you can look at the above photo
Answer: x² + y² = 25
Step-by-step explanation: As we have x²+y²=25 (A) as options,
x-y=1 (B)
x+y=25 (C)
x²+y²=5 (D)
We can rule out B and C as they are not circles. Circles must be
(x - xc)² + (y - yc)² = r². They must have index 2.
We have then A or D.
As the circle must pass through (3,4), we can substitute as x=3 and y=4
(A) 3² + 4² = 9 + 16 = 25 ok
(D) 3² + 4² = 9 + 16 = 25 ≠ 5
So, it is A, x² + y² = 25
Answer:
6x + 14y + 13
Step-by-step explanation:
combine the like terms.
(5+8), (2y + 12y), and 6x which will be dealt with after solving.
13 + 14y + 6x. And that is it because there are no more like terms to be put together.
Answer:
Jenkins: 25 hours Alexanders: 20 hours
Step-by-step explanation:
To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.
We can make a represent hours because we know the rate of sprinkler's output is per hour.
25a+40b=1425
a+b=45
Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.
a+b=45
a=45-b
Now we can plug this in for a in the other equation.
25a+40b=1425
25(45-b)+40b=1425
Distribute 25 into the parenthesis.
1125-25b+40b=1425
1125+15b=1425
15b=300
b=20
Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.
a+b=45
a+20=45
a=25
The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.
Answer:
(5,1)
Step-by-step explanation:
You already have x isolated in the second one so you just fill that in for the first one and get y+4+y=6. Then you simplify and get that y=1 and because only one of the answer choices shows that, you just pick that choice which is (5,1).
