Which expression is equivalent to √100 +4√10 +3 −8 √10? 1) −4√10 + 13
2) 10 − √10
3) 3 − 2√10
4) √10

√100 +4√10 +3 −8 √10 =  −4√10 + 13 TRUE

Step-by-step explanation:

Simplify the following:

sqrt(100) + 4 sqrt(10) + 3 - 8 sqrt(10)

Hint: | Simplify radicals.

sqrt(100) = sqrt(10^2) = 10:

10 + 4 sqrt(10) + 3 - 8 sqrt(10)

Hint: | Evaluate 10 + 4 sqrt(10) + 3 - 8 sqrt(10).

10 + 4 sqrt(10) + 3 - 8 sqrt(10) = 13 - 4 sqrt(10):

 13 - 4 sqrt(10)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation:

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