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Lubov Fominskaja [6]
4 years ago
6

Solve the elimination method

Mathematics
1 answer:
vlada-n [284]4 years ago
7 0

Answer:

C)No Solution

Step-by-step explanation:

Given  2 equations

  • 4x-2y=1
  • 2x-y=2

Mentioned to solve using eliminations method

4x-2y=1

2x-y=2

Multiply second equation with 2

⇒second equation is 4x-2y=4

Now subtract second equation from 1st equation

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

4x-4x-2y+2y=-3

0+0=3

0=3

But 0≠3

Therefore there exists no solutions for the given pair of equations

Both equations are Parallel lines as they have the same slope

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PilotLPTM [1.2K]

Answer:

\sqrt{6y+7} -\sqrt{y-3} =5\\(\sqrt{6y+7} -\sqrt{y-3} )^2=5^2\\\sqrt{6y+7} ^2+\sqrt{y-3} ^2-2\sqrt{(6y+7)(y-3)} =25\\6y+7+y-3-25=2\sqrt{(6y+7)(y-3)} \\7y-21=2\sqrt{(6y+7)(y-3)} \\(7y-21)^2=(2\sqrt{6y^2-18y+7y-21} )^2\\49y^2+441-294y=4(6y^2-11y-21)\\49y^2+441-294y=24y^2-44y-84\\49y^2-24y^2+441+84-294y+44y=0\\25y^2-250y+525=0\\25(y^2-10y+21)=0\\y^2-10y+21=0\\y^2-7y-3y+21=0\\y(y-7)-3(y-7)=0\\(y-7)(y-3)=0\\y-7=0 or y-3=0\\y=7 ,y=3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Answers please with work, thanks!
Finger [1]
When I divided 4/7, I got .5714285714 then I divided 13/20, and I got .65 so I would say 4/7 I believe.

When I divided 1/4, I got .25 then I divided 1/6, and I got .1666666667 so I would say 1/4 I believe.

When I divided 5/6, I got .8333333333 then I divided 2/3, and I got .6666666667 so I would say 5/6 I believe.

I definitely hope this helps you, I tried my best! XO
6 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!
borishaifa [10]
A is the correct answer
(to find diagonal of a square , you can get help from Pythagorean Theorem)

{10}^{2}  + 10 {}^{2}  =  {x}^{2}  \\ 100 + 100 =  {x}^{2}  \\  {x}^{2}  = 200 \\ x =  \sqrt{200}




good luck
5 0
4 years ago
The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.
vfiekz [6]

Answer:

Minimum surface area =70.77 cm^2

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container=54 cm^3

We have to find the minimum surface areas that this container will have.

Volume of container=l\times b\times h

x\times 2x\times h=54

2x^2h=54

h=\frac{54}{2x^2}=\frac{27}{x^2}

Surface area of container=2(b+l)h+lb

Because the container does not have lid

Surface area of container=S=2(2x+x)\times \frac{27}{x^2}+2x\times x

S=\frac{162}{x}+2x^2

Differentiate w.r.t x

\frac{dS}{dx}=-\frac{162}{x^2}+4x

\frac{dx^n}{dx}=nx^{n-1}

Substitute \frac{dS}{dx}=0

-\frac{162}{x^2}+4x=0

4x=\frac{162}{x^2}

x^3=\frac{162}{4}=40.5

x^3=40.5

x=(40.5)^{\frac{1}{3}}

x=3.4

Again differentiate w.r.t x

\frac{d^2S}{dx^2}=\frac{324}{x^3}+4

Substitute x=3.4

\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area =\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2

8 0
3 years ago
Find the angle θ, in radians, in the second quadrant whose tangent is -2.
ololo11 [35]

In order to find the angle  θ, in <u>radians</u>,  whose<u> tangent</u> is -2  you have to follow those steps

Step 1

Using a<u> calculator</u>

Find the angle  θ

Angle=arc\ tan(-2)= -63.43\°

Remember that

the angle θ belong to the second quadrant

so

Angle θ=180\°-63.43\°=116.57\°

Step 2

Convert degrees to <u>radians</u>

we know that

\pi\ radians=180\°

116.57\°=116.57\°*\pi/180\°=0.648\pi\ radians

therefore

the answer is

the angle θ is 0.648\pi\ radians


4 0
4 years ago
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