Answer:
Step-by-step explanation:
The slope can be calculated using two points, (2, 60) and (4, 50) as shown below:
, where,
Plug in the values into the equation
We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575
</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]
For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]
Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]
BF and GH. They’re both in the same sides equal to eachother. The others aren’t
Answer:
17 in²
Step-by-step explanation:
area is equal to base multiplied to height by 2
base=3.23 in
height=5.12in
area of one triangle = 5.12 * 3.23/2
= 16.536/2
= 8.2688
these triangles are congruent so area of other triangle is also equal to 8.2688
total area= 2*8.2688
= 16.5376
round off
answer =17 in²