We have to set up 2 different equations if we are to solve for 2 unknowns. The first equation is x = y + 4. One number (x) is (=) 4 more than another (y + 4). Since we have determined that x is larger (cuz it's 4 more than y), when we set up their difference, we are going to subtract y from x cuz x is bigger. The second equation then is
. In our first equation we said that x = y + 4, so let's sub that value in for x in the second equation:
. Expand that binomial to get
. Of course the y squared terms cancel each other out leaving us with 8y + 16 = 64. Solving for y we get that y = 6. Subbing 6 in for y in our first equation, x = 6 + 4 tells us that x = 10. Yay!
Answer:
- B - tan A = 4/3, sin B = 3/5
Step-by-step explanation:
<u>First, lets find the length of the third side</u>
- b = √15² - 12² = √225 - 144 = √81 = 9
<u>Now, lets get Tan A and Sin B</u>
- Tan A = 12/9 = 4/3
- Sin B = 9/15= 3/5
Correct option is B
Answer:
h(f(x)) = x
Step-by-step explanation:
Since the functions are inverses h(x) undoes f(x)
That is if f(x) = x then inverse function maps back to x
h(f(x)) = x
The probability is 1/5.
<h3>
How to find the probability?</h3>
There are 3 red marbles and 3 white marbles, for a total of 6.
The probability that the first marble is red is:
P(red) = 3/6
The probability that the second marble is also red is:
P(red') = 2/5 (because now there are 2 red marbles and a total of 5).
The joint probability is:
P = (3/6)*(2/5) = 1/5
If you want to learn more about probability:
brainly.com/question/25870256
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