Answer:
s = 22.5 m
Step-by-step explanation:
the equation for the speed change of a coach moving along a straight section of the road and starting braking at a speed of 20 m / s has the form v (t) = 25-5t. Using integral calculus, determine the coach's braking distance.
v (t) = 25 - 5 t
at t = 0 , v = 20 m/s
Let the distance is s.

Let at t = t, the v = 20
So,
20 = 25 - 5 t
t = 1 s
So, s = 25 x 1 - 2.5 x 1 = 22.5 m
5x - 12y = 24 - it's a standard form of equation of a line
The slope-intercept form: y = mx + b
m - slope
b - y-intercept.
Convert the standard form to the slope-intercept form:
<em>subtract 5x from both sides</em>
<em>divide both sides by (-12)</em>

Answer: 
Answer:
(0, 11) is a solution.
(8, 12) is a solution.
(16, 13) is a solution
(1, 89/8)
(2, 45/4)
Step-by-step explanation:
y = 1/8x + 11
for this equation....
y = (1/8) x + 11
let x = 0 get
y = 0 + 11 = 11
(0, 11) is a solution.
(8, 12) is a solution.
(16, 13) is a solution
(1, 89/8) because y = 1/8 + 11 = 1/8 + 88/8 = 89/8
(2, 45/4)
Answer:

Step-by-step explanation:
The probability of matching the number drawn on the gold ball is

The number of possible pairs of numbers from 1 to 53 is

Choosing 5 numbers, you are choosing 10 different pairs:

Therefore the probability of correctly matching the drawn pair is

Thus, the probability of winning (matching the pair AND the gold ball) is
