Looking at this triangle, we can see that is a form of a 45, 45, 90 triangle
This would mean that 2x-24=x-2
Solve: 2x-24=x-2
subtract x from both sides and add 24 to both sides...
x=22

6 0

3 years ago

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

Korolek [52]

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

System $1$

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

using a graph tool

the solution is the line $x+y=3$

see the attached figure N $1$

System $2$

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

using a graph tool

the solution is the shaded area

see the attached figure N $2$

System $3$

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

using a graph tool

The system has no solution

see the attached figure N $3$

System $4$

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

using a graph tool

the solution is the shaded area

see the attached figure N $4$

therefore

the answer is

System $1$ 

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

7 0

3 years ago

Read 2 more answers

If x > 0, which of the following is positive? 1. -x 2. x^2 3. (-x)^3 4. 1/-x

lapo4ka [179]

Answer:

$x^2$

Step-by-step explanation:

$x > 0~\text{means that x is positive number.}$

$\text{Square of both negative and positive numbers are always positive.}\\\\\text{So,}~ x^2~\textbf{is positive.}$

3 0

2 years ago