Answer:
x=40
Step-by-step explanation:
first you simplify both sides of the equation, then you isolate the variable
40/4= 10
10 times 3/2 = 15
<u>Given</u>:
The height of the bird at time t is given by the function ![h(t)=-4.9t^2+6t+50](https://tex.z-dn.net/?f=h%28t%29%3D-4.9t%5E2%2B6t%2B50)
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;
![0=-4.9t^2+6t+50](https://tex.z-dn.net/?f=0%3D-4.9t%5E2%2B6t%2B50)
Switch sides, we get;
![-4.9t^2+6t+50=0](https://tex.z-dn.net/?f=-4.9t%5E2%2B6t%2B50%3D0)
Let us solve the equation using the quadratic formula.
Thus, we get;
![t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-6%20%5Cpm%20%5Csqrt%7B6%5E%7B2%7D-4%28-4.9%29%2050%7D%7D%7B2%28-4.9%29%7D)
Simplifying, we get;
![t=\frac{-6 \pm \sqrt{36+980}}{-9.8}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-6%20%5Cpm%20%5Csqrt%7B36%2B980%7D%7D%7B-9.8%7D)
![t=\frac{-6 \pm \sqrt{1016}}{-9.8}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-6%20%5Cpm%20%5Csqrt%7B1016%7D%7D%7B-9.8%7D)
![t=\frac{-6 \pm 31.87}{-9.8}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-6%20%5Cpm%2031.87%7D%7B-9.8%7D)
The values of t are given by
and ![t=\frac{-6 - 31.87}{-9.8}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-6%20-%2031.87%7D%7B-9.8%7D)
and ![t=\frac{-37.87}{-9.8}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-37.87%7D%7B-9.8%7D)
and ![t=3.9](https://tex.z-dn.net/?f=t%3D3.9)
Since, the value of t cannot be negative, then ![t=3.9](https://tex.z-dn.net/?f=t%3D3.9)
Thus, the time taken by the bird to eat the worm is
seconds.
Hence, Option B is the correct answer.
Answer:
40
Step-by-step explanation:
11x+13=90
11x=77
x=7
49-9=40
Height of the kite from the ground = 50 feet
Angle at which the kite is flying = 45 degrees
Let us assume the length of the string = x feet
Then
x = 50 * (square root 2)
= 50 * 1.414
= 70.7 feet
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the second option or option "b".
Answer:
C. Tiffany, born in 1973 in Nebraska, has lived in the U.S. for 45 years
Step-by-step explanation:
its right bro