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Alja [10]
3 years ago
10

Last month, Katie started training for the swim team. She swam 20 laps every day for 18 training days. This month, Katie wants t

o swim 215 more laps than last month. She will swim 3 more laps per training day and add more training days to her monthly schedule.
If Katie adds 5 training days to her schedule this month, will she swim 215 more laps?

If Katie adds 10 more training days to her schedule this month, will she swim 215 more laps?

If Katie adds 6 more training days to her schedule this month, will she swim 215 more laps?

Build an equation for finding the number of additional training days she needs to swim 215 more laps.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0
Please double check, this is what I came up with, I hope it helps.

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Position to term rule of 2, 6, 10, 14, 18<br><br> multiply by _____ and subtract by _____
andreyandreev [35.5K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

2, 6, 10, 14, 18

An arithmetic sequence has a constant difference and is defined as

\:a_n=a_1+\left(n-1\right)d

compute the differences of all the adjacent terms

6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4

The difference between all the adjacent terms is the same.

Thus,

d=4

and

a_1=2

Therefore, the nth term is computed by:

a_n=4\left(n-1\right)+2

a_n=4n-2

Thus, position to term rule of 2, 6, 10, 14, 18  multiply by __4___ and subtract by __2__.

4 0
3 years ago
Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work
valina [46]

Answer:

Step-by-step explanation:

Question

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.​

perimeter of a triangle = AB+AC+BC

Using the distance formula

AB = sqrt(-2-5)²+(2-2)²

AB = sqrt(-7)²

AB =sqrt(49)

AB =7

BC = sqrt(-2+2)²+(2-5)²

BC = sqrt(0+3²)

BC =sqrt(9)

BC =3

AC= sqrt(-2-5)²+(2-5)²

AC= sqrt(-7)²+3²

AC =sqrt(49+9)

AC =sqrt58

Perimeter = 10+sqrt58

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ad-work [718]
The answer will be $4.22
4 0
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If ur right I'll give u brainliest ​
klemol [59]

Answer:

D

Step-by-step explanation:

only b and d have the equation equal on both sides

and only D has it that 5 is the hypotenuse, and the opposite angle is 90 degrees

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3 years ago
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