Answer:
y = 2x
Step-by-step explanation:
Let's first find the slope:
m = (y₂ - y₁)/(x₂ - x₁)
m = (6 - 4)/(3 - 2) = 2/1 = 2
Now let's use point-slope form:
y - y₁ = m(x - x₁)
(For x₁ and y₁, you can use either (2,4) or (3,6), but I'm gonna use (2,4))
y - 4 = 2(x - 2)
y - 4 = 2x - 4
y = 2x
That's your answer.
Hope this helps, and hope you learned something!
If the value of cos(θ) is negative, this angle (θ) can only be in one of two quadrants; the sine quadrant or the tan quadrant. In the sine quadrant, tan(θ) must be negative, but since tan(θ) > 0, we can safely say that the angle (<span>θ) is based in the tan quadrant.
We know that cos(</span><span>θ) = - Adjacent / Hypotenuse, and in this case Adjacent = 2 and Hypotenuse = 5. Using Pythagoras' theorem, we can find the opposite side of the right angled triangle situated in the tan quadrant...
</span>Adjacent² + Opposite² = Hypotenuse²
Therefore:
2² + Opposite² = 5²
Opposite² = 5² - 2²
Opposite² = 21
Opposite = √(21)
------------
Now, sin(θ) must be negative, as the right angled triangle is in the tan quadrant. We also know that sin(<span>θ) = Opposite / Hypotenuse, therefore:
sin(</span><span>θ) = - [</span>√(21)]/[5]
Area of the board divided by the time
2 x 3 = 6ft^2
15/6= 2.5mins
Answer:
0.29
Step-by-step explanation:
z-score is given by the formula:
z=(μ-M)/σ where
- μ is the hypothesis drive distance, which is 222
- M is the mean sample drive distance
- σ is the standard deviation of the sample drive distance
Therefore
z=(222-218)/14≈0.29
