Answer:The solution is in the attached file
Step-by-step explanation:
Answer:
Hey there!
For the first question we use the triangle area formula: 1/2bh, or 1/2(8)(5). This gives us 20 for the area.
For the second question we get a trapezoid, since the cross section does not pass through the vertex.
Hope this helps :)
Answer:
x = -0.17 and x = -5.83
Step-by-step explanation:
We are asked to solve the quadratic equation

We use the quadratic formula using a = 1, b = 6 and c = 1
for a general quadratic equation of the form: 
Then, the solutions are given by;

which produces the two following answers (rounded to two decimals):
x = -0.17 and x = -5.83
The generic equation of the line is:

Where,
m: slope of the line
(T0, H0): ordered pair belonging to the line.
The slope of the line is:

Substituting values we have:

Rewriting:


Then, choosing an ordered pair we have:

Substituting values we have:

Rewriting the equation:

Then, for 8 hours we have:
Answer:
a linear equation to model the relationship between height H of the candle, and T time is:
the candle will be 12 inches after burning 8 hours