By using any two of the points in the table, we will see that the slope is -2.
<h3>
How to get the slope for the linear relationship?</h3>
A general linear relationship is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:
Here we can use the first two points on the table:
(-4, 11) and (2, -1), so the slope is:
Then the slope of the line is -2.
If you want to learn more about linear relationships:
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Step-by-step explanation:
9 × 10 + 22 = 112
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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)
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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]
Answer:
9,5 ms porque es la distancia inicial de la caída de los objetos en la tierra
Answer:
Step-by-step explanation:
First, subtract 180 and "12x-3", which equals 180-12x+3
Then add 46, "5x+7", and "180-12x+3"
46+5x+7+180-12x+3 = 180
Since the degrees in a triangle add up to 180 degrees, cancel out the 180 degrees from this side "180-12x+3" and the other side "180"
46+5x+7-12x+3=0
46+10-7x=0
56=7x
X = 8