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2 years ago

Work out the equation of the line which has a gradient of 2 and passes through the point (1,4)

Mathematics

1 answer:

Tom [10]2 years ago

8 0

gradient is 2

Step-by-step explanation:

hhhhhhhhfhdd

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A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

3 0

2 years ago

Read 2 more answers

raj has 16 cups of flour he uses 3 1/2 cups to make bread and 4 3/4 cups to make muffins how many coups of flour does raj have l

DiKsa [7]

Answer:

31/4 cups of flour have left.

Step-by-step explanation:

3 1/2=7/2

4 3/4=19/4

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

16-7/2-19/4

64/4-14/4-19/4

31/4

6 0

3 years ago

Read 2 more answers

2x+4(7)+9-5 what is the answer

Hatshy [7]

I take it we aren't solving for x.

2x + 28 + 9 - 5

2x + 28 + 4

2x + 32.

8 0

2 years ago

What are the solutions of 12 – x2 = 0?

Kruka [31]

Answer:

x = ± 2 $\sqrt{3}$

Step-by-step explanation:

Given

12 - x² = 0 ( add x² to both sides )

12 = x² or

x² = 12 ( take the square root of both sides )

x = ± $\sqrt{12}$

= ± $\sqrt{4(3)}$ = ± 2 $\sqrt{3}$

5 0

2 years ago

Can someone please help me with 3

FrozenT [24]

U believe the answer is no, I believe this because eight 9 oz. bags is 72 oubces and both of them make less than that in 10 minutes. Machine A would make 42.5 oz in 10 minutes and Machine B would make 45 oz in 10 minutes.

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3 years ago