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), the translation made is ? If the player moves the knight from (5, 1) to (6, 3), the translation made is?

Answers

Answer 1

Answer: If a player moves a knight from the location (3, 2) to (5, 1) on a chessboard the translation made is 2 squares up, 1 square left.

If the player moves the knight from (5, 1) to (6, 3), the translation made is 2 squares right, 1 square up.

Answer 2

Answer:

Answer: 1 square down, 2 squares right

2 squares up, 1 square right

Step-by-step explanation:

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Find all zeros (real and complex) for the function f(x)=x^3-5x^2+9x-5

Answers

$f(x)=x^3-5x^2+9x-5\n f(x)=x^3-x^2-4x^2+4x+5x-5\n f(x)=x^2(x-1)-4x(x-1)+5(x-1)\n f(x)=(x-1)(x^2-4x+5)\n\n (x-1)(x^2-4x+5)=0\n\n x-1=0\n x=1\n\n x^2-4x+5=0\n x^2-4x+4+1=0\n (x-2)^2=-1\n x-2=i \vee x-2=-i\n x=2+i \vee x=2-i\n\n x=\{1,2-i,2+i\}$

Show work
solve x^2-6x= -25

Answers

Answer: x = 3 ± 4i

Step-by-step explanation:

x² - 6x + 25 = 0

a=1 b= -6 c=25

Use Quadratic Formula:

$x = \frac{-b +/- \sqrt{b^(2)-4ac}}{2a}$

$= \frac{-(-6) +/- \sqrt{(-6)^(2)-4(1)(25)}}{2(1)}$

$= (6 +/- √(36-100))/(2)$

$= (6 +/- √(-64))/(2)$

$= (6 +/- 8i)/(2)$

$= (2(3 +/- 4i))/(2)$

= 3 ± 4i

Answer:

x= 3+4i , x= 3-4i

Step-by-step explanation:

x^2-6x= -25

To solve for x we need to make right hand side

So add 25 on both sides

$x^2-6x+25=0$

Now apply quadratic formula

$x=(-b+-√(b^2-4ac))/(2a)$

From the given equation a=1, b=-6 and c=25

Plug in all the values in the formula

$x=(-(-6)+-√((-6)^2-4(1)(25)))/(2(1))$

$x=(6+-√(-64))/(2)$

We know $√(-1) =i$

So equation becomes

$x=(6+8i)/(2)$

Divide by 2

x= 3+-4i

So x= 3+4i , x= 3-4i

Evaluating Expressions The order of operations tells you how to evaluate an arithmetic expression with more than one operation. An expression is a mathematical statement that contains numbers, operations, and sometimes letters. Order of Operations: Complete operations inside parentheses. Evaluate exponents. Multiply and divide from left to right. Add and subtract from left to right. Complete the steps to simplify each problem. Expression Answer Simplified expression 8 + 6 12 - 2.6 28 + 7.4

Answers

Answer:

To evaluate the given expressions, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's simplify each expression step by step:

1. 8 + 6:

The addition operation is straightforward. Adding 8 and 6 gives us the answer of 14.

2. 12 - 2.6:

Again, we perform the subtraction operation. Subtracting 2.6 from 12 gives us the answer of 9.4.

3. 28 + 7.4:

Similar to the first expression, we add 28 and 7.4 to get the answer of 35.4.

Therefore, the simplified expressions are as follows:

- 8 + 6 = 14

- 12 - 2.6 = 9.4

- 28 + 7.4 = 35.4

Step-by-step explanation:

If you are riding on a Ferris wheel that is 60 feet tall and it takes you 5 minutes to make one revolution, what is your linear velocity?a. 0.62 feet per second
b. 0.31 feet per second
c. 37.68 feet per second
d. 3.14 feet per second
e. 9.42 feet per second

Answers

By definition, the linear velocity is given by:
$v = w*r$
Where,
w: angular speed
r: radius
We have that the radius of the wheel is
$r = d / 2$
Where,
d: diameter of the wheel
substituting values:
$r = 60/2 r = 30 feet$
Then, we have the following conversions:
1 revolution = 2π radians
1 minute = 60 seconds
Therefore, the angular velocity in radians per second is:
$w = (1)/(5) (2 \pi )/(60)$
$w = 0.0209 (rad)/(s)$
Substituting values we have:
$v = (0.0209)(30) v= 0.62$
Answer:
your linear velocity is:
a. 0.62 feet per second

Answer:

O.62

Step-by-step explanation:

(X^-3)^-5x^6
A. X^21
B. X^-21
C. X^48
D. X^-48

Answers

The answer should be X^15X^6 but that doesn’t seem to be an option.

The photo is attached.

Which number is equivalent to 3⁴÷3² This problem comes straight from a standardized test given in New York in 2014.

Answers

Answer:

Step-by-step explanation:

3^4 / 3^2 = 3^(4 - 2)

= 3^2
= 9

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