Fill in the 3 blank boxes

Mathematics

1 answer:

Ket [755]2 years ago

6 0

First one is 1 x 10^6
second is 2 x 10^8
third one is 157 times

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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

2 years ago

Please help with these 2 questions :(( I really will appreciate it a lot

Art [367]

Answer:

Step-by-step explanation

DO NOT CHANGE YOU ANSWER. it is perfectly fine

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2 years ago

Is 50 a perfect square ? Explain your answer please

xeze [42]

No, 50 is not a perfect square. A perfect square is any number that can be divided by any number to get the quotient as the same number AND the quotient must be rational. When you divide 50 so that the quotient equals the divisor, you will get an irrational number. Therefore, 50 is not a perfect square.

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3 years ago

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Lebron wants to put a fence around a community garden plot. The plot is a rectangular shape with a length twice as long as its w

tatyana61 [14]

Answer:

60 feet of fencing

Step-by-step explanation:

Let x feet be the width of the garden plot, then 2x feet is the length of the garden plot.

The area of the garden plot is

$A=x\cdot 2x\\ \\200=2x^2\\ \\100=x^2\\ \\x=10\ feet\\ \\2x=20\ feet$