This is what we know:4x^2 + 12x + c = (2x + k)^2
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4x^2 + 12x + c = 4x^2 + 2kx + 2kx + k^2
c=9
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The problem is modelled in the first picture shown below
To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.
We use the cosine rule to work out the length AB




(nearest whole number)
The third picture shows the full diagram of the vectors
To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B
Angle A






(rounded to nearest whole number)
Angle B

Direction is 60° toward negative x-axis
Answer: Magnitude 130N and direction 60° toward negative x-axis
Answer:
A ski lift is modeled by the function f(x) = (0.2)(–2x 3 + 23x 2 + 25x + 50), where x is the time in seconds. When it comes out of the first stop, it is now climbing toward its highest point from the ground. During which time interval will the ski lift reach a height over 50 feet above the ground?
888 bananas, you can uses ratio or proportion to solve it; 444/121212:X/242424, 444*242424 and divide that by 121212 and you get 888. Hope this helps! :)
Answer:
Step-by-step explanation:
x=81
63+36+x=180
99+x=180
99+81=180
y and z both equal 81
13+y+z=180
180-13=167
167/2 is 83.5
13+83.5+83.5
13+167
180