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4 years ago

Please help me solve this and show the steps

Mathematics

2 answers:

Artist 52 [7]4 years ago

6 0

9x^3 - 4x = -18x^2 + 8
9x^3 + 18x^2 - 4x- 8 = 0
9x^2(x +2 )- 4(x + 2) = 0
(x+2)(9x^2 - 4) = 0
(x + 2)(3x + 2)(3x - 2) = 0
x + 2 = 0; x = -2
3x + 2 = 0; x = -2/3
3x - 2 = 0; x = 2/3

kozerog [31]4 years ago

5 0

9x^3 + 18x^2 -4x -8
Split the equation into 9x^3 + 18x^2 and -4x -8, then factor
9x^2 (x + 2) -4(x + 2)
So the factors are (9x^2 - 4) and (x + 2)
So X is either equal to -2 or +/- 2/3

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An airplane is 275 miles from the airport to get to it present position the plane flew 125 miles due south from the airport and

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Step-by-step explanation:

We can view the starting and ending flight points as the hypotenuse of a right-angle triangle. Since the plane flew 125 miles south, the height of the triangle is 125 and we are given the hypotenuse as 275

If we designate the height as a and the hypotenuse as h, and the base as b then
h² = a² + b² by the Pythagorean theorem

b² = h² - a² ==> (h + a)(h - a) {x² - y² = (x + y) (x -y)}

Substituting known values
b² = 275² - 125² = (275 + 125)(275-125) = 400 x 150 = 60,000

b = √60000 = 244.94 and the closest answer is C: 245 miles

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<img src="https://tex.z-dn.net/?f=%20Simplify%3A%20%5C%3A%2018%20%5Cdiv%2016%20%2B%20%5B8%20%5C%7B16%20%5Cdiv%20%2810%20-%20%5Co

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<h3>Simplify :</h3>

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}$

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${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}$

Simplifying parentheses brackets

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}$

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${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \dfrac{16}{4} \bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \cancel{\dfrac{16}{4}} \bigg\} \bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}$

Simplifying square brackets 

${:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}$

${:\implies{\small{\sf{18 \div 16 + 32}}}}$

According to BODMAS rule simplifying devision 

${:\implies{\small{\sf{18 \div 16 + 32}}}}$

${:\implies{\small{\sf{ \dfrac{18}{16} + 32}}}}$

${:\implies{\small{\sf{{\cancel{\dfrac{18}{16}} + 32}}}}}$

${:\implies{\small{\sf{ 1.125 + 32}}}}$

Now, according to BODMAS rule simplifying addition

${:\implies{\small{\sf{ 1.125 + 32}}}}$

${:\implies{\small{\sf{33.125}}}}$

${:\implies{\underline{\boxed{\pmb{\sf{Answer = 33.125}}}}}}$

∴ The answer is 33.125.

 $\underline{\rule{200pt}{2.5pt}}$ 

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