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3 years ago

What is the value of x? 1/2x+2=x-1/4

Mathematics

2 answers:

Debora [2.8K]3 years ago

8 0

Answer: the value of "x" is 4

a_sh-v [17]3 years ago

6 0

Answer:

x is 9/2

Step-by-step explanation:

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Please assist me in the geometry please !!!!

deff fn [24]

Answer:

Solution given:

length of cube[a]=6ft

volume of cube =a³=6³=216ft³

again

For cylinder

d=4ft

r=2ft

h=6ft

volume of cylinder=πr²h=π×2²×6=75.4ft³

Now

remaining volume=216-75.4=<u>140.6ft³</u>

is a required answer.

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2 years ago

Solve irrational equation pls

rusak2 [61]

$\hbox{Domain:}\\
x^2+x-2\geq0 \wedge x^2-4x+3\geq0 \wedge x^2-1\geq0\\
x^2-x+2x-2\geq0 \wedge x^2-x-3x+3\geq0 \wedge x^2\geq1\\
x(x-1)+2(x-1)\geq 0 \wedge x(x-1)-3(x-1)\geq0 \wedge (x\geq 1 \vee x\leq-1)\\
(x+2)(x-1)\geq0 \wedge (x-3)(x-1)\geq0\wedge x\in(-\infty,-1\rangle\cup\langle1,\infty)\\
x\in(-\infty,-2\rangle\cup\langle1,\infty) \wedge x\in(-\infty,1\rangle \cup\langle3,\infty) \wedge x\in(-\infty,-1\rangle\cup\langle1,\infty)\\
x\in(-\infty,-2\rangle\cup\langle3,\infty)$

$
\sqrt{x^2+x-2}+\sqrt{x^2-4x+3}=\sqrt{x^2-1}\\
x^2-1=x^2+x-2+2\sqrt{(x^2+x-2)(x^2-4x+3)}+x^2-4x+3\\
2\sqrt{(x^2+x-2)(x^2-4x+3)}=-x^2+3x-2\\
\sqrt{(x^2+x-2)(x^2-4x+3)}=\dfrac{-x^2+3x-2}{2}\\
(x^2+x-2)(x^2-4x+3)=\left(\dfrac{-x^2+3x-2}{2}\right)^2\\
(x+2)(x-1)(x-3)(x-1)=\left(\dfrac{-x^2+x+2x-2}{2}\right)^2\\
(x+2)(x-3)(x-1)^2=\left(\dfrac{-x(x-1)+2(x-1)}{2}\right)^2\\
(x+2)(x-3)(x-1)^2=\left(\dfrac{-(x-2)(x-1)}{2}\right)^2\\
(x+2)(x-3)(x-1)^2=\dfrac{(x-2)^2(x-1)^2}{4}\\
4(x+2)(x-3)(x-1)^2=(x-2)^2(x-1)^2\\$
$
4(x+2)(x-3)(x-1)^2-(x-2)^2(x-1)^2=0\\
(x-1)^2(4(x+2)(x-3)-(x-2)^2)=0\\
(x-1)^2(4(x^2-3x+2x-6)-(x^2-4x+4))=0\\
(x-1)^2(4x^2-4x-24-x^2+4x-4)=0\\
(x-1)^2(3x^2-28)=0\\
x-1=0 \vee 3x^2-28=0\\
x=1 \vee 3x^2=28\\
x=1 \vee x^2=\dfrac{28}{3}\\
x=1 \vee x=\sqrt{\dfrac{28}{3}} \vee x=-\sqrt{\dfrac{28}{3}}\\$

There's one more condition I forgot about
$-(x-2)(x-1)\geq0\\
x\in\langle1,2\rangle\\$

Finally
$x\in(-\infty,-2\rangle\cup\langle3,\infty) \wedge x\in\langle1,2\rangle \wedge x=\{1,\sqrt{\dfrac{28}{3}}, -\sqrt{\dfrac{28}{3}}\}\\
\boxed{\boxed{x=1}}$

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2 years ago

HELP PLEASE FOR BRAINLIST!!!!!!!!!!!!

Sindrei [870]

Answer:

a(x) and d(x)

hope that helps, have a good day!

dont forget my brainliest.

Step-by-step explanation:

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2 years ago

How many meters does 20 yards equal

Yuliya22 [10]

Answer:

Step-by-step explanation:One yard equals 0.9144 meter. Therefore 20 yards = 20 * 0.9144 = 18.288 meters

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2 years ago

Marissa rode her bike to the oark and back home. She lives 2 3/10 miles from the park . How many miles did Marissa ride her bike

Oduvanchick [21]

will she would have rode 4 3/5 miles in all.

2 3/10+2 3/10=4 3/5

that is 2 3/10 there and 2 3/10 back so you would add that together.

MILES IN ALL 4 3/5

Hope this helps

3 0

2 years ago