Answer:
For the triangle, the area is 7.5 in.
For the trapezoid, the area should be 90 cm
Step-by-step explanation:
The formula for a triangle is A=1/2bh and for a trapezoid it is (a+b)/2×h
Answer:
buying things that you really like
or setting and sticking to a budget
To find the slope, use the equation of a line: 
Plug in the values for x and y:

We know that 2 can fit into 5 twice, which means 2*2 is 4.
We now have
.
If 5 is b more than 4, then this means that 4 is b less than 5. Subtract 4 from both sides, and you will have b = 1.
This means your equation is y = 2x + 1.
There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
Answer:
1,11,13,17,143,187,221,2431
Step-by-step explanation: