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2 years ago

Monomials. Please help. I have a test (m^8)^5

Mathematics

1 answer:

cricket20 [7]2 years ago

8 0

Answer:

$m^{40}$

Step-by-step explanation:

$(m^8)^5=m^{8*5} =m^{40}$

Hope this helps!

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Show that <br><br> 4(m + 7) + (m + 3)^2 = (m + 3)(m + 7) + 16

anygoal [31]

Step-by-step explanation:

$4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37$

$R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}$

4 0

3 years ago

What is the correct answer? Please provide an explanation.

ryzh [129]

Answer:

A 270° rotation about point B'

Step-by-step explanation:

Rotation is clockwise so you can see that the final transformation is a rotation 270° clockwise

4 0

3 years ago

Read 2 more answers

How many minutes are there from 01:33hr to 03:18hr on the same day

goldfiish [28.3K]

3:18-1:33=188 so I think that’s ur answer

3 0

3 years ago

Read 2 more answers

Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library.

Natalija [7]

Answer:

12 miles

Step-by-step explanation:

From the graph given :

Mike's travel :

School to Mall= 16 miles

Mall to Library = 30 miles

Total travel = 16 + 30 = 46 miles

Henry's travel :

From school to Library = Hypotenus :

Distance can be obtained using Pythagoras :

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √(30² + 16²)

Hypotenus = √1156

Hypotenus = 34 miles

Difference in Distance covered :

(46 miles - 34 miles) = 12 miles

4 0

3 years ago

In a rectangle, the perimeter is 102 inches. The width of the rectangle is 9 inch more than half the

Harrizon [31]

perimeter = 2width + 2 length

102 = 2(x+9) + 2x

102 = 2x + 18 +2x

102 = 4x +18

84 = 4x

21 = x

Length = x = 21 inches

Width = x + 9 = 21 + 9 = 30 inches

7 0

3 years ago