Answer:
(A)24 cm2
Step-by-step explanation:
3a+b+c
The perimeter is two times one side (to account for the opposite) and two times the adjacent side. So if the sides would be x and y, the perimeter would be 2*x + 2*y.
So, knowing that the sum is 16a+8b-6c, if we subtract the given side 5a+3b-4c from this, what remains is two times the "other" side:
16a+8b-6c - 2*(5a+3b-4c) =
16a+8b-6c -10a-6b+8c =
6a+2b+2c
half of that is
(6a+2b+2c)/2 = 3a+b+c
Answer:
The time taken for the flare to hit the ground is approximately 10.7 seconds.
Step-by-step explanation:
Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation
models the h height at t seconds of the flare.
To find : How long will it take for the flare to hit the ground?
Solution :
The equation
models the h height at t seconds of the flare.
The flare to hit the ground when h=0.
Substitute in the equation,
![-16t^2+ 160t + 120=0](https://tex.z-dn.net/?f=-16t%5E2%2B%20160t%20%2B%20120%3D0)
Applying quadratic formula, ![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Where, a=-16, b=160 and c=120
![x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-160%5Cpm%5Csqrt%7B160%5E2-4%28-16%29%28120%29%7D%7D%7B2%28-16%29%7D)
![x=\frac{-160\pm\sqrt{33280}}{-32}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-160%5Cpm%5Csqrt%7B33280%7D%7D%7B-32%7D)
![x=\frac{-160\pm 182.42}{-32}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-160%5Cpm%20182.42%7D%7B-32%7D)
![x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-160%2B182.42%7D%7B-32%7D%2C%5Cfrac%7B-160-182.42%7D%7B-32%7D)
![x=−0.70,10.70](https://tex.z-dn.net/?f=x%3D%E2%88%920.70%2C10.70)
Reject the negative value.
Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.
Answer:
-3
Step-by-step explanation:
consider f(x)=y
y=-3x+7
compare with y=mx+c
slope m=-3
We know that for all B:
![\csc\text{B}\in(-\infty,-1]\cup[1,\infty)](https://tex.z-dn.net/?f=%5Ccsc%5Ctext%7BB%7D%5Cin%28-%5Cinfty%2C-1%5D%5Ccup%5B1%2C%5Cinfty%29)
So the answer is 0,5 (b.)