Answer:
(-2, 4)
Step-by-step explanation:
~When reflecting a point of the x-axis, the x value (or first number inside the parenthesis) does not change.
The reason the x-value does not change is because you are reflecting over the x-axis, making the point go up or down. That will change the y-value but the x-value only changes if you move to the left or the right. In this case, you can see that the point's x-value is -2, so that will not change. It's current y-value however is -4. When reflecting over an axis, the number that is changing (in this case the y-value) will just be flipped from positive to negative, or vise versa. In this case, -4 will be reflected to be 4, making point C reflected over the x-axis (-2, 4).
Answer:
30 belongs to the set of real numbers, the set of rational numbers, the set of whole numbers, the set of natural numbers and the set of integers.
Step-by-step explanation:
Answer: His checking account balance is $2,800.
Step-by-step explanation: What Hayden is doing is comparing his assets against his liabilities. This will determine his net worth. His assets ideally are those that increase his net worth such as landed properties, etc while his liabilities in the simplest language are those debts he is paying off either right away, or that he must pay off eventually.
In other words, to determine his net worth, Hayden has to add up all his assets and from the total derived, deduct his liabilities.
Consider the calculations below;
NET WORTH: $17,550
Add ASSETS
Automobile 13600
Retirement Account 6700
Checking Account XX
Less LIABILITIES
Student Loan 4800
Credit card debt 750
Net Worth <u>17550</u>
The above table can be simplified as follows;
Net worth = Assets - Liabilities
17550 = 20300 + XX - 5550
Collecting like terms, you now have;
17550 -20300 +5550 = XX
2800 = XX
The Checking Account represented by XX is now calculated as $2,800
Answer:
Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:
The area of the triangle is 1/4 of this. Therefore:
The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:
Since DE = DF:
Thus:
Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:
Therefore:
Square:
Add:
And finally, we can take the square root of both sides:
You would do 2 divided by 9 to get that each person would have 2/9 of a gallon or .22 of a gallon. I hope this helps.
