Answer:
K is either 9 or 1
Step-by-step explanation:
Sqrt((0 - 3)² + (k - 5)²) = 5
Square both sides
(0 - 3)² + (k - 5)² = 5²
(0 - 3)² + (k - 5)² = 25
-3² + (k - 5)² = 25
9 + (k-5)(k-5) = 25
9 + k² - 5k - 5k + 25 - 25 = 0
k² - 10k +9 = 0
k² - 9k - k + 9 = 0
k(k - 9) - 1(k - 9) = 0
k - 1 = 0 ; k = 1
k - 9 = 9; k = 1
K = 9 or k = 1
K is either 9 or 1
Answer:
47 is greater than or equal to 5x+10y
Step-by-step explanation:
you can't spend more than $47 but you can spend less than or equal to that amount.
Answer:
There are 604,800 possible permutations.
Step-by-step explanation:
The order in which the digits are chosen is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
7 digits from a set of 10(10 digits to 0-9). So

There are 604,800 possible permutations.
Find 75% of $36 and add it to $36. Convert 75% to a decimal and multiply it by 36. That's how you get 75% of 36.
Use substitution.
2p + 3(2p) = 680
2p + 6p = 680
8p = 680
p = 85
Plug in.
x = 2p
x = 2(85)
x = 170
p = 85