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3 years ago

-2n( m^2 - m -3 ) =

Mathematics

2 answers:

kogti [31]3 years ago

4 0

Answer:

$=-2nm^2+2nm+6n$

Step-by-step explanation:

$-2n\left(m^2-m-3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2n\right)m^2+\left(-2n\right)\left(-m\right)+\left(-2n\right)\left(-3\right)\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab\\=-2nm^2+2nm+2\cdot \:3n\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6\\=-2nm^2+2nm+6n\\$

poizon [28]3 years ago

4 0

Answer: $-2nm^{2} +2nm+6n$

Step-by-step explanation:

Expand by distributing terms.

$-(2nm^{2} -2nm-6n)$

Remove parentheses.

$-2nm^{2} +2nm+6n$

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What is the quadratic of <br> X^2+5=4x

Tju [1.3M]

I hope this helps you

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3 years ago

Determine the equivalent system for the given system of equations.<br> 4x - 5y = 2<br> 3x - y = 8

kondor19780726 [428]

4x − 5y = 2
7x + 6y = 10

4 0

3 years ago

Yaneev thinks of a number y. He subtracts three from the number, then doubles it. Then he subtracts three again, and doubles the

Sergio039 [100]

Answer: y=6

Step-by-step explanation:

The given number is y.

According to the question,

Step 1 . subtracts three from the number (y-3), then doubles it

i.e. Final number = 2(y-3)

Step 2 . subtracts three again i.e. (2(y-3)-3), and doubles the number again

i.e. Final result = 2(2(y-3)-3)

If the result is his original number y, then

2(2(y-3)-3) =y

⇒ 2(2y-6-3)=y [ using distributive property]

⇒ 2(2y-9)=y

⇒ 2(2y)-2(9)=y [ using distributive property]

⇒ 4y -18=y

⇒ 4y -y= 18

⇒ 3y= 18

⇒ y= 6 [Divide both sides by 3]

Hence, y=6

4 0

3 years ago

Drag each pair of numbers to show if their greatest common factor (GCF) is less than 2, equal to 2, equal to 3, or greater than

TEA [102]

Answer:

GCF < 2 : 2 and 7, 12 and 13

GCF = 2 : 2 and 6

GCF = 3 : 3 and 6

GCF > 3 : 4 and 12, 6 and 18

Step-by-step explanation:

The greatest common Factor (GCF) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

(a) 2 and 7: Both 2 and 7 are prime numbers, therefore the GCF of 2 and 7 is 1 which is less than 2.

(b) 2 and 6: Both 2 and 6 are even numbers, therefore the GCF of 2 and 6 is 2.

(c) 4 and 12: Both 4 and 12 are even numbers and multiple of 4, therefore the GCF of 4 and 12 is 4 which is greater than 3.

(d) 12 and 13: 13 is a prime number, therefore the GCF of 12 and 13 is 1 which is less than 2.

(e) 6 and 18: Both 6 and 18 are even numbers and multiple of 6, therefore the GCF of 6 and 18 is 6 which is greater than 2 and greater than 3.

(f) 3 and 6: Both are multiple of 3, therefore the GCF of 3 and 6 is 3.

8 0

3 years ago

For a given right triangle, side a =400 feet and side b = 900 feet, what is the measure of angle A to the nearest degree.

Nitella [24]

Use A²+B² = C²

so you get sqrt 400 * 400 + 900 * 900
sqrt of 160000 + 810000
or sqrt of 970000
which is 984.9 feet

8 0

3 years ago