# Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes himdirectly back home?2²+3² - of3²-2²-2of +2² - 3²2 + 3²= 2²Answer

I would say it would be D

Step-by-step explanation:

Step-by-step explanation:

## Related Questions

Use​ Gauss's approach to find the following sum​ (do not use​ formulas):5+11+17+23...+83

Denote the sum by S. So

S = 5 + 11 + 17 + 23 + ... + 83

There's a constant difference of 6 between consecutive terms in S, so the 3 terms before 83 are 77, 71, and 65. So

S = 5 + 11 + 17 + 23 + ... + 65 + 71 + 77 + 83

Gauss's approach involves inverting the sum:

S = 83 + 77 + 71 + 65 + ... + 23 + 17 + 11 + 5

If we add terms in the same position in the sums, we get

2S = (5 + 83) + (11 + 77) + ... + (77 + 11) + (83 + 5)

and we notice that each grouped term on the right gives a total of 88. So the right side consists of several copies n of 88, which means

2S = 88n

and dividing both sides by 2 gives

S = 44n

Now it's a matter of determining how many copies get added. The terms in the sum form an arithmetic progression that follows the pattern

11 = 5 + 6

17 = 5 + 2*6

23 = 5 + 3*6

and so on, up to

83 = 5 + 13*6

so n = 13, which means the sum is S = 44*13 = 572.

To find the sum of the given arithmetic series, we can use Gauss's approach by finding the number of terms and then calculating the sum using the formula for the sum of an arithmetic series.

### Explanation:

To find the sum of the given series, we can use Gauss's approach. The series is an arithmetic progression with a common difference of 6. We can find the number of terms in the series using the formula for the nth term of an arithmetic sequence and then use the formula for the sum of an arithmetic series to find the sum.

1. Find the number of terms (n):
1. The first term (a) is 5, and the common difference (d) is 6.
2. Find the last term (l) using the formula: l = a + (n - 1)d
3. Substitute the values and solve for n: 83 = 5 + (n - 1)6
4. Simplify and solve for n: n = 15
2. Find the sum (S):
1. The formula for the sum of an arithmetic series is: S = (n/2)(a + l)
2. Substitute the values and solve for S: S = (15/2)(5 + 83)
3. Calculate the sum: S = 15(44)
4. Simplify the sum: S = 660

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You have \$20 to spend on taxi fare. The ride costs \$5 plus \$2.50 per kilometer. Write an inequality to determine the distance in kilometers,d, you can ride for \$20.

it has to be ummmm.........

When you convert 3,500,000,000,000 to scientific notation, the exponent

The exponent is positive, and the exponent is 12

Step-by-step explanation:

Whats is 9+10= in math

19 in math, 21 in meme .

it's simple 9+10=19(:

1. Led the Russians in a second revolution 2. promised peace land and bread 3. established the new economic policy (NEP) : which leader is being described by these statements ?