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insens350 [35]
3 years ago
12

Simplify square root 3 (square root 6+square root 15)

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

Answer: 6+eaqr²su

Step-by-step explanation: If a term doesn't have an exponent, it is considered that the exponent is 1. So, use 1 as your exponent. Next, multiply the terms with the same base by adding their exponents. Then, add the numbers. Use the commutative property to reorder the terms. Your answer should be 6+eaqr²su.

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Can you please help?
Liula [17]

Answer:

\huge\boxed{3.873}

Step-by-step explanation:

Note that the squares are on the sides of these triangles are on the hypotenuse/one leg.

We know that the area of a square is l^2 where l is the length. Since we know the area, we can find the square root of the area to find the side length.

So the side lengths are \sqrt{25} and \sqrt{10}.

Since we know the hypotenuse is \sqrt{25} and one of the legs is \sqrt{10}, we can use the Pythagorean Theorem to find the missing side.

The Pythagorean Theorem states that a^2 + b^2 = c^2, where c is the hypotenuse and a/b are the legs.

We know the <em>hypotenuse </em>and <em>a leg</em>, so we can substitute inside

a^2 + \sqrt{10}^2 = \sqrt{25}^2

Squaring a square root is the same as doing nothing.

a^2 + 10 = 25\\\\a^2 = 25-10\\\\a^2 = 15\\\\a = \sqrt{15}\\\\a \approx 3.873

Hope this helped!

7 0
3 years ago
Suppose that the functions h and f are defined as follows. h(x) =3/x, x notequalto 0 f(x) = x^2 - 1 Find the compositions h comp
Klio2033 [76]

Answer:

hf(x) = 3/(x² - 1)

fh(x) = (9 - x²)/x²

Step-by-step explanation:

h(x) = 3/x

f(x) = x² - 1

h(f(x)) = 3/f(x)

hf(x) = 3/(x² - 1)

f(h(x)) = (h(x))² - 1

= (3/x)² - 1

= 9/x² - 1

fh(x) = (9 - x²)/x²

4 0
3 years ago
The question is in the picture
PtichkaEL [24]

Answer:

16

Step-by-step explanation:

18,903

3 0
2 years ago
Mary earns $7.25 an hour. She can determine her salary, s, for the number of hours she works, h, by using the equation s = 7.25h
photoshop1234 [79]

Answer:

See the explanation bellow

Step-by-step explanation:

Given data

We are told that Mary earns $7.25 an hour

The function for her salary is s = 7.25h

<em>s is a function of h because h is the time, and s a dependent variable on the time, the longer she works the more money she makes</em>

6 0
2 years ago
A factory produced 150 tons of steel in one year. The next year, the output increased to 180 tons. What is the percentage increa
nirvana33 [79]
The amount of increase is  (180 - 150)  =  30 tons.

The increase as a part of the original amount is  30/150  =  0.2

To change a decimal into a percent,
move the decimal point 2 places that way  ===> .

                     0.2  =  20%
4 0
3 years ago
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