Answer:
Consistent and Independent System
Step-by-step explanation:
A system with at least one solution is a consistent system. A consistent system is said to be independent if it has <u>exactly one solution</u> (often referred to as the <em>unique</em> solution). The graphs intersect at exactly one point, which gives an ordered-pair (x, y) as the solution of the system.
Answer:
His error is multiplying by 4 sides as he thought it was total surface not lateral surface area- the final answer is 12
Step-by-step explanation:
He should have multiplied it by 3, because the 3 sides- not including the base- is what lateral surface area is. He originally did total surface area not lateral surface area so each sides area is 4m squared then you just multiply it by 3 and its 12
Answer:
y = -1/5 x + 2
Step-by-step explanation:
y = 5x - 4
m = 5
Slope of perpendicular = -1/5
Equation of perpendicular:
y = mx + b
y = -1/5 x + b
Use point (15, -1) for x and y, and solve for b.
-1 = -1/5(15) + b
-1 = -3 + b
b = 2
Equation of perpendicular:
y = -1/5 x + 2
Answer:
Graph 1 is not proportional
Graph 2 is proportional - y is 2 times x
Step-by-step explanation:
In graph 1, there is no x-y correlation
In graph 2, there is, when x=1, y=6
when x=2, y=12. Therefore, when x=3 y would equal 18.
Answer:
y = (1/3)x
Step-by-step explanation:
If this is truly a line, then we can find its equation using any two of the three given points. If we go from (3, 1) to (27, 9), x increases by 24 and y increases by 8. Thus, the slope of this line is m = rise / run = 8 / 24, or m = 1/3.
Using the point (3, 1) and the slope m = 1/3, the slope-intercept form y = mx + b becomes 1 = (1/3)(3) + b. Thus, b = 0, and the line is y = (1/3)x.
