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3 years ago

How do you simplify 2/(square root 2 + square root 2)

Mathematics

2 answers:

larisa [96]3 years ago

7 0

Note that √2 + √2 = 2√2

2/(2√2) = (√2)/2 = 0.707 (simplified)

0.707 is your answer

sweet [91]3 years ago

4 0

2(√2+√2)=2/(2√2)=1/(√2)≈0.707106781

You answer is 0.707106781 (Round to whatever number of decimals needed).

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If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as t

dem82 [27]

Answer:

Inverse of a function

Step-by-step explanation:

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.

For example, given the following function:

y = 2x

If x=0 → y= 0

If x=1 → y= 2

If x=2 → y= 4

Now, if we find the inverse of the function:

y = 2x → x = 2y → y = x/2

Now:

If x=0 → y= 0

If x=2 → y= 1

If x=4 → y= 2

Comparing both cases, you will notice that the ordered pairs are effectively interchanged.

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3 years ago

A survey of 2645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a comp

Andre45 [30]

Answer:look it up

Step-by-step explanation:

5 0

3 years ago

Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1

Margaret [11]

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

$(x - a)^2 + (y - b)^2 = R^2$

Here we are given the equation:

$x^2 + y^2 + 10x - 1 = 0$

Completing squares, we get:

$x^2 + 10x + y^2 = 1$

Now we can add and subtract 25 to get:

$x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26$

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

If you want to learn more about circles:

brainly.com/question/1559324

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2 years ago

emily drives home from work in 30 minutes driving 60 miles per hour. If Emily need to get home 10 minutes earlier, how fast does

AlladinOne [14]

The correct answer is 90 miles per hour

Explanation:

The first step to know how fast Emily needs to drive to get 10 minutes earlier is to determine the distance from her work to her home. This can be calculated by using the information provided (speed and time). The process is shown below:

speed = distance ÷ time

distance = speed x time

distance = 60 miles per hour x 0.5 (30 minutes represent 0.5 hours)

distance= 30 miles

Now, using the same formula let's calculate the speed for 20 minutes (30 minutes - 10 minutes earlier = 20 minutes)

speed = distance ÷ time

speed = 30 miles ÷ 0.333 (20 minutes represents 0.333 hours as 20 minutes is 1/3 of an hour)

speed= 90 miles per hour

8 0

3 years ago

100 BRAINLY POINTS!!!

BARSIC [14]

Answer:

C) $y=-0.5x+8$

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation: $y=mx+b$

(where $m$ is the slope and $b$ is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8. So this suggests that options C or D are the solution.

We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).

Therefore, C is the solution, and the closet approximation to the line of best fit is $y=-0.5x+8$

4 0

2 years ago