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pantera1 [17]
3 years ago
15

Let x be an integer. prove that x is even if and only if x^2 is divisible by 4.

Mathematics
1 answer:
Digiron [165]3 years ago
4 0
If x^2 is divisible by 4 then it is an even number because anything divisible by 4 is also divisible by 2. And all numbers divisible by 2 are even numbers.
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If 9th term ofap is 99 and 99th term is 9 which term is zero<br>]​
Viktor [21]

Answer:

108 th term is zero

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 99 and a₉₉ = 9 then

a₁ + 8d = 99 → (1)

a₁ + 98d = 9 → (2)

Subtract (1) from (2) term by term to eliminate a₁

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Substitute d = - 1 into (1) for value of a₁

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a₁ - 8 = 99 ( add 8 to both sides )

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Then

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- n = - 108 ( multiply both sides by - 1 )

n = 108

The 108th term is zero

3 0
3 years ago
The cube of the sum of a number and 8​
Kay [80]
What? I can’t understand. What do you need help on!
6 0
4 years ago
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What is the gradient of the line 3y=2x-6
Karo-lina-s [1.5K]

Answer:

2/3

Step-by-step explanation:

The gradient of any line in standard form, Ax + By = C is -A/B.

Divide each term by 3 and simplify.

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3y / 3 = y

2x / 3 = 2/3x

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The first step in finding the slope of a line that is written in standard form is to write the equation in slope-intercept form, y=mx+b. To do this, rearrange the variables. The standard form, Ax + By = C can be rewritten as By = -Ax + C.

Divide by B to simplify  

In the equation By = -Ax + C, B needs to be distributed through the equation. To do this, divide both sides by B. The answer is y = (-A/B)x + C/B.  

Find the slope

Once the equation of the line is in slope-intercept form and is simplified, then the slope equals the term in front of the x variable. In the standard form from step 2, the slope is -A/B.

7 0
3 years ago
the amount tomas makes, in dollars, working h hours can be represented by the expression 18h+8. Tomas hopes to get a raise that
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$200
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