BRAINLIEST!!! 18. Point p is chosen at random on EH. Find the probability that p is on FG.

Mathematics

2 answers:

lisov135 [29]2 years ago

6 0

Answer:

2/5

Step-by-step explanation:

Line EH has three line segments:

EF which measure 4

FG which measures 6

GH which measures 5

The total measure of the line (EH) = 4 + 6 + 5 = 15

So if we are calculating the probability of landing on FG,

6 / 15

Reduce the fraction to make,

2 / 5

shepuryov [24]2 years ago

5 0

Answer:

$\frac{2}{5}$

Step-by-step explanation:

The total length of this line is 15 units. FG is 6 units long.

This means that the probability of p being on FG would be $\frac{6}{15}$ which can be simplified to $\frac{2}{5}$

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a) The vertex of the graph is $(h,k) = (0, 31)$ , b) $a = -16$ , c) The equation of the parabola is $f(t) = -16\cdot t^{2}+31$ .

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is $(h,k) = (0, 31)$ .

b) If we know that $(h,k) = (0, 31)$ , $f(t) = a\cdot (t-h)^{2} + k$ and $(t,f(t)) = (1,15)$ , then the value of $a$ is: