Answer:
The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.
Step-by-step explanation:
Statement is incorrect. Correct form is presented below:
<em>The height </em>
<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>
<em>, where </em>
<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>
We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:
![3+90\cdot t -16\cdot t^{2} = 84](https://tex.z-dn.net/?f=3%2B90%5Ccdot%20t%20-16%5Ccdot%20t%5E%7B2%7D%20%3D%2084)
(1)
By Quadratic Formula:
![t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}](https://tex.z-dn.net/?f=t_%7B1%2C2%7D%20%3D%20%5Cfrac%7B90%5Cpm%20%5Csqrt%7B%28-90%29%5E%7B2%7D-4%5Ccdot%20%2816%29%5Ccdot%20%2881%29%7D%7D%7B2%5Ccdot%20%2816%29%7D)
,
The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.
Answer:
it is when two triangles are similar to each other in every way.
Mainly there are 4 TYPES OF CONGRUENCY.(A.A.S, S.S.S, R.H.S, S.A.S )
0.1875 you must divide 3 by 16 the numerator by the denominator
Answer:
Step-by-step explanation:
True
Answer:
a^4+3a^2-3b^2
Step-by-step explanation:
![\hookrightarrow \: (2 {a}^{2} - b)(3 {a}^{2} + 3b) \\ \hookrightarrow \:2 {a}^{2} (3 {a}^{2} + 3b) - b(3 {a}^{2} + 3b) \\ \hookrightarrow \:6 {a}^{4} + 6 {a}^{2} b - 3 {a}^{2} b - 3 {b}^{2} \\ \hookrightarrow \:{a}^{4} + 3 {a}^{2} b- 3 {b}^{2}](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%20%282%20%7Ba%7D%5E%7B2%7D%20%20-%20b%29%283%20%7Ba%7D%5E%7B2%7D%20%20%2B%203b%29%20%5C%5C%20%20%5Chookrightarrow%20%5C%3A2%20%7Ba%7D%5E%7B2%7D%20%283%20%7Ba%7D%5E%7B2%7D%20%20%2B%203b%29%20-%20b%283%20%7Ba%7D%5E%7B2%7D%20%20%2B%203b%29%20%5C%5C%20%20%5Chookrightarrow%20%5C%3A6%20%7Ba%7D%5E%7B4%7D%20%20%2B%206%20%7Ba%7D%5E%7B2%7D%20b%20-%203%20%7Ba%7D%5E%7B2%7D%20b%20-%203%20%7Bb%7D%5E%7B2%7D%20%5C%5C%20%20%20%5Chookrightarrow%20%5C%3A%7Ba%7D%5E%7B4%7D%20%20%2B%203%20%7Ba%7D%5E%7B2%7D%20b-%203%20%7Bb%7D%5E%7B2%7D)