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3 years ago

Is the square root of 2+1 greater or less than or equal to the square root of 2+2

Mathematics

1 answer:

goldenfox [79]3 years ago

5 0

Answer:

$\sqrt{2 + 1} < \sqrt{2 + 2}$

Step-by-step explanation:

$\sqrt{2 + 1} = \sqrt{3} = 1.73205...$

$\sqrt{2 + 2} = \sqrt{4} = 2$

Since $1.73205... < 2$ , then

$\sqrt{2 + 1} < \sqrt{2 + 2}$

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Are the expressions equivalent? 8(6f)=f(8.6)

s2008m [1.1K]

Answer: no

Step-by-step explanation: 48f does not equal 8.6f

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3 years ago

A vertical line contains the points 3,2 and 3,6 use these points and the formula for slope to explain why a vertical lines slope

Dahasolnce [82]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (3, 6)

m = $\frac{6-2}{3-3}$ = $\frac{4}{0}$

Since division by zero is undefined then the slope of the vertical line is undefined.

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3 years ago

Which relationship would most likely have a positive correlation?

tiny-mole [99]

Answer:

Step-by-step explanation:

The only thing to do here is just check all of the answers.

A makes no sense, as the number of keys on a keyboard doesn't affect the amount of memory in a computer at all (no correlation).

B makes a bit more sense, but it's still wrong. If a train travels faster, it gets places quicker, or the time goes down. If (If one goes up, the other goes down) is true, then you have negative correlation.

C makes the most sense, as if there's more people at a game, then those more people will probably buy more hot dogs. If (If one goes up, so does the other) is true, then you have positive correlation, which is what we want.

4 0

3 years ago

On a coordinate plane, 4 lines are shown. Line L M goes through (negative 5, negative 3) and (0, 3). Line N O goes through (nega

worty [1.4K]

Answer:

no pq

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Mark has 17 coins that are dimes and quarters. The total value of the coins is $2.45. How many dimes does mark have?

seropon [69]

Answer: 12 dimes and 5 quarters

Step-by-step explanation: Let's start this problem by setting up a chart so we can organize our information that we're given in this problem.

Down the left side, we'll have our different types of coins. In this case dimes and quarters. Across the top we'll have our formula which is shown below.

Number of coins · value of each coin = total value

Now let's fill out our chart.

For number of dimes and quarters, we know that mark has a total of 17 dimes and quarters but we don't know how many of each he has. In fact, that's what the problem is asking.

So if we represent our number of dimes as x, we can call our number of quarters 17 - x.

The value of each dime is 10¢ and the value of each quarter is 25¢.

Our total value based on our formula is going to come from the first column times the second column. So the total value of our dimes is x times 10 or 10x and the total value of our quarters is 17 - x times 25 or 25 (17 - x).

Our goal in this problem will be to find x because x represents our number of dimes and the problem asks how many dimes does he have. If we know the number of dimes, we can easily find the number of dimes and we'll have our answer. However, we need an equation in order to find x.

It's important to understand that he information in this equation will always come from the last column of your chart, the total value column. So what do we know about the total value of our dimes and the total value of our quarters?

Well we know that the total value of all of our coins is $2.45. So if we add the total value of our dimes + the total value of our quarters, that should equal $2.45. So below the chart I added an additional box and I put 245 in it. Notice that I wrote 245 in terms of cents because our value of dimes and value of quarters is also written in terms of cents and we need to be constient.

So here's our equation.

10x + 25 (17 - x) = 245.

If we solve this, we get x = 12.

Going back up into our chart, remember that x represents our number of dimes so Mark has 12 dimes. To get his number of quarters, we take 17 - x which is 17 - 12 or 5 quarters and that's our answer.

I have also attached the chart that I have made below.

7 0

3 years ago