Answer:
- equation: y = x+3
- inequality: y < x+3
Step-by-step explanation:
The slope of the line is 1 unit of rise for 1 unit of run, so ...
m = rise/run = 1/1 = 1
The y-intercept is 3 grid lines above the x-axis, so is (0, 3).
Then the equation of the line is ...
y = 1x +3
The inequality has that line as a boundary, but the y-values on the line are not part of the solution space. Only y-values below the line (less than those on the line) are in the solution. The inequality is ...
y < x +3
1. The segment LO bisects one of the angles of the triangle shown in the figure attached, and divide the segment NM in two segments: NO and OM. Therefore, you must apply the Triangle Angle Bisector Theorem, which is shown below:
LN/LM=NO/OM
LN=10
LM=18
NO=4
OM=x (The value you want to find)
2. When you substitute this values in LN/LM=NO/OM, you have:
10/18=4/x
10x=(18)(4)
x=(18)(4)/10
x=72/10
3. Finally, you obtain:
x=7.2
The answer is: The value of "x" is 7.2
Answer:
x-3
Step-by-step explanation:
f(x) = 3x-2
g(x) = 2x + 1
(f-g)(x) = 3x-2 - (2x+1)
Distribute the minus sign
=3x-2-2x-1
Combine like terms
= 3x-2x-2-1
=x-3
Answer:
Rhombuses
Step-by-step explanation:
It has four vertical lines, then draw a Venn Diagram, opposite to opposite.
Order from Venn Diagrams:
Quadrilaterals
Rectangles
Squares
Rhombuses.
Answer:
b)-15 ÷ 5
It's the only one that ends up with a negative answer, which makes sense because the temperature decreases