Answer:
12 cm
Step-by-step explanation:
The formula for the area of a trapezoid is written as:
1/2(b1 + b2)h
h = height = 16 cm
b1 = Length of one parallel side = 9cm
b2 = Length of second parallel side = ?
Area of trapezoid = 168cm²
The formula to find the length of the second parallel side =
b2 = 2A/h - b1
b2 = 2 × 168/16 - 9
b2 = 336/16 - 9
b2 = 21 - 9
b2 = 12cm
Therefore, the length of the second parallel side is 12 cm
<h2>
Hello!</h2>
The answer is:
The answer is the fourth option,

<h2>
Why?</h2>
Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.
We are given the piecewise function:

There, we know that:
We should use the first expression if the value to evaluate is less than -2.
So, for this case, the function will be:

We should use the second expression if the value to evaluate is greater or equal than 2.
So, for this case, the function will be:

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

So, evaluating the function we have:



Hence, we have that the answer is the fourth option,

Have a nice day!
Answer:
Option D. Marcelina spends less that the intended amount of money and buy less than enough corn
Step-by-step explanation:
Let
x----> is the amount of white corn she buys
y ---> is the amount of yellow corn she buys
we know that
She needs to buy 50 kg of corn in total
so
----> equation A
She wants to spend $12 dollars total
so
----> equation B
The solution of the system of equations is the intersection point both graphs
The solution is the point (30,20)
That means
Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn
we have the ordered pair F(15.15)
That means
15 kg of white corn and 15 kg of yellow corn
therefore
Total kg of corn bought is


Total spend is


therefore
Marcelina spends less that the intended amount of money and buy less than enough corn