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lord [1]
4 years ago
8

Identify the hyperbolas (represented by equations) whose centers are at (2, 1)

Mathematics
1 answer:
weqwewe [10]4 years ago
5 0
When the transverse axis is horizontal, a hyperbola centered at (h,k) has formula (x-h)^2/a^2-(y-k)^2/b^2=1. Plug in h=2, k=1, the formula is (x-2)^2/a^2-(y-1)^2/b^2=1 for some a,b. If the transverse axis is vertical, the formula is (y-h)^2/a^2-(x-k)^2/b^2=1, and (y-2)^2/a^2-(x-1)^2/b^2=1 in our case.
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Please help me..!!!!!
schepotkina [342]

Answer:

x + 7

Step-by-step explanation:

1+7=8

2+7+9

so on

4 0
3 years ago
Which property is demonstrated <br> 9 * 3 * 4 = 4 * 3 * 9
mr_godi [17]
The commutative property of multiplication.
4 0
3 years ago
Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive
navik [9.2K]

Answer:

The explicit formula

a_n = 3 +0.25 (n-1)

The recursive formula

a_1 = 3                            for n=1

a_n = a_ {(n-1)} +0.25     if n>1

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

a_n = a_1 + d (n-1)

Where d is the constant difference between the terms.

d = 0.25

a_1 is the first term of the sequence.

a_1 = 3

So

a_n = 3 +0.25 (n-1)

Finally, the recursive formula is:

a_1 = 3\\\\a_n = a_ {(n-1)} +0.25

8 0
3 years ago
A train travels from New York City to Washington D.C. and then back again. The table below shows the number of Coach tickets sol
alisha [4.7K]

Answer:  $74

<u>Step-by-step explanation:</u>

Let C represent the cost of a coach ticket

Let B represent the cost of a business ticket

Washington: 150C +  50B = 18,450

NY City:         170C + 100B = 27,280

Solve the system using the Elimination method:

-2(150C +  50B = 18,450)   →   -300C - 100B = -36,900

1(170C + 100B = 27,280)   →     <u>170C + 100B =  27,280  </u>

                                                 -130C             =  - 9,620

                                             <u>  ÷ -130              </u>  <u> ÷   -130    </u>

                                                          C            =      74

8 0
3 years ago
Video club A charged $10 for membership and $3 for movie rental. Video Club B charges $15 for membership and $2 per movie rental
jarptica [38.1K]
Write an equation

10 + 3x = 15 +2x 
      -2x           -2x
-----------------------
10 + x (1x) = 15
-10                -10
----------------------
x = 5

cost= 25 (10 + 15) 
6 0
4 years ago
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