Answer:
Just like combining like terms with the same variables, you combine like
radicals with the same number under the radical signs.
Step-by-step explanation:
Example:
3x + 2x
= 5x {combined like terms}
3√2 + 2√2
= 5√2 {combined like radicals}
Answer:
Step-by-step explanation:
The standard form of an equation of a circle:
(h, k) - center
r - radius
We have the center (-5, 0) and the radius r = 8. Substitute:
Answer:
74
Step-by-step explanation:
Answer: She had 200 cards to start with
Step-by-step explanation:
Let x = the amount of cards she had initially. This means she had x cards to start with.
She gave half of the cards she had to a friend. This means she gave her friend x/2 cards. She is left with with (x-x/2) = x/2 cards.
She also gave 1/4 of the remaining cards to her brother. This means that she gave (1/4 × x/2) = x/8 cards to her brother.
Remaining number of cards will be x/2 - x/8 = (4x-x)/8 = 3x/8
She still has 75 cards left. This means
3x/8 = 75
Cross multiplying with 8, it becomes
3x = 75×8 = 600
x = 600/3 = 200
She had 200 cards to start with.
