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Alexandra [31]
3 years ago
14

If (3a + 3b + 1) (3a + 3b - 1) = 80, then a + b =

Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:

a+b = 4\sqrt{3}

Step-by-step explanation:

3(a + b)^2 = 81

(a + b)^2 = 27

a + b = sq rt 27

a + b = \sqrt{9}· \sqrt{3}

a + b = 3\sqrt{3}

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Which sentence is the most accurate definition of an identity?
olga2289 [7]

The <em>correct answer</em> is:


An identity is an equation that is true for all real numbers.


Explanation:


An identity is a mathematical statement that is always true. It does not matter what numbers you substitute in for the variables, the result will be the same.

7 0
3 years ago
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Mr. Vectadore Is buying two new cowboy hat altogether the hats cost $75.12 the second half cost twice as much as what is the pri
andre [41]

Answer:

$50.08 

Step-by-step explanation:

We use x to represent the price of the cheapest hat. Since the more expensive hat is twice the price of the cheaper one, we use 2x to represent it. Therefore x + 2x, or 3x, equals $75.12. Divide 75.12 by 3 to find x, which is 25.04. The more expensive hat is 2x, so we must multiply 25.04 by 2 to find the price of the more expensive hat.

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3 years ago
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Which statement is true?
Alexandra [31]
Since p^2=p*p,
(p*p)^5 = p*p * p*p * p*p * p*p * p*p = p^10
6 0
3 years ago
Read 2 more answers
How do I solve this ?
timofeeve [1]

Answer:

\large\boxed{\{4,\ 7,\ 10\}}

Step-by-step explanation:

X\ \cup\ Y\\\text{The union of a collection of sets is the set of all elements in the collection.}\\\\X\ \cap\ Y\\\text{The intersection}\ X\cap Y\ \text{of two sets X and Y is the set that contains}\\\text{all elements of X that also belong to Y, but no other elements.}\\\\A'\\\text{When A is a subset of a given set U, the absolute complement A}\\\text{is the set of elements in U, but not in A.}

U=\{3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 10\}\\A=\{4,\ 6,\ 8\}\\B=\{3,\ 4,\ 7,\ 10\}\\C=\{3,\ 5,\ 9\}\\\\A\ \cup\ B=\{4,\ 6,\ 8\}\ \cup\ \{3,\ 4,\ 7,\ 10\}=\{3,\ 4,\ 6,\ 7,\ 8,\ 10\}\\C'=\{3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 10\}-\{3,\ 5,\ 9\}=\{4,\ 6,\ 7,\ 8,\ 10\}\\B\ \cap\ C'=\{3,\ \b4,\ \b7,\ \b1\b0\}\ \cap\ \{\b4,\ 6,\ \b7,\ 8,\ \b1\b0\}=\{\b4,\ \b7,\ \b1\b0\}\\\\(A\ \cup\ B)\ \cap\ (B\ \cap\ C')=\{3,\ \b4,\ 6,\ \b7,\ 8,\ \b1\b0\}\ \cap\ \{\b4,\ \b7,\ \b1\b0\}=\{\b4,\ \b7,\ \b1\b0\}

6 0
3 years ago
The sides of the base of this square right prism are 16 centimeters each and the height of the prism is 10 centimeters. What is
Montano1993 [528]

The width (W) of the prism is 16 cm.

The length (L) of the prism is 16 cm.

The height (H) of the prism is 10 cm.

The formula for the surface area of any right prism with width W, length L, and height H is the following:

A = 2 (WL + LH + WH)

Substituting using our given values changes the equation to:

A = 2 (16*16 + 16*10 + 16*10)

= 2 (256 + 160 + 160) = 2 (576)

= 1152

Thus, the surface area is 1152 cm².

Let me know if you need any clarifications, thanks!

6 0
3 years ago
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