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zmey [24]
3 years ago
9

The sum of six consecutive integers is −9. What are the integers?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

4, -3, -2, -1, 0, 1

Step-by-step explanation:

since there are 6 consecutive integers, we can say create an equation:

n + (n+1) + (n+2) + (n+3)+ (n+4) + (n+5) = -9

add like terms to get:

6n + 15 = -9

subtract 15 from both sides:

6n = -24

divide both sides by 6 and you get n:

n = -4

plug -4 into n + (n+1) + (n+2) + (n+3)+ (n+4) + (n+5) to find all six integers:

-4 + (-4 + 1) + (-4 + 2) + (-4 + 3)+ (-4 + 4) + (-4 + 5)

simplify the parenthesis:

-4, -3, -2, -1, 0, 1

the sum of all of these number are -9

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Zigmanuir [339]

Answer:

\frac{1}{2} (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

\frac{1}{2} a² + \frac{1}{2} ab - b² ← factor out \frac{1}{2} from each term

= \frac{1}{2} (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

\frac{1}{2} a² + \frac{1}{2} ab - b² = \frac{1}{2}(a + 2b)(a - b)

5 0
3 years ago
PLEASE ANSWER FAST !!
emmainna [20.7K]

Answer:

Obviously condensation

Step-by-step explanation: because it is

7 0
3 years ago
What is the value of x in this equation
eduard
The the first one the answer should be -4

For the second one the answer should be 3
7 0
3 years ago
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Read the following statement. If a number is divisible by 2,then it is even what is the inverse of this statement?
Lapatulllka [165]

Answer:

If it is an even number, then it is divisible by 2

Step-by-step explanation:

You flip the order of statements.  One statement is "a number is divisible by 2", the other is "it is even" is the other.  

7 0
3 years ago
Express the area A of a circle as a function of its​ radius, r. Determine the area of a circle whose radius is 11 inches. That​
nekit [7.7K]
<h2>Answer with explanation:</h2>

The function represents the area of a circle(A) is given by :-

A(r)=2\pi r

To determine the area of a circle whose radius is 11 inches. , we put the value of r=11 inches, we get

A(11)=2\pi (11)

Now, we put \pi=\dfrac{22}{7} in the above function , we get

A(11)=2(\dfrac{22}{7} )(11)\\\\\Rightarrow\ A=56.5714285714\approx56.57

8 0
3 years ago
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