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3 years ago

Find the product. (2n + 2)(2n – 2)

2 answers:

7 0

Use the FOIL method, or (First, Outside, Inside, Last)

2n x 2n = 4n^2
2n x (-2) = -4n
2n x (2) = 4n
2 x (-2) = -4

4n² - 4n + 4n - 4 (simplify)

4n² (-4n + 4n) - 4

-4n + 4n = 0

4n² - 4 is your answer

hope this helps

vekshin13 years ago

3 0

(2n + 2)(2n – 2)
= (2n)^2 -2^2
= 4n^2 - 4

hope it helps

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3. If the sum of (3+6i) and (4+pi) is (7+81), then what is the value of p?

Aliun [14]

Answer:

p=2

Step-by-step explanation:

(3+6i) and (4+pi) is (7+8i)

3+4 = 7

6i+pi = 8i

Subtract 6i from each side

pi = 8i-6i

pi = 2i

That means p = 2

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3 years ago

The officer stepped off 20 paces from E to G. If his pace is 2 1/2 feet long. How wide was the river?

Sergeeva-Olga [200]

Answer:

The wide of river is $50\ ft$

Step-by-step explanation:

In this problem we know that

Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence

therefore

EG=EF

$EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft$

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3 years ago

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3 years ago

Solve for g in the proportion. 42/g = 14/10 g =

NeX [460]

Cross mutiply. 42*10= 420. 14*g= 14g

14g= 420

divide by 14 for both sides

14g/14= 420/14

g= 30

Check answer by using substitution method

42/30. Divide by 3 . 42/3= 14 , 30/3= 10

14/10 and 14/10 equal to each other by dividing 2.

14/2= 7 , 10/2= 5

7/5= 7/5

Answer: g= 30

6 0

3 years ago

Read 2 more answers

Find the angle of depression

slavikrds [6]

Given:

In triangle ABC, $m\angle A=66^\circ, AB=5\text{ mi}$ .

To find:

The angle of depression from point A to point C.

Solution:

According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In triangle ABC,

$m\angle A+m\angle B+m\angle C=180^\circ$

$66^\circ+90^\circ+m\angle C=180^\circ$

$156^\circ+m\angle C=180^\circ$

$m\angle C=180^\circ-156^\circ$

$m\angle C=24^\circ$

We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.

Therefore, the angle of depression is 24 degrees.

6 0

3 years ago