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Alborosie
3 years ago
10

Find the distance between the points (a1, b1) and (a2, b2).

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Step-by-step explanation:

Let there be point X whose coordinates are (a2,b2) and point Y whose coordinates are (a1,b1)

Using distance formula ,

\sqrt{ ({a}^{2} -  {a}^{1}) + ( {b}^{2} -  {b}^{1}  )  }

where \:  {a}^{2 }  >  {a}^{1}   \: and \: \:   {b}^{2}  >  {b}^{1}

If \:  {a}^{1} > {a}^{2} \: and \: {b}^{1}>{b}^{2}

Distance formula will be

\sqrt{({a}^{1} - {a}^{2}) + ({b}^{1} - {b}^{2})}

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Write an absolute value function that shifted 2<br> units right.<br><br> HELPPPP
iVinArrow [24]

Answer: (a)

Step-by-step explanation:

Suppose the original function is y=\left | x \right |

To shift it 2 units right, replace x by x-2 such that

\Rightarrow x-2=0\\\Rightarrow x=2

So, the function becomes y=\left | x -2\right |

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3 years ago
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4 0
2 years ago
a theater is designed with 15 seats in the first row, 19 in the second, 23 in the third, and so on. if this seating pattern cont
marusya05 [52]

Answer:

<u>131 seats</u> are in the 30th row.

Step-by-step explanation:

The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.

Now, to find the number of seats in the 30th row.

So, we get the common difference(d) from the arithmetic sequence first:

19-15=4.

Thus, d=4.

So, the first tem a(1) = 15.

The number of last row (n) = 30.

Now, to get the number of seat in the 30th row we put formula:

a(n) = a(1) + d(n-1)

a(30)=15+4(30-1)

a(30)=15+4\times 29

a(30)=15+116

a(30)=131

Therefore, 131 seats are in the 30th row.

4 0
3 years ago
Look at the system of equations below. Y=2x+5 y=x+6 What is the x-coordinate of the solution to the system?
soldi70 [24.7K]

Answer:

1

Step-by-step explanation:

Given the system of equations below

y=2x+5

y=x+6

Equating the right hand side of the expressions we will have;

2x+5 = x+6

Collect the like terms;

2x - x = 6 - 5

x = 1

Hence the x-coordinate of the solution to the system is 1

4 0
3 years ago
if you have driving 120 miles per hour how much more miles per hour do you need to drive to get to 208
Verizon [17]

Answer:

I think it would be 88

Step-by-step explanation:

208-120=88

hope this helps! :)

6 0
2 years ago
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