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aalyn [17]
2 years ago
15

If the average of nine consecutive integers is zero, what is the largest integer?

Mathematics
1 answer:
Orlov [11]2 years ago
4 0

Answer:

4

Step-by-step explanation:

The average of the consecutive integers is 0, so the middle number must be 0, with 4 numbers less than 0 and 4 numbers greater than 0.

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

So the largest integer is 4.

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Solve this for the brainlist
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Answer:

22.4

Step-by-step explanation:

using altitude theorem, the height of the triangle is 20

let y = height

10/y = y/40

y² = 400

y = \sqrt{400} or 20

Now we can us the Pythagorean Theorem to find 'x':

10² + 20² = x²

100 + 400 = x²

x=\sqrt{500} ≈ 22.4

8 0
2 years ago
How do you factor this equation?<br> 7x²+5x-3
svetoff [14.1K]

Answer:

Step-by-step explanation:

This is a quadratic expression.  Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.

The coefficients of this quadratic expression are a = 7, b = 5 and c = -3

The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109.  Because this is positive, we know that the expression has two unequal, real roots.

Using the quadratic formula, we now find these roots:

      -b ± √(discriminant)

x = --------------------------------   which here is:

                   2a

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x = -----------------

             14

The factors can be found from these two roots.  The first one is

      -5 - √109                  5 + √109

(x - ---------------- )  =  (x + ---------------- )

             14                              14

and the second is

        5 - √109              

(x + ---------------- )  

             14                

8 0
3 years ago
a The scale on a plan is 1 : 2500. I (a) How long is a wall which is 3 cm in length on the plan? (b) What length would be repres
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2 years ago
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vlada-n [284]

Answer:

=k6+ −9 /4  k5+ 1 /4  k4+  −7 /4  k3+  −9 /4  k2+7k−5

Step-by-step explanation:

7 0
3 years ago
What is the difference between rational and irrational numbers
quester [9]
An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.
6 0
3 years ago
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