Mathematics, 14.10.2019 22:30 bakerx8529

Which system of inequalities has a solution set that is a line?

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Answer from: levy72

We're going to solve each of the systems to determine the solution.

System

$x+y \geq 3\\ x+y \leq 3$

using a graph tool

the solution is the line x+y=3

see the attached figure N

System

$x+y \geq -3\\ x+y \leq 3$

using a graph tool

the solution is the shaded area

see the attached figure N

System

$x+y 3\\ x+y < 3$

using a graph tool

The system has no solution

see the attached figure N

System

$x+y -3\\ x+y < 3$

using a graph tool

the solution is the shaded area

see the attached figure N

therefore

the answer is

System

$x+y \geq 3\\ x+y \leq 3$

Answer from: marieroberts8122

The system of inequality that has a solution set that is a line is:

$x+y\geq 3\\\\x+y\leq 3$

Step-by-step explanation:

We know that if:

$a\leq b$

and

$a\geq b$

Then the resulting equation from both the inequalities is:

a=b

Hence, from the option (A) we have:

$x+y\geq 3--------(1)$

and $x+y\leq 3-------------(2)$

Hence, the equation that is resulting from the above system of inequalities is:

x+y=3

( Since, the inequality (1) is a solid straight line passing through the point (0,3) and (3,0) and the shaded region is away from the origin, above the line.

and from inequality (2) we get a solid straight line passing through the point (0,3) and (3,0) and the shaded region is towards the origin, below the line )

Hence, the common region that satisfy from both the inequality is a line:

x+y=3

Answer from: Quest

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

#10 can anyone solve this for will give !

Answer from: Quest

answer: idk

step-by-step explanation:

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