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3 years ago

Name the property illustrated be each statement. (3x+2)-5=(3x+2)-5

1 answer:

8 0

The associative property states that we can add numbers in any way we want to still get the same sum, so the parenthesis here can essentially be tossed out to get 3x+2-5=3x-3. However, make sure, for example, that you don't add x and 1 together in 3(x)+1 as you still have to multiply the x with 3 before adding the 1 according to PEMDAS

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Karina is 15. Her brother, Hector, is less than half her age. Write an inequality about Hector's age

Ugo [173]

hector is 7 and a half

because 7 plus 7 is 14 buy 7.50 plus 7.50 is 15

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3 years ago

Im being timed so please help-

Delvig [45]

Answer:

2 and 4 I am pretty sure. hopeful that's correct.

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3 years ago

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

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3 years ago

Read 2 more answers

Factor tree<br>67344 using prime numbers

Aleksandr-060686 [28]

Answer:

$2^4*3*23*61$

Step-by-step explanation:

$\begin{array}{c|c}67344&2\\33672&2\\16836&2\\8418&2\\4209&3\\1403&23\\61&61\\1&\\\end{array}$

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3 years ago

What is the square root of 864

skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$

Take any number that is repeated twice in the square root, and move it outside of the root:

$\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}$

$\sqrt{2 \cdot 2} = \sqrt{4} = 2$

$\sqrt{3 \cdot 3} = \sqrt{9} = 3$

$\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}$

$\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

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3 years ago