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fgiga [73]
3 years ago
11

Maggie constructs a triangle with sides lengths 7 centimeters long and 10 centimeters long.

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0

Answer:

2 cm

Step-by-step explanation:

2 + 7 < 10

sum of two sides of triangle must not small than the third side

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Write the recursive formula and the explicit formula for the sequence {-15,-7,1,9, 17,...}.
olchik [2.2K]

ANSWER

Explicit formula:

a_n= 8n - 23

Recursive

a_{n}= a_{n - 1} + 8,a_1=-15

EXPLANATION

The first term of the sequence is

a_1=-15

The common difference is

d =  - 7 -  - 15

d = 8

The nth term is given by the formula,

a_n=a_1 + d(n - 1)

a_n= - 15+ 8(n - 1)

a_n= - 15+ 8n -8

The explicit formula is;

a_n= 8n - 23

The recursive definition is

a_{n}= a_{n - 1} + 8,a_1=-15

5 0
4 years ago
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levacccp [35]

Answer:

x = 1

y = -2

Step-by-step explanation:

Given

2x - 3y = 8

4x + 3y =-2

Required

x and y

Add both equations to eliminate y

2x + 4x - 3y + 3y = 8 - 2

6x = 6

Divide both sides by 6

x = 1

Substitute x = 1 in the first equation

2x - 3y = 8

2 * 1 - 3y = 8

2 - 3y = 8

-3y = 8 - 2

-3y = 6

Divide by -3

y = -2

5 0
3 years ago
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