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pantera1 [17]
3 years ago
8

Each side of the first figure is one unit copy and complete the table then find the function rule for the relationship between t

he figures number and the parameter

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
8 0
Perimeter of a shape is the total length of its border

Figure 1, perimeter = 5 units
Figure 2, perimeter = 7 units
Figure 3, perimeter = 9 units
Figure 4, perimeter  = 11 units

Notice that the perimeter is forming an Arithmetic sequence; 5, 7, 9, 11 with a common difference of 2

The general form of an Arithmetic sequence is 

n_{th}term=dn+0^{th}term

Where 'd' is a common difference and 'n' is the number of terms.

We have d = 2, and
zero term = the term before the first term = 3

n_{th}term=2n+3 ⇒ This is the rule to find the perimeter of the next figures

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Solve for x for 1 and 2
taurus [48]

Answer:

1. 37.5

2. 8

Step-by-step explanation:

1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.

this means that 16/46 = 20/(x+20)

then, just solve that for x

16/46 = 20/(x+20)

divide both sides by 4

4/46 = 5/(x+20)

multiply both sides by (x + 20)

(x+20) * 4/46 = 5

multiply both sides by 46

4x + 80 = 230

subtract 80

4x = 150

divide 4

x = 37.5

2. do the same thing ( still similar triangles)

the equation would be (3x + 1)/10 = (7x - 1)/22

solve

22(3x + 1) = 10(7x - 1)

66x + 22 = 70x - 10

32 = 4x

x = 8

3 0
2 years ago
What is the maximum number of possible solutions for the system shown below?
vekshin1

Answer:

B:  4 solutions

Step-by-step explanation:

Combining the two equations results in 2x² = 52, or x² = 26.

This equation has two solutions:  x = ±√26.

As before, x² = 26.  If we substitute 26 for x² in the 1st equation, we get:

26 - 4y² = 16, or 4y² = 10, or y = ±√5/2.  Again:  two solutions.

If we take x to be +√26, y could be ±√(5/2).

Check:  is ( √26, √(5/2) ) a solution of the system?

Subbing these values into the first equation, we get:

26 - 4(5/2) = 16.  Is this true?

Then 10 = 10.  Yes.

Through three more checks, we find that this system has FOUR solutions.

5 0
3 years ago
Jill is factoring the expression 13XY -52y. Her work is shown below
Sunny_sXe [5.5K]

Answer:13y(x-4)

Step-by-step explanation:

13xy-52y =13y(x-4)

3 0
3 years ago
15 less than a number tripled is equivalent to the difference of the same number and 12
Nitella [24]

Step-by-step explanation:

x = number

3x - 15 = (x - 12)×-4 or (12-x)×-4

3x - 15 = -4x + 48 or -48 + 4x

7x = 63, x = 9 or

33 = x

4 0
3 years ago
PLEASE ANSWER ASAP!!
Doss [256]

Answer:

It is 0.125

Step-by-step explanation:

5 0
3 years ago
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