 m.

{\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}

★ Area each of them [son and daughter] will get.

{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}

Let, ABCD be the rhombus shaped field and each side of the field be x

[ All sides of the rhombus are equal, therefore we will let the each side of the field be x ]

Now,

• Perimeter = 400m

\longrightarrow  \tt AB+BC+CD+AD=400m

\longrightarrow  \tt x + x + x + x=400

\longrightarrow  \tt 4x=400

\longrightarrow  \tt  \: x =  \dfrac{400}{4}

\longrightarrow  \tt x= \red{100m}

\therefore Each side of the field = <u>100m</u><u>.</u>

Now, we have to find the area each [son and daughter] will get.

So, For \triangle ABD,

Here,

• a = 100 [AB]

• b = 100 [AD]

• c = 160 [BD]

\therefore \tt Simi \:  perimeter \:  [S] =  \boxed{ \sf \dfrac{a + b + c}{2} }

\longrightarrow \tt S = \dfrac{100 + 100 + 160}{2}

\longrightarrow \tt S =  \cancel{ \dfrac{360}{2}}

\longrightarrow \tt S = 180m

Using <u>herons formula</u><u>,</u>

\star \tt Area  \: of  \: \triangle = \boxed{\bf{{ \sqrt{s(s - a)(s - b)(s - c) } }}} \star

where

• s is the simi perimeter = 180m

• a, b and c are sides of the triangle which are 100m, 100m and 160m respectively.

<u>Putt</u><u>ing</u><u> the</u><u> values</u><u>,</u>

\longrightarrow \tt  Area_{ ( \triangle \:  ABD)} =  \tt \sqrt{180(180 - 100)(180 - 100)(180 - 160) }

\longrightarrow \tt  Area_{ ( \triangle \:  ABD)} =  \tt \sqrt{180(80)(80)(20) }

\longrightarrow \tt  Area_{ ( \triangle \:  ABD)} =  \tt \sqrt{180 \times 80 \times 80 \times 20 }

\longrightarrow \tt  Area_{ ( \triangle \:  ABD)} =  \tt \sqrt{9 \times 20 \times 20 \times 80 \times 80}

\longrightarrow \tt  Area_{ ( \triangle \:  ABD)} =  \tt \sqrt{ {3}^{2} \times  {20}^{2}  \times  {80}^{2}  }

\longrightarrow \tt  Area_{ ( \triangle \:  ABD)} =  3 \times 20 \times 80

\longrightarrow \tt  Area_{ ( \triangle \:  ABD)} = \red{   4800  \: {m}^{2} }

Thus, area of \triangle ABD = <u>4800 m²</u>

As both the triangles have same sides

So,

Area of \triangle BCD = 4800 m²

<u>Therefore, area each of them [son and daughter] will get = 4800 m²</u>

{\large{\textsf{\textbf{\underline{\underline{Note :}}}}}}

★ Figure in attachment.

{\underline{\rule{290pt}{2pt}}}

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
The faces of all prisms are _____________.
Archy [21]

Answer:

Option C, The faces of all prisms are parallelogram

Step-by-step explanation:

A prism  is a form of parallelogram and all its faces are also parallelogram.

The base of a prism is parallelepiped. The base can be of shape of any polygon such as triangle, square, rectangle etc. while the other faces are parallelograms or rectangles

Hence, it can be said that the faces of all prisms are parallelogram

Option C is correct

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3 years ago
-1 3/5 ÷-2/3 as a mixed number​
SCORPION-xisa [38]

\text{Hey there!}

-1\frac{3}{5}\div\frac{2}{3}

-1\frac{3}{5}=-\frac{8}{5}

\text{Problem becomes:}-\frac{8}{2}\div\frac{2}{3}

\text{Solve that, and you will get:}\frac{-4}{5}\div{\frac{3}{1}}

-4\times1=-4

5\times3=15

\rightarrow =\frac{-4}{15}

\boxed{\boxed{\boxed{\bf{Answer:\frac{-4}{15}}}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

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3 years ago
Find the compound amount of $5700.00 at 11.2% p.a. for seven years compounded
vitfil [10]

Answer:

11984.18 dollars

Step-by-step explanation:

Given that an amount of 5700 dollars is invested at 11.2% p.a. for seven years compounded.

We have compound interest formula for Principal P for n years at r% compounded annually is

Final amount = P(1+r)^n\\=5700(1+0.112)^7\\=11984.18

Final amount for 5700 dollars at 11.2% p.a. for 7 years would be

11984.18 dollars.

Answer is 11984.18 dollars

3 0
3 years ago
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