Answer:
Step-by-step explanation:
think of the flight of a small rocket.. what does it seem like the parabola would look like? down means it looks like a cup or glass , upside down , up mean a cup or glass right side up.
when t = 0 the rocket is at 25, so that's the initial height
it's velocity is initially 200 m/s
put equation from std. form to vertex form
y = a
+ bx +c => y = a(x - h ) ^2 + k
h = -4.9
+ 200t + 25 =>h = -4.9(t - 20.41)^2 + 2,065.82
(h,k) = (20.41 , 2065.82)
Answer: 1 and 13
Step-by-step explanation: To find the factors of 13, begin by dividing 13 by 1 which gives us 13. This tells us that 1 and 13 are factors of 13.
13 is a prime number which means it only has two factors which are 1 and 13.
Step-by-step explanation:

We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:

Upon substituting the given values of angle A, and sides a and b, we get:

Upon solving this equation for B, we get:

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
9514 1404 393
Answer:
y +6 = (-1/3)(x +6)
Step-by-step explanation:
Given a point and a slope, it is appropriate to use the point-slope form to represent the equation:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For your point and slope, the equation is ...
y -(-6) = -1/3(x -(-6))
y +6 = -1/3(x +6)
__
Of course, this can be rearranged to whatever form you need.
y = -1/3x -8 . . . . slope-intercept form
x +3y = -24 . . . . standard form