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2 years ago

8^x=2 write down the value of x

Mathematics

1 answer:

e-lub [12.9K]2 years ago

4 0

Answer:

x = $\frac{1}{3}$

Step-by-step explanation:

Using the rule of exponents

$a^m^{n}$ = $a^{mn}$

Note that 8 = 2³ and 2 = $2^{1}$ , then

$(2^3)^{x}$ = $2^{1}$ , that is

$2^{3x}$ = $2^{1}$

Since the bases on both sides are equal, equate the exponents

3x = 1 ( divide both sides by 3 )

x = $\frac{1}{3}$

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A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH

Burka [1]

Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : <u>rotation -90° and translation (0,2)</u>

<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

There are 2 shapes of geometry:

Similar figures:

the same shape but different in size,

Congruent figures:

the same size and the same shape

Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other

A sequence of two transformations e can do is :

1. rotation -90°

Let point H(4,1) from polygon GFJIH , we rotate -90°

$\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]$

2. translation (0,2)

$\left[\begin{array}{ccc}8\\1\end{array}\right]+\left[\begin{array}{ccc}0\\2\end{array}\right]=\left[\begin{array}{ccc}8\\3\end{array}\right]$

<h3 /><h3>Learn more</h3>

brainly.com/question/13715226

Keywords: transformation, translation, rotation

#LearnWithBrainly

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2 years ago

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Natalie made two statues of a giraffe the first measures 16 feet tall and the second measures 6 inches tall what is the differen

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First you would have to convert , so 12 inches = 1 foot . So do 12 X 16= 192inches, then subtract 192-6=186inches should be the difference IN INCHES. If you need it in feet divide 186 by 12 which should give you 15.5feet

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2 years ago

PLEASE HELPP!! Round each mixed number to the nearest whole number. Then, estimate the sum.

mylen [45]

Answer:

Step-by-step explanation: 14 11/12 rounds up to 15 and 3 1/6 is closer to 3 so the answer would be 18

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2 years ago

The function f(x) is given by the set of ordered pairs.

Lana71 [14]

The equation that is true and one that matches the set of ordered pairs of functions is option C. f (0) = 6

<h3>What is the equation about?</h3>

Note that a function can be made to be a given set of ordered pairs such as the ordered pairs (2,4), (3,5), (4,6) can have input functions of (as domain) 2,3,4 and output functions of (as range) of 4,5,6.

So when you see the ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2, –1)} one can see that the option that matches to the set of ordered pairs of functions above is f (0) = 6 value x = 0, f (x) = y = 6, ordered pairs (0.6)

See full question below

The function f (x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2, –1)}:Which equation is true?

f(-10)=1

f(2)=-10

f(0)=6

f(1)=-10

The answer choices are :

f (-10) = 1 values x = -10, f (x) = y = 1, ordered pairs (-10,1)

f (2) = - 10 values x = 2, f (x) = y = -10, ordered pairs (2, -10)

f (0) = 6 value x = 0, f (x) = y = 6, ordered pairs (0.6)

f (1) = - 10 values x = 1, f (x) = y = -10, ordered pairs (1, -10)

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3SPJ1

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1 year ago

A pasta factory made 699.2 pounds of pasta in 8 minutes. How much pasta,on average, did the factory make each minute?

lozanna [386]

Answer:

87.4

Step-by-step explanation:

699.2/8=87.4

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2 years ago

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