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3 years ago

Convert the following equation into simultaneous equation and solve

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

Answer:

x=4/5

y=1/5

Step-by-step explanation:

X/y=4...(1)

1/x+1/y=1/xy...(2)

From (1) make x the subject of formula

x=4y...(3)

Substitute (3) into (2)

I/4y+1/y=1/4y^2

Let the LCM be 4y

1+4/4y=1/4y^2

Cross multiply

5(4y^2)=4y

20y^2=4y

Divide both sides by 4y

5y=1

Divide both sides by 5

y=1/5

Substitute y=1/5 into(3)

x=4(1/5)

x=4/5

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Find the area of the shaded region.

kolbaska11 [484]

Answer:

$\boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}$

Step-by-step explanation:

Given:

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

And,

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

To Find:

The Area of Shaded region

Solution:

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

$\boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}$

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

$\tt\longrightarrow \: Area =B×h-l×b$

Put their values accordingly:

$\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2}$

Simplify it.

[Follow BODMAS Rule strictly while simplifying]

$\tt\longrightarrow \: Area = (84 - 45 ) in {}^{2}$

$\tt\longrightarrow \: Area = 39 \: {in}^{2}$

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

$\rule{225pt}{2pt}$

I hope this helps!

8 0

2 years ago

Read 2 more answers

A voice grade modem has a maximum data rate of 14,400 bps. What would be the maximum data rate of that modem if the number of po

max2010maxim [7]

The maximum data rate of that modem is doubled if the number of points in its constellation were doubled

According to statement

Modem has a data rate is 14,400 bps

we know that the data rate can be calculated by T=A/S

If a is Doubled then the data rate is also doubled.

Because A is directly proportional to the T and S is inversely proportional to T.

So, The maximum data rate of that modem is doubled if the number of points in its constellation were doubled

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1 year ago

What is the solution to this equation -13x=52

Tom [10]

Answer:

-4

Step-by-step explanation:

You multiply -13*-4=52

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2 years ago

6/7 divided by 12/14

S_A_V [24]

Answer:

Step-by-step explanation:

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2 years ago

Kimberly is measuring the temperature fluctuations of a city

VladimirAG [237]

Answer:

Easy Peasy!

Step-by-step explanation:

First we have to set up our equation:

(Let x= Temp. after 5 days)

Sorry, have to define variables. If I didn't do it in Middle School Tests, I get an automatic 0 for that question.

$50-2(3.1)+3(4.8)=x$

So, let's solve!

(If you didn't know what I did there, I just multiplied the rate of the decreasing and increasing temperature by the number of days it was in effect)

$50-6.2 +14.4=x\\58.2=x$

So, the temperature during the fifth day is 58.2 degrees.

Hope this helps!

P.S. Stay Safe!

7 0

3 years ago