Answer:
n=2
Step-by-step explanation:
25n=2×25
Divide each side by 25
25n/25=2×25/25
n = 2 * 25/25
n =2
Answer:
8.89cm
Step-by-step explanation:
The ratio is 16:9 (which is one of the most common in TVs)
9:5=16:x
x=(16*5)/9
x=8.88....=8.89
Answer:
number 3 or 2
Step-by-step explanation:
9514 1404 393
Answer:
y = 1/3x +6
Step-by-step explanation:
The slope of the given line is the coefficient of x, -3. The slope of the perpendicular line will be the opposite reciprocal of that:
-1/(-3) = 1/3
The point-slope equation is then ...
y -k = m(x -h) . . . . . for line of slope m through point (h, k)
Here, we have m = 1/3, (h, k) = (-3, 5), so the point-slope equation is ...
y -5 = 1/3(x +3)
y = 1/3x + 1 + 5 . . . . eliminate parentheses, add 5
y = 1/3x +6 . . . . slope-intercept equation of the line
Answer:
Yes, see below.
Step-by-step explanation:
Convert the equation to vertex form to find the maximum height:
h = -16t2 + 64t + 5
= -16(t^2 - 4t) + 5
= -16 [(t - 2)^2 - 4] + 5
= -16( t - 2)^2 + 64 + 6
= -16(t - 2)^2 + 69.
So the maximum height the rock reaches is 69 feet.
This height is reached at 2 time seconds.