Astronomers deal with objects in space, so it's most likely they would use geometry to determine how far they are, how big they are, etc.
Have a nice day! :)
Answer:
y = -
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m =
=
= - 
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = -
x + 2 ← equation of line
Answer:
Just the second one is correct
Answer:
40
Step-by-step explanation:
9a + 9b + 9c = 5
Multiply the equation by 8
8*(9a + 9b + 9c )= 5*8
Distribute
72a +72b +72 c = 40
To solve this problem, let us first assign variables. Let
us say that:
A = runner
B = cyclist
d = distance
v = velocity
time = t
The time in which the cyclist overtakes the runner is the
time wherein the distance of the two is the same, that is:
dA = dB
We know that the formula for calculating distance is:
d = v t
therefore,
vA tA = vB tB
Further, we know that tA = tB + 2, therefore:
vA (tB + 2) = vB tB
4 (tB + 2) = 14 tB
4 tB + 8 = 14 tB
10 tB = 8
tB = 0.8 hours = 48 min
Therefore the cyclist overtakes the runner after 0.8
hours or 48 minutes.