3 years ago

What is the solution to 4+5eX+2 = 11?

Mathematics

1 answer:

Tom [10]3 years ago

3 0

Answer:

Step-by-step explanation:

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The small rectangle has been dilated to form the large one.

kumpel [21]

Answer:

Step-by-step explanation:

The answer is 10.0

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3 years ago

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:

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

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3 years ago

A city has 3 new houses for every 9 old houses. If there are 15 new houses in the city, how many old houses are there?

Arisa [49]

Answer:

45 old houses

Step-by-step explanation:

new houses : old houses

3 : 9

15 : ?

(3 = 1st ratio and 9 = 2nd ratio)

To find the missing ratio, divide the first ratio from the new ratio:

15 / 3 = 5

Take the product and multiply that by the second ratio to find the missing ratio:

9 x 5 = 45

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2 years ago

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jenyasd209 [6]

Answer:

12 gallons 2 quarts

Step-by-step explanation:

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3 years ago

Which polynomial represents the sum below? 8x^2+2x+8 + 3x^3+7x+4

valkas [14]

Answer:

$26 \times21 \frac = 1 > 262 {2}^{2} {?}{?}$

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3 years ago