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3 years ago

Find the value of x. 3521 3x-2

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Answer: 47

we have:

41° + 3x - 2 = 180°

⇔ 3x - 2 = 180 - 41

⇔ 3x - 2 = 139

⇔ 3x = 139 + 2

⇔ 3x = 141

⇔ x = 141/3

⇔ x = 47

Step-by-step explanation:

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What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y

Mumz [18]

Answer:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Step-by-step explanation:

The question is poorly formatted.

Given

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Required

Derive an equivalent expression

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Express 18 as 9 * 2

$\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}$

Split the expression as follows:

$\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}$

Take positive square root of 9

$\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}$

$\sqrt[3]{2y^3} * 21 * \sqrt{2y}$

$21*\sqrt[3]{2y^3} * \sqrt{2y}$

The cube root can be rewritten to give:

$21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}$

$\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y$

So, we have:

$21*\sqrt[3]{2} * y * \sqrt{2y}$

Rewrite as:

$21y *\sqrt[3]{2} * \sqrt{2y}$

Split $\sqrt{2y$

$21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}$

Collect Like Terms

$21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}$

Represent in index form

$21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}$

Apply law of indices

$21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }$

$21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}$

$21*y^{\frac{3}{2}} *2^{\frac{5}{6}}$

$21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Hence:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

6 0

3 years ago

6х + 4y + 2z = 32 3х - 3y - z = 19 3х + 2y + z = 32 x = ? y = ? z = ?

blsea [12.9K]

×=12

y=9

z=2 not sure I'm right

3 0

3 years ago

Find the x - and y- intercepts of the graphs of the linear equation 2x + 3y = 12

Mama L [17]

Answer:

Step-by-step explanation:

Move all terms that don't contain

to the right side and solve.

8 0

3 years ago

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Solve the logarithmic equation. y = log4 0.25 What does y equal?

Valentin [98]

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3 years ago

Write the equation of a circle with diameter endpoints of (-14,1) and (-10,9)

lara31 [8.8K]

Answer:

$(x+12)^2+(y-5)^2=80$

Step-by-step explanation:

First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is $\sqrt{4^2+8^2}=\sqrt{80}$ .

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3 years ago