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Alexxx [7]
3 years ago
12

Use the given x and y values to write a direct variation equation. x = 5, y = 25

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

k= 1/5

Step-by-step explanation:

x is proportional to y

x = ky (k is const.)

k = x/y

k= 5/25

k = 1/5

Helga [31]3 years ago
7 0

Answer:

Equation of direct variation is : \mathbf{y=5x}

Step-by-step explanation:

We are given: x= 5 and y=25

We need to write equation of direct variation.

The formula for direct variation is: \mathbf{y=kx}

So, if y=25 and x=5, k will be:

y=kx\\25=k(5)\\k=\frac{25}{5}\\k=5

So, equation of direct variation is : \mathbf{y=5x}

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4 0
3 years ago
5. Find the sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4
Elza [17]

Answer:

The sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4 is 2555.

Step-by-step explanation:

Given:

a = 5

d =  4

To Find :

The sum of first 35 terms of the arithmetic sequence  = ?

Solution:

Step 1 : finding the 35th term

a_n = a_1 +(n-1)d

a_35 = 5 +(35-1)4

a_35 = 5 +(34)4

a_35 = 5 +136

a_35 = 141

Step 2: Finding the sum of first 35 terms

S_n = \frac{n(a_1 +a_n)}{2}

Substituting the values

S_n = \frac{35(5+141)}{2}

S_n = \frac{35(146)}{2}

S_n = \frac{35(146)}{2}

S_n = \frac{5110)}{2}

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