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lina2011 [118]
3 years ago
14

What is the distance between the points?! round to the nearest tenth i need to show work

Mathematics
1 answer:
Contact [7]3 years ago
5 0

Answer:

8.6

Step-by-step explanation:

To find the distance between two points we use the formula posted below

All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with

the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267

then we round to the nearest tenth and get 8.6

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Mariulka [41]

Answer:

<h3>n = 10</h3>

Step-by-step explanation:

The nth term of an arithmetic sequence is expressed as:

Tn  = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

Let the sequence be 2, T1, T2, T3...Tn, 46

The common difference is expressed as d = b-a/n+1

T1 = 2 + d

Given b = 46 and a = 2

d = 46-2/n+1

d = 44/n+1

T1 = 2 + (44/n+1)

T1 = 2(n+1)+44/n+1

T1 = 2n+2+44/n+1

T1 = 2n+46/n+1

Similarly;

Tn =  2 + nd

Tn = 2 + n(44/n+1)

Tn = 2 + 44n/n+1

Tn = 2(n+1)+44n/n+1

Tn = (2n+2+44n)/n+1

Tn = 46n+2/n+1

If the ratio of the first mean to last mean is 1:7 then T1/Tn = 1/7

(2n+46/n+1)÷(46n+2/n+1) = 1/7

2n+46/n+1 * n+1/46n+2 = 1/7

2n+46/46n+2 = 1/7

Cross multiply and solve for n:

46n + 2 = 7(2n + 46)

46n + 2 = 14n + 322

46n - 14n = 322-2

32n = 320

n = 320/32

n = 10

<em>Hence the value of n is 10</em>

3 0
3 years ago
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