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3 years ago

How to erite a sequence of 1/4 , 1/2,3 write a rule for the sequence 1/4 1/2 3/4

1 answer:

3 0

The equation for finding the equation of an arithmetic sequence is an=a1+(n-1)d, where n is the input for the sequence, a1 is the first term, and d is the difference between each term.

a1= 1/4
d= 1/4

an= 1/4 + (n-1)(1/2) - First you need to distribute the 1/2 to both the n and -1 to get: an= 1/4 + 1/2n -1/2.

Then you need to add like terms (1/4-1/2) to get an=1/2n-1/4. Hope this helps!

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John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 2), C(1, -4) and D(-3, -2). What is th

allsm [11]

Answer:

$Area = 30$

Step-by-step explanation:

Given

Rectangle coordinates

$A = (0,4)$

$B = (4,2)$

$C = (1,-4)$

$D =(-3,-2)$

Required

The area of the rectangle

The area is calculated as:

$Area = Length* Width$

The length of the rectangle will be represented as:

$Length = AB = CD$

And the width is:

$Width = BC = AD$

Calculate distance AB using:

$AB = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }$

Where:

$A = (0,4)$ --- $(x_1,y_1)$

$B = (4,2)$ $--- (x_2,y_2)$

$AB = \sqrt{(0 - 4)^2 +(4 - 2)^2 }$

$AB = \sqrt{(- 4)^2 +(2)^2 }$

$AB = \sqrt{16 +4 }$

$AB = \sqrt{20}$

Calculate distance BC using:

$BC = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }$

$C = (1,-4)$ $---(x_1,y_1)$

$B = (4,2)$ $--- (x_2,y_2)$

$BC = \sqrt{(1 - 4)^2 +(-4 - 2)^2 }$

$BC = \sqrt{(- 3)^2 +(-6)^2 }$

$BC = \sqrt{9 +36}$

$BC = \sqrt{45}$

So, the area is:

$Area = Length * Width$

$Area = AB * BC$

$Area = \sqrt{20} * \sqrt{45}$

$Area = \sqrt{20 * 45}$

$Area = \sqrt{900$

$Area = 30$

4 0

3 years ago

Anyone know the answer the answer to this algebra 2 question? Anyone that gets it will give brainiest

viktelen [127]

the answer is x = 2, x = -5

3 0

3 years ago

Read 2 more answers

What is the x-intercept of<br> 3x – 4y = 242

Andreas93 [3]

Answer:

x=242/3

alternative form= 80 2/3, x=80.6

Step-by-step explanation:

3x-4y=242

substitute y = 0

3x-4x0=242

calculate the product

3x-0=242

remove 0

3x=242

divide both sides (by 3 in order to leave x by itself)

done

5 0

3 years ago

You leave home and walk 3 blocks east, then 4 blocks north. How far are you from<br><br>home?

lara31 [8.8K]

I believe the answer would 5 blocks

If you go 3 blocks East and 4 north, they are like the straight sides of a triangle, so to find the diagonal distance, or the shortest distance, you would find the diagonal side of a triangle it is
A squared + B squared = C squared

So 3x3 = 9
And 4x4 = 16
16+9=25
And the square root of 25 is 5

Please correct me if I am wrong and have a good day

4 0

3 years ago

Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20 years. Also, find the APY

tigry1 [53]

I believe answer is the square root of 87+56-12=5

3 0

3 years ago