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andriy [413]
3 years ago
6

Find the length of side x in simplest radical form with rational denominator. the short leg is root 2 and the long leg is x we d

on't know the hypotenuse.
Mathematics
1 answer:
kirill115 [55]3 years ago
5 0

Answer:

√2 + x

Step-by-step explanation:

To obtain the hypotenus, h:

Using Pythagoras rule :

h² = opposite² + Adjacent²

Opposite = √2

Adjacent= x

h² = (√2)² + x²

Take the square root of both sides

h = √2 + x

Hence, the hypotenus is √2 + x

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Help pls. This is proportional relationships in a graph?
madam [21]

Answer:

Yes, this is proportional, if that's what your asking.

Step-by-step explanation:

3 0
2 years ago
Select the correct answer.
andrew-mc [135]

The prediction for average temperature is 53.06° F

Given: The equation for line of best fit:

y = -3.32x + 97.05

What is line of best fit?

Line of best fit is the line that is drawn through the points and it minimizes the error between the actual data and the predicted data.

In a regression graph, there are many scattered points and it becomes very difficult to predict a general equal if we focus on the coordinates and relations of each points. The line of best fit, is a line that passes through the center or from a position where the error between the point and the line is the minimum and it becomes easy to predict or a derive an equation or a relation.

What is a response variable?

A response variable is a variable that is dependent on one or more independent or dependent variables for it's value. So let's say in this equation y = mx + c, y is the response variable as on the change of variable x , y will have different values that is y will response differently for different values of x. Hence y is the dependent variable.

What is predictor variable?

A predictor variable is a variable that is independent of the influence from any other variable, and a change in this variable will give different outcomes. It is called predictor because or a change in it's value we can predict an outcome.

Let's solve the question that is given:

Now y is the response variable and x is the predictor variable.

From the given graph, we see

x = inches of rain

y = average temperature

To make the prediction for x = 13.25, we place the value of x in the equation of line of best fit, that is:

y(13.25) = -3.32*13.25 + 97.05 = 53.06

Hence our prediction or the response for average temperature is 53.06° F

Know more on "line of best fit" here: brainly.com/question/14279419

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4 0
1 year ago
I need help please. Trying to get my HS diploma. I did not graduate :(
grigory [225]

The graph of f(x) + 1 is the graph in the option C.

<h3>Which is the graph of f(x) + 1?</h3>

For a given function f(x), a vertical translation is written as:

g(x) = f(x) + N

  • If N > 0, then the translation is upwards.
  • If N < 0, then the translation is downwards.

Here we have g(x) = f(x) + 1, so we have a translation of 1 unit upwards, the graph of f(x) + 1 is the graph of f(x) but translated one unit upwards.

From that, we conclude that the correct option is C.

If you want to learn more about translations:

brainly.com/question/24850937

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3 0
2 years ago
Rolling a Red and Yellow Dice
grandymaker [24]

Answer:

Option C 5/12 is correct option

Step-by-step explanation:

We have to find the probability that shows yellow dice has a larger value than the red dice.

Probability= total no of favorable outcomes / total no of outcomes

in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die

(1,2) (1,3) (1,4) (1,5) (1,6)

     (2,3) (2,4) (2,5) (2,6)

              (3,4) (3,5) (3,6)

                       (4,5) (4,6)

                                (5,6)

These are the possibilities where yellow die has greater value than red die.

total no of favorable outcomes = 15

total no of outcomes = 36

probability that yellow die has greater value than red die = 15 / 36

                                                                                                = 5/ 12

Option C 5/12 is correct option

3 0
2 years ago
The definition of theorem? <br>​
charle [14.2K]

Answer:

In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system. As a result, the proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific law, which is experimental.

Step-by-step explanation:

5 0
3 years ago
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