Answer:
y = 3
General Formulas and Concepts:
- Reading a Cartesian Plane
- Reading and labeling coordinates
Step-by-step explanation:
The question is asking us what the y-value is when x = -2.
According to the graph, when x = -2, y = 3.
Therefore, y = 3.
Answer: B. 9/25
Work Shown:
x% = x/100
36% = 36/100
36% = (9*4)/(25*4)
36% = 9/25
Using your calculator, you should find that 9/25 = 0.36 which converts to 36%, so that helps confirm the answer.
Answer:
126 inches
Step-by-step explanation:
C = 2π·r = π·d = 3.14×40in = 125.6 inches ≈ 126 inches
Answer:
2√61/19
Step-by-step explanation:
sin^2 x = 1 - cos^2 x
= 1 - (3√13/ 19)^2
= 1 - 117/361
= 244/361
sin x = √244/19
= 2√61/19.
A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms
Balls height ![h= 2 +9t -5t^2](https://tex.z-dn.net/?f=%20h%3D%202%20%2B9t%20-5t%5E2%20)
To find all values of t for which the ball's height is 3 meters
We plug in 3 for h and solve for t
![h= 2 +9t -5t^2](https://tex.z-dn.net/?f=%20h%3D%202%20%2B9t%20-5t%5E2%20)
![3 = 2 +9t -5t^2](https://tex.z-dn.net/?f=%203%20%3D%202%20%2B9t%20-5t%5E2%20)
Solve for t
![0= -1+ 9t -5t^2](https://tex.z-dn.net/?f=%200%3D%20-1%2B%209t%20-5t%5E2%20)
![5t^2 - 9t + 1 = 0](https://tex.z-dn.net/?f=%20%20%20%205t%5E2%20-%209t%20%2B%201%20%3D%200%20)
Solve using quadratic formula
![t= \frac{-b+- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20t%3D%20%5Cfrac%7B-b%2B-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%20)
![t= \frac{9+- \sqrt{(-9)^2-4*5*1} }{2*5}](https://tex.z-dn.net/?f=%20t%3D%20%5Cfrac%7B9%2B-%20%5Csqrt%7B%28-9%29%5E2-4%2A5%2A1%7D%20%7D%7B2%2A5%7D%20%20)
After simplifying this,
= 0.11898
= 1.68102
the values of t for which the ball's height is 3 meters= 0.12 sec , 1.68 sec