The answer is 2 = p
Explanation: Here the goal is to get the variable "p" by itself, so first your have to distribute 2 to (p-12) which gives you -10p = 2p-24. Then you add 10p on both sides so that the variable is on one side. Then you add 24 to both sides. After that you divide 12 from both sides, giving you 2 = P
-10P = 2(p-12)
-10p = 2p-24
+10p +10p
0 = 12p-24
+24 +24
24 = 12p
24÷12 = 12p÷12
2 = p
X+x+20+2x=180
4x+20=180
4x=160
x=40
Answer:
B
Step-by-step explanation:
tan45° = 10/x
=> 1 = 10/x
=> x = 10
=> y^2 = 10^2 + 10^2 = 200
=> y = 100*sqrt(2)
=> b
Answer:
(-1/3, 3/4)
Step-by-step explanation:
9x + 8y = 3
6x - 12y = -11
Let's solve the system by eliminating x. We need the coefficients of x to be additive inverses, so they will add to zero eliminating x. The LCM of 9 and 6 is 18. Let's multiply both sides of the first by 2 and both sides of the second equation by -3.
18x + 16y = 6
-18x + 36y = 33
The coefficients of x are 18 and -18, which add to zero. Now we add these two equations.
52y = 39
y = 39/52
y = 3/4
Now we substitute y with 3/4 in the first equation and solve for x.
9x + 8y = 3
9x + 8(3/4) = 3
9x + 6 = 3
9x = -3
x = -3/9
x = -1/3
Solution: (-1/3, 3/4)
