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Svet_ta [14]
3 years ago
7

What is the difference of the polynomials? (m^2n^2-7)-(mn+4)

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Answer: The difference is,

m^2n^2-mn-11

Step-by-step explanation:

Given expression is,

(m^2n^2-7)-(mn+4)

By distributive property,

m^2n^2-7-mn-4

Combine like terms( that have the same variables and powers ),

m^2n^2-mn-11

Which is the required result.

Hence, option third is correct.

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3 years ago
Please helppp ASAP Content attribution
Aliun [14]

Answer:

The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Step-by-step explanation:

<em>In the algebraic fractions, the LCD is the least common denominator to find it do that:</em>

  • Factorize each denominator
  • Take all the factors without repeating factors

<em>Let us do that with our question</em>

∵ The denominator of the first fraction is m² + 9m + 20

→ Factorize it into two factors

∵ 20 = 4 × 5 ⇒ the last term

∵ 4 + 5 = 9 ⇒ the coefficient of the middle term

∴ m² + 9m + 20 = (x + 4)(x = 5)

∴ The factors of m² + 9m + 20 are (x + 4) and (x + 5)

<em>Do the same with the 2nd denominator</em>

∵ The denominator of the second fraction is m² + 11m + 28

→ Factorize it into two factors

∵ 28 = 4 × 7 ⇒ the last term

∵ 4 + 7 = 11 ⇒ the coefficient of the middle term

∴ m² + 11m + 28 = (x + 4)(x + 7)

∴ The factors of m² + 11m + 28 are (x + 4) and (x + 7)

∵ The factors of the two denominators are (x + 4), (x + 5), (x + 4), (x + 7)

→ LCD will be all factors without repeating which means we will

   take the factor (x + 4) just one time, we will not repeat it.

∴ LCD = (x + 4)(x + 5)(x + 7)

∴ The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

5 0
3 years ago
Someone please help me with thiss
Olenka [21]

Answer:

The total trip will be 4 hours long.

Step-by-step explanation:

The length of the trip decreases by 65/2 miles for every half hour. So in 2 half hours (or 1 hour), Aubree would have traveled the last 65 miles she needed.

7 0
3 years ago
I only need help with justifying the step in solving the problem. Please help!
ale4655 [162]

Well, for method one the first step we have is distribution, then combining like terms, then property of subtraction, then division.  For method two, I'm not entirely sure what they did there.  I've never done math like that.  Sorry I can't help you out all the way.

-TTL

3 0
3 years ago
Read 2 more answers
A solid cuboid has a volume of 40cm^3
NikAS [45]
A cuboid is a box-shaped object. It has six sides and all are perpendicular

Formula for volume is:
V=a*b*c
Formula for a surface area is:
A=2*(ab+bc+ac)

We start writting down given information:
V=40cm^3
A=100cm^2
a=2cm

Now we insert this information into formulas:
40=2*b*c
100=2*(2b+bc+2c)

Now we divide both equations by 2:
20=bc
50=2b+bc+2c

We solve first equation for b and insert it into second equation:
b=20/c
50=2*20/c+20/c*c+2c

Now we solve for c:
50=40/c+20+2c
30=40/c+2c
30c-40-2c^2=0
2c^2-30c+40=0
c^2-15c+20=0
c1=13,52
c2=1,48

We got two solutions for c so we will get two solutions for b:
b1=1,48
b2=13,52

Now we know:
a=2cm
b=1,48cm
c=13,52cm

Formula for a diagonal is:
D= \sqrt{ a^{2} + b^{2} + c^{2} }  \\  \\ D= \sqrt{ 2^{2} + 1,48^{2} + 13,52^{2} }  \\  \\ D=13,74cm
8 0
3 years ago
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