Answer:
10 pair of soccer shorts.
Step-by-step explanation:
Let the unknown be x.
Translating the word problem into an algebraic equation, we have;
2/5 yard = 1 pair of short
4 yard = x pair of short
Cross-multiplying, we have;
2x/5 = 4
Multiplying both sides by 5, we have;
2x = 20
x = 20/2
x = 10 pair of soccer shorts.
Problem 13
If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.
- Example: x^3 times x^3 = x^6 in the top left corner
- Another example: 2x times x = 2x^2 in the bottom right corner.
This is known as the box method to keep track of all the terms multiplied.
Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).
The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2
Hello! For this question, we will have to subtract fractions. In order to do this, we will have to convert the fractions into the same denominator. We do this by finding the LCD of the two numbers. In other words, we find the LCM. The LCM of 5 and 4 is 20. 4/5 converts to 16/20, and 1/4 converts to 5/20. Let's subtract these numbers like we would regular numbers. 6 16/20 - 3 5/20 is 3 11/20. There. Jordan bought 3 11/20 yards more pink ribbon than purple ribbon.
Answer:
x >8
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given

Required
Determine KBC
Since BK is a bisector of ABC at B,
this implies that:

Substitute 28.3 for ABK

Reorder
