Lcm of 14, 21 and 28

A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), t

KATRIN_1 [288]

Answer:

T(2, -1)

T(1, 2)

Step-by-step explanation:

From (3, 2) to (5, 1), the translation is T(2, -1). x goes up by 2. y goes down by 1.

From (5, 1) to (6, 3), the translation is T(1, 2). x goes up by 1. y goes up by 2.

6 0

3 years ago

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Write the first five terms of a sequence. Don't make your sequence too simple. Write both an explicit formula and a recursive fo

Marina CMI [18]

Let the first five terms of a sequence be, 4,8,12,20,24

Ok, let me explain the meaning of term explicit and Recursive formula.

Explicit formula ,is the general formula to find any term of the sequence.

And, Recursive formula, is the method by which, we can find the nth term of the sequence if (n-1)th term of the sequence is known.

So,the explicit formula for the sequence is,

y = 4 n, where , n is any natural number.

And the recursive formula is .

y = 4 (n-1), with the help of (n-1)th term we can find nth term.

First term =4=4 × 1

Second term =8 =4 × 2

Third term =12=4×3

Fourth term =16 =4 × 4

.....................

...........................

.................................

(n-1) th term =4 × (n-1)

nth term =4 × n

Applying the simple procedure by looking at the first , second and the way the next term goes , the general and recursive formula is obtained.

As, you said you don't want simpler sequence

Consider the first five terms of the sequence, 0, 3,8,15, 24.

Explicit formula =n² + 2 n

Recursive formula=(n-1)²+2(n-1)

If,you will look at the sequence, it is neither Arithmetic nor geometric .

First term =0=0²+0×0

Second term =3=1+2=1²+2 × 1

Third term =8=4+4=2²+2×2

Fourth term =15=9+6=3²+2×3

Fifth term =24=16 +8=4²+2×4

So, Explicit formula= n²+ 2 n, where n is a whole number.

HOPE THIS HELPS!

7 0

3 years ago

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What is the measure of the missing angle?

Ipatiy [6.2K]

Answer:

79 degrees

Step-by-step explanation:

You add the two angles and get 79. Then you subtract it from 180 because it is a straight angle. 180-101=79

6 0

3 years ago

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Carolina leaves her house and walks 6 blocks she turns and heads east 8 blocks until she reaches matties house what is the short

s2008m [1.1K]

Answer:

10 blocks

Step-by-step explanation:

Given

$First = 6\ blocks$

$Second = 8\ blocks$ east

Required

Determine the shortest possible distance

To better explain my solution, I've added an attachment that illustrates her movement.

Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.

So, we have:

$x^2 = 6^2 + 8^2$

$x^2 = 36 + 64$

$x^2 =100$

Take positive square root of both sides

$x = \sqrt{ 100$

$x = 10$

5 0

3 years ago

Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of

Luda [366]

Answer:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is: