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3 years ago

What is equivalent to the expression?

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

Answer:

1/16

Step-by-step explanation:

$(2^{2})^{-2} \\2^{2*(-2)} \\ 2^{-4} \\ \frac{1}{2^{4} } \\\frac{1}{16}$

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(2,5) and (0,1) in slope intercept form

ohaa [14]

y = 2x + 1 is the equation of line in slope intercept form

Solution:

Given that we have to write the slope intercept form

Let us first find the slope of line

The slope of line is given by formula:

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

Here the given points are (2, 5) and (0, 1)

$(x_1, y_1) = (2, 5)\\\\(x_2, y_2) = (0, 1)$

Substituting the values in formula,

$m = \frac{1-5}{0-2}\\\\m = \frac{-4}{-2}\\\\m = 2$

Thus slope of line is 2

The equation of line in slope intercept form is given as:

y = mx + c --------- eqn 1

Where, "m" is the slope and "c" is the y intercept

Substitute m = 2 and (x, y) = (0, 1) in eqn 1

1 = 2(0) + c

c = 1

Substitute c = 1 and m = 2 in eqn 1

y = 2x + 1

Thus the equation of line in slope intercept form is found

4 0

3 years ago

Please help fast! Thanks a lot

professor190 [17]

Answer:

92.5

Step-by-step explanation:

Lets say, first number = x

Second number = 3x+7

Total = 49

(x)+(3x+7)= 49

4x+7 = 49

4x = 42

x = 42/4

x= 10.5

3x+7 = 3(10.5)+7 = 92.5

Hope this helps!!

3 0

4 years ago

Assume that the numbers of a data set are arranged in ascending order. Which statement about the third quartile is true? All of

alexandr1967 [171]

75% of the numbers lie below or on the third quartile, and the remaining 25% lie on or above it.

5 0

3 years ago

Read 2 more answers

Harun and Anis have m boys and n girls. How many children do they have?

eimsori [14]

They have two children

7 0

3 years ago

Read 2 more answers

A set of equations is given below:

ANEK [815]

Just equate both to each other and you get:

x + 1 = y = 4x + 5

Leave out the y, and you get

x + 1 = 4x + 5

That was I believe your first option.

You can now work out x:

-3x = 4 => x = -4/3

8 0

4 years ago