Graph this compound inequality 2.5 is equal to or less than x is equal to or less than 4.5
2.5 <= x < = 4.5
We graph this inequality using number line.
Here x lies between 2.5 and 4.5
While graphing, we start with closed circle at 2.5 because we have equal symbol .
Then shade till 4.5. Use closed circle at 4.5.
The graph is attached below.
Answer:
Step-by-step explanation:
The graph shows the solution (-6,2)
i.e at x= -6 y=2
Analysis of each of the answers, since we can't write the equation of a straight line with only that information i.e the single point
Then,
Option 1
1. 2x - 3y = -6
x= -6 y=2
Then let insert x=-6 and y =2
2(-6)-3(2)
-12-6
-18.
Since -18 ≠ -6, then this is not the equation of the line and doesn't make up the system
Option 2
2. 4x - y = 26
Inserting x=-6 and y=2
4(-6)-(2)
-24-2
-26
Since -26 ≠ 26, then this is not the equation of the line and doesn't make up the system
Option 3
3. 3x + 2y = -14
Inserting x=-6 and y=2
3(-6)+2(2)
-18+4
-14
Since -14 ≠ -14 then this is the equation of the line and it make up the system.
Option 4
x-y = -2
Inserting x=-6 and y=2
(-6)-(2)
-6-2
-8
Since -8≠ -2, then this is not the equation of the line and doesn't make up the system
Option 5
5. x+y=-4
Inserting x=-6 and y=2
(-6)+(2)
-6+2
-4
Since -4 ≠ -4, then this is the equation of the line and it makes up the system.
Then, there are two option that make up the system
3. 3x + 2y = -14
And
5. x+y=-4
Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:
And for the y-coordinate, we have:
The car's displacement in vector form is:
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!
Well all triangles have an area of 180 degrees, therefore X=39 because 102+39=141 and 180-141=39.
