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Rasek [7]
3 years ago
12

Is the square root of 400 rational or irrational

Mathematics
2 answers:
STatiana [176]3 years ago
6 0

Rational number, because the Square root of 400 is 20, since 20 x itself is 400. Hope this helps!

Alex_Xolod [135]3 years ago
3 0

The square root of 400 is rational because the product is 20 which is a whole number making it a rational number

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Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter
andreev551 [17]

Answer:

Step-by-step explanation:

In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.

It should be clear that

tan(sin^{-1} x/4) = x/\sqrt{16-x^{2} }

sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }

sin(2α) = 2 sinα cosα

So,

1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})

See what you can do with the others.

6 0
3 years ago
Translated 2 units right
melisa1 [442]

Answer:

yes

Step-by-step explanation:

3 0
3 years ago
System of equations with different slopes and different y-intercepts have one solution.
Pavlova-9 [17]
The answer is :
<span>A. Always


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<span>If two equations have different slopes but equivalent y-intercepts, they will have one solution and that will be the point where the y-intercept is. If two equations have different slopes and different y-intercepts, then there will be one solution where those two lines meet. If two equations have the same slope but different y-intercepts, the lines will be parallel, and there is no possible intersection point. And if two equations have equal slopes and equal y-intercepts, these lines will have an infinite amount of solutions, because if the equations are one the same line, every single point on that line is a solution to the system. </span>
7 0
3 years ago
Read 2 more answers
A negative number divided by a positive number have to equal 7
Andrei [34K]

Answer:

-49 divided by 7

Step-by-step explanation:

-49 ÷ 7

= <u>-</u><u>7</u>

3 0
2 years ago
Read 2 more answers
27^x −1 = 9^3x−7 what is X
tigry1 [53]

x is \frac{11}{3}

Step-by-step explanation:

Let us revise some rules of exponents

  • (a^{n})(a^{n})=a^{m+n}
  • \frac{a^{m}}{a^{n}}=a^{m-n}
  • (a^{m})^{n}=a^{mn}
  • a^{m}=a^{n} , then m = n

∵ 27^{x-1}=9^{3x-7}

- Factorize 27 and 9

∵ 27 = 3 × 3 × 3

∴ 27 = 3³

∵ 9 = 3 × 3

∴ 9 = 3²

Substitute them in the equation

∴ (3^{3})^{x-1}=(3^{2})^{3x-7}

- Use the third rule to simplify each side

∴ (3)^{3x-3}=(3)^{6x-14}

- Use the fourth rule

∵ The bases of the two sides are equal

∴ Their exponents are equal

∴ 3x - 3 = 6x - 14

- Subtract 6x from both sides

∴ -3x - 3 = -14

- Add 3 to both sides

∴ -3x = -11

Divide both sides by -3

∴ x = \frac{11}{3}

x is \frac{11}{3}

Learn more:

You can learn more about equations in brainly.com/question/4934417

#LearnwithBrainly

3 0
3 years ago
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