You need to distribute the numerical factors for each term in the parenthesis:

This equals

Answer:
3
Step-by-step explanation:
You know that angle Y is a right angle because XY is the radius and YZ is a tangent to the circle. So, you can use the pythagorean theorem to find the third side:
XY^2+4^2=5^2
XY^2+16=25
XY^2=9
XY=3
Hope this was helpful! :)
Result: 4020342569677260278
Answer:
- Unit price of a 2-liter bottle of soda:

- Unit price of a case of twelve 12 ounce cans:

- The better bargain is the case of 12 ounce cans.
Step-by-step explanation:
Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y" the unit price (price/ounce) of the soda in the case of twelve 12 ounces cans.
According to the data provided in the exercise, you know that:
1. The 2-liter bottle of soda is equal to 67.6 ounces.
2. That bottle costs $1.89
Then, the unit price is:

3. There are 12 ounce cans in the case. Then the total ounces is:

4. It costs $2.99. So the unit price is:

Since:

The better bargain is the case of 12 ounce cans.
Answer:
x = 10
TU = 24
Step-by-step explanation:
To find the value of x, we use the trapezoid mid-segment theorem
The sum of the lengths of the two parallel sides is equal to twice the length of the mid segment
Mathematically, we have this as;
2(2x+ 4) = 2x-4 + 3x + 2
4x + 8 = 5x - 2
5x -4x = 8 + 2
x = 10
TU = 2x + 4 ; = 2(10) + 4 = 20 + 4 = 24