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ValentinkaMS [17]
3 years ago
6

She has one board that is 2 m 3 cm long and another that is 2 m 98 cm long. How long are the two boards together in meters?

Mathematics
1 answer:
miss Akunina [59]3 years ago
4 0

Answer:

5 meters and 1 cm

Step-by-step explanation:

well their are 100 cm in 1 meter

so add 2m and 3 cm to 2 m and 98 cm

to get 4 m and 101 cm what is 5 meters and 1 cm

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

3 0
3 years ago
F(x)=2x+3, and g(x)=4x-2. what is f(x)+g(x)
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g

(

x

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(

4

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7

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2

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2

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350

x

−

14

x

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125

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10

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3

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(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

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The answer is  

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

+

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.

Step-by-step explanation:

8 0
2 years ago
it cost $45 to produce 2 calculators and $143 to produce 4 and $869 to produce 10 how much does it cost to produce 7 calculators
erica [24]

Answer:

210.50

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4 0
3 years ago
1 2/3*J=15 What is J?
Wewaii [24]

Answer:

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j = 15 * (3/5)

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5 0
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