Answer:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.
Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is
9/3 = 27/9 = 3
Therefore, the relationship is a direct variation and the function to model it is
y = 3x
Step-by-step explanation:
Answer:
6, 8
7, 9
1, 4
they are congruent (same angle measure)
Answer:
The answer is
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Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,2) and (7,6)
The midpoint is

We have the final answer as

Hope this helps you
Answer:
the answer is 8.334
Step-by-step explanation:
It takes 4.3 seconds for the rocket to return to earth.
The equation is:

where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:

We will use the quadratic formula to solve this. The quadratic formula is:

Plugging in our information we have:

x=0 is when the rocket is launched; x=4.3 is when the rocket lands.