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Answer:
a) b = -5
b) slope = 3/2
Explanation:
a) The equation of a line is given as y = mx + b, where m is the slope of the line and b is the intercept on the y axis.
Given that y = 3x + b and it passes through the point (2, 1). Hence when x = 2, y = 1. Therefore, substituting for x and y:
1 = 3(2) + b
1 = 6 + b
b = 1 - 6
b = -5
b) The equation of a line passing through two points (
) and
is given by:

The equation of the line passing through the two points (0,3) and (4,9) is:

Comparing y = (3/2)x + 3 with y = mx + b, the slope (m) is 3/2
Answer
The same number of particles in a gas spread further apart than in the liquid or solid states.
Explanation:
The same number of particles in a gas spread further apart than in the liquid or solid states. The same mass takes up a bigger volume. This means the gas is less dense. Density also depends on the material.
Answer:
even if it all could be used, it wouldn't be enough
Explanation:
The land area of the US is about 5.45% of the world's area, so the amount of released heat over the area of the US is on the order of 2.4 Tw. Current technology for converting geothermal energy to electricity is about 12% efficient, so the available energy might amount to 0.29 Tw if it could all be captured.
Energy consumption in the US in 2019 was on the order of 0.46 Tw. This suggests that even if <em>all</em> of the thermal energy radiated by the Earth from the US could be turned to useful forms of energy, it would meet only about 60% of the US need for energy.
Answer:
The statement that the net magnetic field at the center of this square is zero is false.
The net magnetic field inside a conductor must be zero - This is a true statement
Explanation:
The net magnetic field at the center of this square is not equal to zero.
The net magnetic field at the center of this square is given by the equation below:
B = 2√2μ₀I/πₐ
Where a = the side of the loop, and I is the current.
Thus, the statement that the net magnetic field at the center of this square is zero is false.
The net magnetic field inside a conductor must be zero - This is a true statement because the total charge on the conductor must be equal to zero.