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sdas [7]
3 years ago
10

Solve for x. Show your work. For each picture, please

Mathematics
1 answer:
finlep [7]3 years ago
8 0
If two secants intersect from a point outside of the circle, then the product of the lengths of the secant and its external segment equals the product of the other secant and its external segment.

#1
5(x+5) = 6(4+6)
5x + 25 = 6 * 10
5x = 60 - 25
5x = 35
x = 7

#2
4(x+4) = 3(5+3)
4x + 16 = 3 * 8
4x = 24 - 16
4x = 8
x = 8/4
x = 2
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Write down the first 6 elements of the following sequence (where n ∈ Z+), then give a recursive definition for an. Do not forget
Sonbull [250]

Answer:

a. The first six terms are:

-7, -4, -1, 2, 5, 8

b. The first six terms are:

0, 2, 0, 2, 0, 2.

c. The first six terms are:

4, 8, 24, 96, 480, 2880

Step-by-step explanation:

a. an - 3n - 10

For n = 1

a1 = 3(1) - 10

= -7

For n = 2

a2 = 3(2) - 10

= -4

For n = 3

a3 = 3(3) - 10

= -1

For n = 4

a4 = 3(4) - 10

= 2

For n = 5

a5 = 3(5) - 10

= 5

For n = 6

a6 = 3(6) - 10

= 8

The first six terms are:

-7, -4, -1, 2, 5, 8

b. an= (1+(-1)^n)^n

For n = 1

a1 = (1+(-1)^1)^1

= 0

For n = 2

a2 = (1+(-1)^2)^1

= 2

For n = 3

a3 = (1+(-1)^3)^1

= 0

For n = 4

a4 = (1+(-1)^4)^1

= 2

For n = 5

a5 = (1+(-1)^5)^1

= 0

For n = 6

a6 = (1+(-1)^6)^1

= 2

The first six terms are:

0, 2, 0, 2, 0, 2.

c. an= 2n! (2)

For n = 1

a1 = 2(1!)(2)

= 4

For n = 2

a2 = 2(2!)(2)

= 8

For n = 3

a3 = 2(3!)(2)

= 24

For n = 4

a4 = 2(4!)(2)

= 96

For n = 5

a5 = 2(5!)(2)

= 480

For n = 6

a6 = 2(6!)(2)

= 2880

The first six terms are:

4, 8, 24, 96, 480, 2880

5 0
3 years ago
Write the set by listing its elements.
IceJOKER [234]

Step-by-step explanation:

set o= o

set t= t

those are the set of letters used to form the set

7 0
3 years ago
What is the product of (-1/4)x(-3/7)
Iteru [2.4K]

The answer is 3/28

-1/4 x -3/7

-1 x -3 = 3

4 x 7 = 28

3/28

7 0
3 years ago
Read 2 more answers
Ramon earns $1,835 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earning
Nitella [24]

Answer:

Sorry Iam at exam now

I know the answer but IAM writing exam

7 0
3 years ago
What is the best approximation for the area of this circle?
Svetradugi [14.3K]
Area of circle = πr² = 3.14×4² = 50.24m²

The best approximation is C.
6 0
4 years ago
Read 2 more answers
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