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2 years ago

What does a rational number plus an irrational number equal?

Mathematics

1 answer:

galben [10]2 years ago

3 0

The sum must be irrational in contradiction to it being rational

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Please help me I’m stuck

Gre4nikov [31]

Answer:

$x = 3.7$

Step-by-step explanation:

We can find the side of the hypotenuse by applying pythagorean theorem.

${5}^{2} + {5}^{2} = {x}^{2}$

$25 + 25 = {x}^{2}$

$50 = {x}^{2}$

$x = 5 \sqrt{2}$

Now we can apply pythagorean theorem on the other triangle

$(5 \sqrt{2} ) {}^{2} + {x}^{2} = {8}^{2}$

$50 + {x}^{2} = 64$

${x}^{2} = 14$

$x = \sqrt{14}$

$x = 3.7$

4 0

2 years ago

Read 2 more answers

A dj is preparing a playlist of 21 songs. how many different ways can the dj arrange the first six songs on the playlist?

kirill115 [55]

Answer: The are 39,070,080 different ways the DJ can play the first 6 songs.

We will use the Fundamental Counting Principle to find the answer. Simply determine the number of choices for each position and multiply.

For the first choice there are 21 choices. Then, the number is reduced by 1 each time.

So to get the answer, we have to multiply the numbers below:

21 x 20 x 19 x 18 x 17 x 16

6 0

2 years ago

Which expression is equivalent to

rodikova [14]

Step-by-step explanation:

$\log_{12}\left(\dfrac{\frac{1}{2}}{8w}\right)=\log_{12}\left(\dfrac{1}{16w}\right)\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_{12}(16w)^{-1}\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-1\log_{12}(16w)\qquad\text{use}\ \log_a(bc)=\log_ab+\log_ac\\\\=-\left(\log_{12}16+\log_{12}w\right)=-\log_{12}2^4-\log_{12}w\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-4\log_{12}2-\log_{12}w$

8 0

2 years ago

The table shows Alice's age (a) and her daughter Martha's age (m). Complete the table and the equation.

Viefleur [7K]

Answer:

i think 48

Step-by-step explanation:

7 0

2 years ago

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HELP HELP HELP HELP HELP

Olin [163]

Answer:

3√5 or ≈ 6.71

Step-by-step explanation:

The Distance Formula is d = √((x2-x1)² + (y2-y1)²)

Given Points: (-3, 2) and (0, -4)

Points: (x1, y1) and (x2, y2)

Find the difference between coordinates:

(x2 - x1) = (0 - (-3)) = 3

(y2-y1) = (-4 - 2) = -6

Square the results and sum them up:

(3)² + (-6)² = 9 + 36 = 45

Now Find the square root and that's your result:

Exact solution: √45 = 3√5

Approximate solution: 6.7082

Learn more about the Distance Formula here: brainly.com/question/661229

4 0

1 year ago