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3 years ago

Replace ∗ with a monomial so that the derived equality will be an identity: (15y + ∗)^2 = 225y^2+12x^3y+0.16x^6

Mathematics

2 answers:

a_sh-v [17]3 years ago

8 0

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

a = 15y

2ab = 12x³y

2* 15y*b = 12x³y

$b=\frac{12*x^{3}*y}{2*15*y}\\\\b=\frac{2x^{3}}{5}\\\\b=0.4x^{3}$

(15y + 0.4x³)

Kitty [74]3 years ago

5 0

Answer:

Step-by-step

We have :

2×(0,4)×15=12

(0,4)^2=0,16

(15y + ∗)^2 = 225y² + 12x³y + 0.16x⁶

= (15y)² + 2×(15y)×(0.4x³) + (0.4x³)²

then

∗ = 0.4x³

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Answer:

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Step-by-step explanation:

Question

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?

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Length of the tent = 6 feet

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Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

$V=\frac{1}{2}\times l\times w\times h$

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Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.

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Simplifying.

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Dividing both sides by 12.

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vaieri [72.5K]

Answer:

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Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg

Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...

Occupation: Engraver, ‎inventor‎, and printer‎

Born: Johannes Gensfleisch zur Laden zum G...

Died: February 3, 1468 (aged about 68); Mainz‎, ...‎

Known for: The invention of the movable-type ...

‎Early life · ‎Printing method with... · ‎Legacy · ‎References