Mx = (Ax + Bx)/2 My = (Ay + By)
6 = (7 + Bx)/2 5 = (10 + By)/2
12 = 7 + Bx 10 = 10 + By
5 = Bx 0 = By
(5,0)
S’(12,-20) T’(0,-8) U’(-12,-20)
The brick will fall to the ground after 9 secs.
<h3>What are quadratic equations?</h3>
Given the equation for height as a function of time is h(t) = -16t2 + 1,296
The height of the brick on the ground is h(t) = 0. Substitute h(t) = 0 into the equation as shown:
Subtract 1296 from both sides
-16t² + 1,296 - 1296 = 0 - 1296
16t² = 1296
t² = 1296/16
t² = 81
t = 9secs
Hence the brick will fall to the ground after 9 secs.
Learn more on equations here: brainly.com/question/13763238
Answer:
47.4167
D. The computed mean is close to the actual mean because the difference between the means is less than 5%
Step-by-step explanation:
Given the distribution :
Speed(m/hr) ___ midpoint(x) ___ F ___fx
42 - 45 _______ 43.5 ________21 __ 913.5
46 - 49 _______47.5 _________15 __712.5
50 - 53 _______ 51.5 _________6 __ 309
54 - 57 _______ 55.5 ________ 4 ___ 222
58 - 61 ________59.5 ________ 2 ___ 119
The midpoint, x= sum of lower and upper boundary divided by 2
For instance, (42 + 45) / 2 = 43.5
The computed mean, Σfx / Σf = 2276 / 48 = 47.4167
Actual mean = 47.3 miles
(47.4167 - 47.3) / 47.3 * 100% = 0.24%