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Harman [31]
3 years ago
13

A certain game is played on a board that shows a portion of the xy-coordinate plane. During one move in the game, a marker at a

point (a,b) is first moved to the point (b,a) and then moved 3 units to the left. During such a move, a marker that is at (4,3) will be moved to
Mathematics
1 answer:
iren2701 [21]3 years ago
6 0

Answer: (0,4)

Step-by-step explanation:

Given: During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) .                                                                     (i)

And then moved 3 units to the left.                                   (ii)

Translation rule to move a point (x,y) c units left : (x,y)→(x-c,y)

Now, (4,3)  first will become (3,4)  [using (i)]

Then, (3,4)→(3-3,4)=(0,4)   [using (ii) and translation rule]

Hence, During such a move, a marker that is at (4,3) will be moved to (0,4).

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3 years ago
Gertrude cut a 76-meter rope into two pieces. the long piece was 12 meters longer than the short piece. how long was the short p
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The shorter piece was 32 meters.
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3 years ago
If one 1.5 cups is 12 fluid ounces, how many fluid ounces do I have if I
Alchen [17]

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120

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7 0
3 years ago
Read 2 more answers
Phyllis invested 50000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7
Elodia [21]

Answer:

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x-----> the amount invested at 5%

50,000-x -----> the amount invested at 7%

so

t=1\ year\\ I=\$2,720\\r_1=0.05\\r_2=0.07\\P_1=\$x\\P_2=\$(50,000-x)

substitute in the formula above

2,720=x(0.05*1)+(50,000-x)(0.07*1)

solve for x

2,720=0.05x+3,500-0.07x

0.07x-0.05x=3,500-2,720\\0.02x=780\\x=\$39,000

(50,000-x)=\$11,000

therefore

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

5 0
3 years ago
Please please help me on this.
quester [9]

Answer:

A

Step-by-step explanation:

An equation in the form y=kx represents something increasing at a constant <u>rate</u>

5 0
3 years ago
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