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grigory [225]
3 years ago
9

Rotate the given triangle 90°

Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0

Answer:

Step-by-step explanation:

kati45 [8]3 years ago
4 0

9514 1404 393

Answer:

  \left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]

Step-by-step explanation:

The rotation matrix for 90° CCW is ...

  \left[\begin{array}{cc}0&-1\\1&0\end{array}\right]

Then the rotated coordinates are ...

  \left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]

_____

The transformation of each ordered pair is ...

  (x, y) ⇒ (-y, x)

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nikdorinn [45]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Problem 1:</u>

A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.

<u>Problem 2:</u>

We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.

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3 years ago
Will give brainliest if its correct and more than one person answers
myrzilka [38]
D) a = 24, c = 48, e = 22, i = 80 is the correct answer.

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6 0
3 years ago
Read 2 more answers
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Allushta [10]

Answer:

y= (3/2)x-3

Step-by-step explanation:

We need two points to find the equation of a line. Let's take (2,0) and (4, 3).

In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.

Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation

y= (3/2)x-3

8 0
3 years ago
An author signed copies of her newest book for 57 minutes until the bookstore closed at 5:00 What time did the author begin sign
maks197457 [2]

Answer:

4:03

Step-by-step explanation:

8 0
3 years ago
Solve 4x + 1 = 3 – 2x
romanna [79]

Answer:

x = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x + 1 = 3 - 2x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 2x on both sides:                    6x + 1 = 3
  2. Subtract 1 on both sides:                6x = 2
  3. Divide 6 on both sides:                   x = 1/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(1/3) + 1 = 3 - 2(1/3)
  2. Multiply:                        4/3 + 1 = 3 - 2/3
  3. Add/Subtract:               7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

7 0
3 years ago
Read 2 more answers
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