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3 years ago

Which of the following is equivalent to the expression í^22

Mathematics

2 answers:

Anika [276]3 years ago

7 0

Answer: -1

Step-by-step explanation:

i^22

(i²)^11

(-1)^11 ( NOTE: i² = -1 )

(-1)^(10+1)

(-1)^10 × (-1)^1

((-1)²)^5 × -1

1^5 × -1

-1

ale4655 [162]3 years ago

6 0

Answer:

$i^{22}=i^{2*11}\\\\=(i^{2})^{11}\\\\=(-1)^{11}=-1$

Step-by-step explanation:

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Find the 12th and 37th term for each arithmetic sequence.

shutvik [7]

Answer:

3. f(12) = -10; f(37) = -60

4. f(12) = -102; f(37) = -352

Step-by-step explanation:

3. Put the numbers in the formula and do the arithmetic:

f(12) = 12 -2(12-1) = 12 -22 = -10

f(37) = 12 -2(37-1) = 12 -72 = -60

4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...

an = a1 +d(n -1)

Your sequence has a first term a1=8 and a common difference d=-10.

As above, fill in the numbers and do the arithmetic.

f(12) = 8 -10(12 -1) = -102

f(37) = 8 -10(37-1) = -352

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3 years ago

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ira [324]

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x) + c represents a vertical translation of the graph of f(x)

• If c > 0 then vertical shift up of c units

• If c < 0 then vertical shift down of c units

f(x) + 3 → vertical shift up of 3 units

Thus the point (- 3, 0 ) → (- 3, 0 + 3 ) → (- 3, 3)

f(x) - 5 → vertical shift down of 5 units

Thus point (4, - 2 ) → (4, - 2 - 5 ) → (4, - 7 )

-------------------------------------------------------------------------------

Given f(x) then f(x + a) represents a horizontal translation of the graph of f(x)

• If a > 0 then horizontal shift to the left of a units

• If a < 0 then a horizontal shift to the right of a units

f(x - 10) → horizontal shift to the right of 10 units

Thus point (3, 3 ) → (3 + 10, 3 ) → (13, 3 )

f(x + 4) + 5 → shift to the left of 4 units and shift up of 5 units

Thus point (6, 1 ) → (6 - 4, 1 + 5 ) → (2, 6 )

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3 years ago

Consider the two triangles shown. Which of the triangle congruence theorems could be used to prove the triangles congruent witho

Georgia [21]

Answer: AAS

Step-by-step explanation:

In the given triangles, there are two angles such as $84^{\circ}$ and $39^{\circ}$ and one non included side as 16 cm of both triangles are equal or congruent.

Thus, by AAS postulate of congruence both the triangles are congruent without establishing any additional information.

<em>The AAS postulate says that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.</em>

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3 years ago

I will mark brainliest xx.

Ivanshal [37]

Answer:

Step-by-step explanation:

3x - 14 + 6 - 4 - 2x = 12 => 3x -12 - 2x = 12 => x = 24

8 0

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iren2701 [21]

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3 years ago