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Over [174]
3 years ago
7

What is the image of the point (-1,-3) after a rotation of 90 ∘ counterclockwise about the origin?

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Answer:

(-3,1)

Step-by-step explanation:

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6. SAS Postulate

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Create a list of steps, in order, that will solve the following equation.
Vlada [557]

Answer:

a = -3

Step-by-step explanation:

Solve for a:

2 (a + 5) - 1 = 3

Hint: | Distribute 2 over a + 5.

2 (a + 5) = 2 a + 10:

(2 a + 10) - 1 = 3

Hint: | Group like terms in 2 a - 1 + 10.

Grouping like terms, 2 a - 1 + 10 = 2 a + (10 - 1):

(2 a + (10 - 1)) = 3

Hint: | Evaluate 10 - 1.

10 - 1 = 9:

2 a + 9 = 3

Hint: | Isolate terms with a to the left hand side.

Subtract 9 from both sides:

2 a + (9 - 9) = 3 - 9

Hint: | Look for the difference of two identical terms.

9 - 9 = 0:

2 a = 3 - 9

Hint: | Evaluate 3 - 9.

3 - 9 = -6:

2 a = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 a = -6 by 2:

(2 a)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

a = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

Answer:  a = -3

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2 years ago
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Jack plants 20 more trees than Jim.

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4 years ago
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I am Lyosha [343]

Answer:

49.4

Step-by-step explanation:

So, 1 Gallon = 3.8 Liters.  We need to find how many liters are in 13 gallons.

All we need to do is multiply our 3.8 liters (1 gallon) by 13 to find out how many  liters 13 gallons is.

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Your answer is 49.4.

<u>Hope this helps and have a nice day!</u>

5 0
3 years ago
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