So, the first thing that you have to do is figure out what fraction of the money Steven deposited in his checking account. If he deposited 1/3 into his savings account, you would subtract that fraction from the whole (1) to get 2/3.
Now, you know that Steven deposited 2/3 of $4285.68 into his checking account. You multiply these two things together, to find the total amount Steven deposited in his checking account.
2/3 * 4285.68 = 2857.12
Your final answer is that Steven deposited $2857.12 into his checking account.
x^3y^3 + 343
The way the sum of cubes works is by taking the roots of each term and applying the formula.
The sum of cubes is as follows:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, we would display it like this:
x^3y^3 + 343 = (xy + 7)(x^2y^2 - 7xy + 49)
Answer:
2√65
Step-by-step explanation:
The difference in the x-coordinates of the two points is 8-(-6) = 14.
The difference in the y-coordinates of the two points is 10-2 = 8.
These distances can be considered to be the lengths of the legs of a right triangle whose hypotenuse is the line segment between the given points. Then the distance between the points is given by the Pythagorean Theorem as ...
... d = √(14² +8²) = √260 = 2√65 ≈ 16.1245
