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Olegator [25]
3 years ago
10

Which algebraic rule describes the 180° counterclockwise rotation about the origin

Mathematics
2 answers:
fgiga [73]3 years ago
8 0
Rule describes the 180° counterclockwise rotation about the origin=
(x,y)→(−x,−y)
horsena [70]3 years ago
8 0

Answer:

(x,y)\rightarrow (-x,-y)

Step-by-step explanation:

We are asked to find the the algebraic rule describes the 180° counterclockwise rotation about the origin .

We know that when we rotate a point 180° counterclockwise rotation about the origin , the x and y-coordinates change their sign.

(x,y)\rightarrow (-x,-y)

Therefore, our required rule is (x,y)\rightarrow (-x,-y).

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6/3 + (-1/6) = ?<br><br> (These are supposed to be fractions)
Phoenix [80]

Answer: 11/6 or 1 5/6

<u>Simplify 6/3</u>

6/3÷3/3=2/1

<u>Change 2/1</u>

2/1×6/6=12/6

New Problem: 12/6+(-1/6)

<u>Add</u>

12+-1/6=11/6

<u>Simplify</u>

11/6 = 1 5/6

6 0
3 years ago
Solve the system of equations.<br> 5y – 4c = -7<br> 2y + 4x = 14
Lesechka [4]

c=\frac{5y}{4\\} + \frac{7}{4\\}

x=-\frac{y}{2} + \frac{7}{2}

Step-by-step explanation:

if 'c' is meant to be another 'x' the answer is

(3, 1)

x = 3,y = 1

4 0
3 years ago
You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided
Vinil7 [7]

Answer:

Runner-up: $15,000

Winner: $75,000

Step-by-step explanation:

Let's create an equation for this problem.

Let x=the amount the runner-up receives

Let 5x=the amount the winner receives

Then,

x+5x=90,000

6x=90,000

x=15,000

5x=75,000

3 0
3 years ago
Find the mean of the following data set<br> 73, 81, 51, 76, 89, 95, 88
kifflom [539]

Answer:

mean =  \frac{(73 + 81 + 51 + 76 + 89 + 95 + 88)}{7}  \\  = 79

6 0
3 years ago
Read 2 more answers
F(n)=45⋅(4/5)^n−1<br> complete the recursive formula of f(n)
Radda [10]

F(1) = 45

f(n) = f(n-1) * 4/5

Step-by-step explanation:

f(n) = 45 x (4/5)ⁿ⁻¹

f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45

f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²

f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹

7 0
3 years ago
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