Answer:
y = 1/2 x + 8
Step-by-step explanation:
We are given the y intercept and the slope, so we can write the equation using the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 1/2 x + 8
V = l • w • h
V = 10 • 18 • 3
V = 540 in cubed
The point (4,y) has a known x coordinate of x = 4. The y coordinate is unknown right now so we'll just call it y.
Draw a vertical line (see side note below) through 4 on the x axis. I've done so in red (see attached image). The red line crosses the graph at the point (4,1) so this tells us that
y = 1Answer: y = 1
Side Note: you don't have to draw a vertical red line but it's handy to see how it works out. After you get used to these types of problems, you can visually be able to see the answer without these extra lines.
Answer:
Columns without leading 1's in a reduced row-echelon form of the augmented matrix are called free variables. So, yes it will have 2 free variables corresponding to the two columns without leading 1. In homogeneous system it remains true.
Answer:
Angle 1 = 70, Angle 2 = 90, Angle 3 = 70, Angle 4 = 70
Step-by-step explanation:
1. 90 -20 = 70
2. Diagonals are perpendicular and create right angles that equal 90
3 and 4. Diagonals bisect angles, angles on opposite sides are congruent