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3 years ago

Simplify 12 to the 16th power over 12 to the 4th power. 1212 124 112 14

Mathematics

2 answers:

EastWind [94]3 years ago

6 0

Answer:

$12^{12}$

Step-by-step explanation:

Law Incorporation [45]3 years ago

4 0

Greetings from Brasil...

Here's our problem:

$\large{\frac{12^{16}}{12^{4}}}$

From potentiation properties:

Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ

division of power of the same base: I repeat the base and subtract the exponents

Bringing to our problem

12¹⁶ ÷ 12⁴

12¹⁶⁻⁴

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The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}$

$EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}$

$FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}$

$DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}$

Slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of DE,

$m_1=\frac{4-5}{2+2}= \frac{-1}{4}$

Slope of EF,

$m_2=\frac{0-4}{0-2}= 2$

Slope of FG,

$m_3=\frac{1-0}{-4-0}= \frac{-1}{4}$

Slope of DG,

$m_4=\frac{1-5}{-4+2}= 2$

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0

3 years ago

Read 2 more answers

En una reunión de 40 viejos piratas, 1/5 tenían una pata de palo y los 3/4 de ellos habían navegado en El Corsario. ¿Cuántos pir

Serga [27]

Answer:

spanish

Step-by-step explanation:

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3 years ago

A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.

denis23 [38]

Area of a square = side^2
area = 6.25^2 = 39.0625 square feet

= 39.06 (rounded)

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2 years ago

Can someone please help with this problem and explain. Please answer quickly, thx :) (picture included)

Anna007 [38]

Exponential laws
$(x^{m})^{n}=x^{mn}$
$x^{\frac{m}{n}}=\sqrt[n]{x^{m}}$

so
(m^(2/3))^(1/2)=m^(2/3 times 1/2)=m^(2/6)=m^(1/3)= $\sqrt[3]{m^{1}}$ = $\sqrt[3]{m}$

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3 years ago

Solve the equation (y-10)^2=0

Dvinal [7]

Answer:

y=10

Step-by-step explanation:

(y-10)^2=0

Take the square root of each side

sqrt((y-10)^2)=sqrt(0)

y-10 =0

Add 10 to each side

y-10+10=0+10

y = 10

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3 years ago

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