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oee [108]
3 years ago
11

Please answer fast!!!!!

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

note that 4096 = 8^{4} , then

8^{2x} = 8^{4}

Since bases on both sides are equal, both 8 , then equate the exponents

2x = 4 ( divide both sides by 2 )

x = 2

marishachu [46]3 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

8^{2x} = 4096

Step 1 :- Write 4096 in the exponential form with the base of 8.

8^{2x} = 8^4

Step 2 :- Since the base of both equation is same , set the exponents equal.

2x = 4

Step 3 :- Divide both side by 2

{2x}{2} = \frac{4 }{2}

x = 2

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3 years ago
Write an equation in Slope-Intercept Form using the table below. ​
Veseljchak [2.6K]

Answer:

y = x + 46

Step-by-step explanation:

When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, choose two pairs of coordinates to use for solving the slope of the line:

Let (x1, y1) = (0, 46)

(x2, y2) =  (1, 47)

User the following formula for slope

m = \frac{y2 - y1}{x2 - x1}

Plug in the values of the coordinates into the formula:m = \frac{y2 - y1}{x2 - x1} = \frac{47 - 46}{1 - 0} = \frac{1}{1} = 1

Therefore, the slope (m) = 1.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.

Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:

y = x + 46

Please mark my answers as the Brainliest if you find my explanations helpful :)

8 0
3 years ago
Order from least to greatest v/79, 8.7, 26/3, 8.83
Ganezh [65]
In order from least to greatest is 8.7, 8.83, 26/3, 79
5 0
2 years ago
What is the length of the hypotenuse
Vera_Pavlovna [14]

Answer:

c=45

Step-by-step explanation:

36^2+27^2=c2

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2095=c2

Then square root it to get

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7 0
3 years ago
Read 2 more answers
Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number
Agata [3.3K]

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

∴ 2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

∴ x = 27

The number is 27

6 0
3 years ago
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