Answer: 0.64sec
Step-by-step explanation:
h= -16t2 + t + 6
a= -16 b=1 c= 6
Using the quadratic equation formular
X = -b ± √b2 - 4ac / 2a
X= -1 ± √1^2 - 4(-16)6 / 2(-16)
=-1 ±√1+384 / -32
= -1 ±√385 / -32
Either X = -1 + 19.62 / -32
= 18.62 /-32
=-0.58 sec
Or X = -1-19.62 / -32
= -20.62 / -32
= 0.64sec
Since there is no negative time, therefore our answer is 0.64sec
The slope intercept form of a line is y = mx + b
Plug in the slope, 6, into m.
Rewrite the equation;
- y = 6x + b
- We need to find b, your y-intercept, to finish this equation.
Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.
Solve for b to find the y-intercept.
Your new equation (your answer) is<em> </em>y = 6x + 58.
Step-by-step answer:
Referring to the attached diagram, the resultant of two forces each with magnitude F and inclined to each other at 2a equals
Ra = 2Fcos(a) ..............................(1)
Similarly, the resultant of two forces each with magnitude F and inclined to each other at 2b equals
Rb = 2Fcos(b)..............................(2)
We are given that
Ra = 2Rb ....................................(3)
Substitute (1) & (2) in (3) gives
2Fcos(a) = 2(2Fcos(b))
Expand
2Fcos(a) = 4Fcos(b)
Simplify
cos(a) = 2 cos(b) QED
Note: Please note that you might have a faster response if you posted this question in the physics or the (new) Engineering section.
Have a nice day!
He wants the page to have one of each of the four varieties on it. There are 9 daisies to choose from, 7 roses, 5 dandelions, and 2 pansies, so there are
9*7*5*2 = 630
ways of arranging one of each on the page.
