Answer:
20
Step-by-step explanation:
If you take (2x+5) (2x+5) = 0
then 4x^2 + 20x +25 = 0
To figure out if the ordered pairs are a solution to the equations, you would need to plug in the points. Your points are ordered as (x,y)
You would plug in the number that's in the x spot in x, and the number in the y spot in y.
Let's start of with the first problem:
First thing you would do is plug in (-1) to x, and 6 to y.
Your equations would look like this:
6(-1) + 3(6) = 18
2(-1) + 6 = 7
What you would now do is solve the equations. When you solve them, you would get these answers
12 = 18
4 = 7
For #1, it would be no solution because the numbers do not equal each other. (Fun fact) If one of them ends up as a solution, but the other is no solution, the answer would be no solutions because BOTH of them have to be a solution to the equations given in order to be a solution.
If you do the same strategy, (plugging in the numbers to x and y), you would get the rest of the answers for the problems.
I hope this helps, if you need any more assistance, I would be glad to help!
Answer:
- Annie- 17 hours, Brian- 3 hours
Step-by-step explanation:
Let the number of hours Annie travelled be a, and same of Brian be b
<u>Then we have</u>
<u>Substituting a in the first equation</u>
- 5b + 2 + b = 20
- 6b = 20 - 2
- 6b = 18
- b = 3
<u>Then finding a</u>
<u>So the answer is:</u>
- Annie- 17 hours, Brian- 3 hours
Answer:
108
Step-by-step explanation:
Given that Joseph has 48 comic books.
As he sold 1/4 of his collection to his friend, so
The number of books, Josef sold = 1/4 x 48 = 12.
The number of remaining books, Josef has = 48 - 12 = 36.
As he brought twice the number of comic books as he has now, so,
the number of comic books, Josef brought = 2 x 36 = 72.
Now, total number of comic books, Josef has = 36 + 72 = 108.
Once you have the points they make a 3-4-5 triangle. The two legs are 3 and 4, so the hypotenuse has to be 5. Or you could use the pythagorean theorem a² + b² = c² 3² + 4² = c² 25 = c² c = 5
then find area
A=1/2bh
1/2(3*4)
6
