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xxMikexx [17]
3 years ago
14

The diagram shows the first four patterns of a sequence. Find an expression for the numbers of squares in the nth pattern of the

sequence.

Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0

Answer:

n^2+3

Step-by-step explanation:

As we can see in the diagram

1st pattern consists from 1 square 1x1 +3 squares 1x1 each

2nd pattern consists from 1 square 2x2 +3 squares 1x1 each

3-rd pattern consists from 1 square 3x3 +3 squares 1x1 each

4-th pattern consists from 1 square 4x4 + 3 squares 1x1  each

We can to continue :

5-th pattern consists from 1 square 5x5+3 squares 1x1 each

So the nth    pattern consists from 1 square nxn+3 squares 1x1 each

Or total amount of 1x1 squares in nth pattern N= n^2+3

Papessa [141]3 years ago
3 0

Answer:

n² + 3

Step-by-step explanation:

The first pattern has 4 squares.

The second pattern has 7 squares.

The third pattern has 12 squares.

The fourth pattern has 19 squares.

When we subtract 3 on each term we get:

1, 4, 9, and 16, which are perfect squares.

So n² is in the formula. Each term is added 3 to the perfect squares.

The nth term becomes n² + 3.

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How do i find the x intercet for y=6x−7.
kolezko [41]

Answer:

Step-by-step explanation:  

y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-6x+7  = 0 and calculate its properties.

Graph of a Straight Line

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -7/1 so this line "cuts" the y axis at y=-7.00000

 y-intercept = -7/1  = -7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/6 Our line therefore "cuts" the x axis at x= 1.16667

 x-intercept = 7/6  =  1.16667

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -7.000 and for x=2.000, the value of y is 5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.000 - (-7.000) = 12.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope     = 12.000/2.000 =  6.000

 Slope = 12.000/2.000 = 6.000

 x-intercept = 7/6 = 1.16667

 y-intercept = -7/1 = -7.00000

3 0
3 years ago
What angle is this and explain
REY [17]

The measures of the angles are 59 degrees

<h3>How to determine the value of the angles?</h3>

The angles are given as:

Angle 1 = 2x + 17

Angle 2 = 3x - 4

By the interior angle theorem, the angles are congruent

So, we have

Angle 1 = Angle 2

Substitute the known values in the above equation

2x + 17= 3x - 4

Collect the like terms

3x - 2x = 17 + 4

Evaluate the like terms

x = 21

Substitute x = 21 in Angle 1 = 2x + 17

Angle 1 = 2 * 21 + 17

Evaluate

Angle 1 = 59

This means that

Angle 1 = Angle 2 = 59

Hence, the measures of the angles are 59 degrees

Read more about angles at:

brainly.com/question/25716982

#SPJ1

8 0
1 year ago
The unit rate of 64 pieces <br> of candy in 4 bags
Juliette [100K]

Answer:

16 pieces of candy per bag

Step-by-step explanation:

6 0
3 years ago
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Dafna11 [192]

Answer:

B) 8n+4

Step-by-step explanation:

The product of 8 and n means 8n. Four more means +4. These together equal B) 8n+4

6 0
3 years ago
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Can inverse operations that undo Another operation
ohaa [14]

Answer:

yes they can

Step-by-step explanation:

5 0
3 years ago
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