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3 years ago

Find the value of x and if necessary, express answer in simplest radical form.

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

8 0

Writing and solving an equation of ratios is the way to go here. See if you can figure out why the following is correct:

x+3 x
----- = -------
12 x+3

Then (x+3)^2 = 12x, and x^2 + 6x + 9 = 12x, so that x^2 - 6x + 9 = 0

This is the square of (x - 3). Thus, x-3 = 0, and x = 3.

The value of x is 3.

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Which expressionism equivalent to -60 / 5 select all that apply 60 divided by negitive 5 60 times 1/5 60 times negitive 1/5 Negi

GaryK [48]

Answer:

Equivalent expressions

A) $\frac{60}{-5}$

C) $60\times (-\frac{1}{5})$

Step-by-step explanation:

Given expression :

$\frac{-60}{5}$

Choices given :

A) $\frac{60}{-5}$

B) $60\times \frac{1}{5}$

C) $60\times (-\frac{1}{5})$

D) $-60\times (-\frac{1}{5})$

To find the equivalent expression.

We will first evaluate the given expression.

$\frac{-60}{5}$

⇒ $-12$ [Quotient of a negative dividend and a positive divisor is always negative]

Evaluating each choice to select the equivalents.

A) $\frac{60}{-5}$

⇒ $-12$ [Quotient of a positive dividend and a negative divisor is always negative]

B) $60\times \frac{1}{5}$

⇒ $\frac{60}{5}$

⇒ $12$

C) $60\times (-\frac{1}{5})$

⇒ $-\frac{60}{5}$ [Product of a positive and a negative is always a negative]

⇒ $-12$

D) $-60\times (-\frac{1}{5})$

⇒ $\frac{60}{5}$ [Product of two negatives is always a positive]

⇒ $12$

∴ We see that the choices A and C are equivalent.

7 0

3 years ago

Solve for x rounding to the nearest hundredth will give to brainlest!!!

Verizon [17]

Answer:

Exact Form:

64/21e

Decimal Form:

1.12115639

Step-by-step explanation:

8 0

2 years ago

Simplify (6^2)(3^3)(3*6)^4

kherson [118]

Answer:

102036672.............

4 0

3 years ago

write an expression that has a value of 100 and follows these restrictions. (1) uses each of the four operations at most once. (

posledela

33 * 3 + 3/3 = 100

I do not believe u have to use all of the operations because it says " at most once ".

5 0

3 years ago

Read 2 more answers

How are radicals and rational exponents related?

icang [17]

Answer:

Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

8 0

3 years ago