Circle A -- center(2, 0), radius 8 Circle A' -- center(-1, 5), radius 3
Answer:
Nolan hitted 8 home runs
Step-by-step explanation:
Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.
So, we can write the following equations:
N = 2 * (D - 6)
N + D = 18
Now we can solve the system of equations, using the value of N from the first equation in the second one:
2 * (D - 6) + D = 18
2*D - 12 + D = 18
3*D = 30
D = 10
Now we find N:
N + D = 18
N + 10 = 18
N = 8
So we have that Nolan hitted 8 home runs.
Answer:
1. if x + 5 = 12, then x = 7
<u>:Subtraction property of equality</u>
2. If x + y = 20, and y = 5, then x + 5 = 20.
<u>:Substitution property of equality</u>
3. If 2x3 = 11, then 11 = 2x - 3.
<u>:Symmetric property of equality</u>
Answer:
x + 1
y = 9
Step-by-step explanation:
In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....
y = 7x + 2
(plug in the y value and get the following ….)
-x + 10 = 7x + 2
(now just solve the following equation)
-x + 10 + x = 7x + 2 + x
10 = 8x + 2
10 - 2 = 8x + 2 - 2
8 = 8x
8/8 = 8x/8
1 = x
Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....
y = 7x + 2
y = 7(1) + 2
y = 7 + 2
y = 9
It is option 4 i think i used my graphing calculator and it looked similar
