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4 years ago

What is the property the statement illustrates7•m=m•7?

Mathematics

2 answers:

GalinKa [24]4 years ago

8 0

Commutative property

a · b = b · a

7 • m = m • 7

marishachu [46]4 years ago

7 0

That would be the commutative property

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Who knows how to do this ughhh I need help!

suter [353]

Answer:

$\large\boxed{\sqrt{56x^{17}}=2x^8\sqrt{14x}}$

Step-by-step explanation:

$Domain:\ x\geq0\\\\\sqrt{56x^{17}}=\sqrt{4\cdot14\cdot x^{16+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{4\cdot14\cdot x^{16}\cdot x^1}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt{14}\cdot\sqrt{x^{16}}\cdot\sqrt{x}=2\cdot\sqrt{14}\cdot\sqrt{x^{8\cdot2}}\cdot\sqrt{x}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=2\cdot\sqrt{14}\cdot\sqrt{(x^8)^2}\cdot\sqrt{x}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2\cdot\sqrt{14}\cdot x^8\cdot\sqrt{x}=2x^8\sqrt{14x}$

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3 years ago

The function f is defined by f(x)=x^2-5 find f(2y)

Anuta_ua [19.1K]

$\bf f(x)=x^2-5\qquad \qquad f(2y)=(2y)^2-5\implies f(2y)(2^2y^2)-5
\\\\\\
f(2y)=4y^2-5$

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3 years ago

Find the amount of time in years. I=$100, P=$200, r=10%

lara31 [8.8K]

Answer:

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3 years ago

1300 error interval to 2dp

Degger [83]

Answer:

Huh

Step-by-step explanation:

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3 years ago

Find the total surface area of this triangular prism. 17 cm 8 cm 2 cm 15 cm

kumpel [21]

Answer:

200cm²

Step-by-step explanation:

Total surface area of the prism = bh + L(s1+s2+s3)

b is the base of the triangle = 15cm

h is the height of the triangle = 8cm

Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15

Perimeter of the triangular base = 40cm

L is the lateral height = 2cm

Substitute the given values into the formula;

Total surface area of the prism = 15(8) + 2(40)

Total surface area of the prism = 120+80

Total surface area of the prism = 200cm²

Hence the total surface area of the prism is 200cm²

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3 years ago