Answer: 1. To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.2.The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical.3.When factoring a trinomial in the form x2 + bx + c, consider the following tips. Look at the c term first. o If the c term is a positive number, then the factors of c will both be positive or both be negative. In other words, r and s will have the same sign.
Step-by-step explanation:
Sum = <span>ax + by + c + 2ax - 3by + c + by - c
Adding and cancelling the like terms
Sum = 3 </span><span>ax - by + c
</span><span>a. 3ax - by + c</span>
If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
Answer:
<u>C) −2x − 2y + 17</u>
Step-by-step explanation (PEMDAS):
First, we do <u>3 (y + 5)</u> because of the parenthesis:
6x − 5y + 2 − 8x + 3y + 15
Since there are no exponents, multiplication ,or division, we will add and subtract. But we have to make sure we <u>combine like terms</u>. X with X's, Y with Y's and constants with constants. And ALWAYS go from left to right
6x − 5y + 2 − 8x + 3y + 15
<u>−2x</u> − 5y + 2 + 3y + 15
−2x <u>− 2y</u> + 2 + 15
<em>−2x − 2y</em><em> </em><em>+ </em><em><u>17</u></em><em>.</em>
To divide rational numbers, you turn the division problem into a multiplication problem by flipping the second rational number. Then you go ahead and multiply the tops and bottoms together to get your answer. If you can simplify your problem before multiplication, you can go ahead and do so to make your problem easier.
