Given: Points (-9, 6) and (-3, 9)
Find: The slope of the line that goes through those two points
Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula. This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.
<u>Plug in the values</u>
<u>Simplify the expression</u>
Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.
138 x ? = 75
? = 75/138 = 0.544(3sf)
so about 54.35% (2dp) decrease
Answer:
Step-by-step explanation:
time taken to reach the max height is expressed according to the projectile equation;
tmax = u/g
Given u = 30m/s
g is the acceleration due to gravity = 9.81
t = 30/9.81
t = 3.0secs
hence it will take the flare 3.06secs to reach its maximum height.
Max height = u²/2g
Max height = 30²/2(9.81)
Max height = 900/19.62
Max height = 45.87m
If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m
The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
<h3>What is the area of the circle?</h3>
The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,
Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.
Put this value in the above formula to find the area of the circle as,
Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
Learn more about the area of the circle here;
brainly.com/question/402655
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Answer:
x = 57°
Step-by-step explanation:
The angle not 76° or x° is 180-133 which is 47°. A triangles angles always sum up to 180° so:
76°+47°+x°=180°
123°+x°=180°
x°=57°
