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3 years ago

The sum of two consecutive integers is 41. Find the integers

Mathematics

1 answer:

BigorU [14]3 years ago

3 0

20 and 21 is your answer

20 + 21 = 41

hope this helps

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several students were surveyed about their favorite class. the results are shown in the table. What fractionof the students chos

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Answer:

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3 years ago

7.<br>(-3x³)(-2x³y⁴z)(-3z²)÷(4x³z)(-3yz) (-3xyz)

serg [7]

Answer:

$-\frac{x^2y^2}{2}$

Step-by-step explanation:

We have an extremely large equation and are asked to divide it, so let's solve it step-by-step :

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$\frac{-3x^3 *2x^3y^4z *3z^2}{4x^3z*3yz*3xyz}$

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$\frac{-18x^6y^4z^3}{4*3*3x^3yyzzz}$

Multiply the denominators :

$\frac{-18x^6y^4z^3}{36x^4y^2z^3}$

Apply the negative rule :

$-\frac{18x^6y^4z^3}{36x^4y^2z^3}$

Cancel the common factor which is 18 :

$-\frac{x^6y^4z^3}{2x^4y^2z^3}$

Apply the addition exponent rule :

$\frac{y^4z^3x^{6-4} }{2y^2z^3}$

Subtract :

$\frac{x^2y^4z^3 }{2y^2z^3}$

Apply the rule for y :

$\frac{x^2y^{4-2} z^3 }{2z^3}$

Subtract :

$\frac{x^2y^2z^3 }{2z^3}$

Cancel the common factor of z^3 :

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3 years ago

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Hope this helps. ^_^

(If you're gonna add them up it's 8x60=480 + 8x50=400=880) :P

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3 years ago

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Answer:

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Answer: f (x) = 4 occurs when x = 0 and f (-2) = 2.

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3 years ago

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Write a paragraph proof of the Triangle Angle Sum Theorem using the following figure. A line should pass through F as part of th

BabaBlast [244]

Answer:

Step-by-step explanation:

To prove the triangle angle sum theorem,

We will do a construction by drawing a line PQ passing through point F and parallel to line DE.

Statements Reasons

1). ∠PFD + ∠QFD = 180° 1). linear pair postulate

2). ∠QFD = ∠QFE + ∠EFD 2). Angle addition postulate

3). ∠PFD + ∠QFE + ∠EFD = 180° 3). Substitution property

4). ∠PFD ≅ ∠FDE 4). Alternate interior angles

∠QFE ≅ ∠DEF

5). ∠FDE + ∠DEF + ∠EFD = 180° 5). Substitution property

Hence sum of interior angles of ΔDEF is 180°.

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4 years ago