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3 years ago

Write the equation of the line shown in point slope form (1,2) (3,6)

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (1, 2) and (3, 6). Substitute:

$m=\dfrac{6-2}{3-1}=\dfrac{4}{2}=2\\\\\boxed{y-2=2(x-1)}$

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Brainliest answer

Flura [38]

A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, q:

$a_n=a_{n-1}\cdot q=(a_{n-2}\cdot q)\cdot q=a_{n-2}\cdot q^2=...,\\ a_n=a_1\cdot q^{n-1}$ .

Given the functions $f(n)=11$ and $g(n)=\left(\dfrac{3}{4}\right)^{n-1}$ , you can consider $a_n=11\cdot \left(\dfrac{3}{4}\right)^{n-1}$ as n-th term of the geometric sequence with first term $a_1=11$ and common ratio $q=\dfrac{3}{4}$ .

For $n=9$ ,

$a_9=11\cdot \left(\dfrac{3}{4}\right)^{9-1} =11\cdot \left(\dfrac{3}{4}\right)^8=1.101$ .

Answer: the correct choice is B.

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Answer:

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3 years ago

Whats 2 1/3 - 1 3/4 in simplest form

Aleonysh [2.5K]

Answer:

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Step-by-step explanation:

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Read 2 more answers

If students sit 4 per row on a rollercoaster, 6 students are left without a seat.

dlinn [17]

An expression is defined as a set of numbers, variables, and mathematical operations. The total number of students is 54.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the number of columns in the rollercoaster be represented by x.

If students sit 4 per row on a rollercoaster, 6 students are left without a seat. Therefore, the number of students can be written as,

Total number of students = 4x + 6

If they sit 6 per row, there are 3 rows left empty. Therefore, the total number of students can be written as,

Total number of students = 6(x-3)

The total number of students can be written as,

4x + 6 = 6(x - 3)

4x + 6 = 6x - 18

2x = 24

x = 12

Now, the total number of students in the class are,

4x + 6 = 4(12) + 6 = 54

Hence, the total number of students are 54.

Learn more about Expression:

brainly.com/question/13947055

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2 years ago