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Volgvan
3 years ago
9

Which of the expressions are equivalent to the one below? Check all that

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

  • A.  7·6 + 7·3
  • B.  7·3 + 7·6
  • C.  7·9

Step-by-step explanation:

The distributive property and the commutative property of addition both apply here.

  Distributive property: a(b+c) = ab +ac

For a=7, b=6, c=3, this becomes ...

  7(6+3) = 7·6 +7·3 . . . . . matches A

The commutative property of addition says ...

  a + b = b + a

For a=7·6 and b=7·3, this becomes ...

  7·6 + 7·3 = 7·3 + 7·6 . . . . . matches B

Of course, the expression can be partially evaluated:

  7(6 +3) = 7·9 . . . . . matches C

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vagabundo [1.1K]

Answer:

<h2>58°</h2>

Step-by-step explanation:

We will use the tangent function since we know the opposite and adjacent sides.

Tangent = opposite/adjacent

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Arctan (1.6) = 57.9946168

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4 0
3 years ago
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What does the remainder theorem conclude given that f(x)/x+6 has a remainder of 14? Enter your answer by filling in the boxes.​
musickatia [10]

Answer:

f(-6)=14

Step-by-step explanation:

According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).

It is given that \dfrac{f(x)}{x+6} has a remainder of 14.

Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get

a=-6

So, by remainder theorem, remainder of \dfrac{f(x)}{x+6} is f(-6).

Since the remainder is 14, therefore

f(-6)=14

Therefore, the answer for first blank is -6 and for second blank is 14, i.e., f(-6)=14.

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Answer:

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Step-by-step explanation:

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