Answer:
(5, -9).
Step-by-step explanation:
The vertex if (h, k).
So for 6(x - 5)^2 - 9 the vertex is the point (5, -9).
Answer:no
Step-by-step explanation: Each crate is 15.5 pounds there is only 3 crates therefor 3 crates weighing 15.5 pounds each would only weigh 46.5 pounds all together
Answer:

Step-by-step explanation:
Let
x ----> represents the number of 3-point field goals
y ----> represents the number of 2-point field goals
we know that
The number of 3-point field goals multiplied by 3 plus the number of 2-point field goals multiplied by 2 plus the number of free throws (4) multiplied by 1, must be equal to 27 points
so
The equation that represent this situation is

Answer:
The slope is -2
Step-by-step explanation:
Given



Required
The slope (m)
Slope is calculated as:

So, we have:



3.122
The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.
Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK
This means MLJ = 31 degrees since they add up to 61 degrees.
Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.
3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL =

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.
Tan(angle) = opp/adj
Tan(31) = MJ/


Tan(31) = MJ
3.122 = MJ