Answer:
x = approx. 1.24 or -7.24
Step-by-step explanation:
It's hard to factor directly so we should use the quadratic formula or complete the square. I'm going to go with completing the square.
x²+6x-9=0
x²+6x=9
x²+6x is the same as x²+2·3·x, in order to make this into the algebraic identity (A+B)²=A²+2AB+B², we must add B², or in this case 3² to both sides. (A is x, B is 3)
x²+6x+9=18
(x+3)²= 18
x+3= ±√18
x= ±4.24 -3 (approximately 4.24)
First solution for x = 4.24-3 = 1.24
Second solution for x = -4.24-3 = -7.24
Answer:
30+10y < 120
Step-by-step explanation:
2(5x)2(-7)=2x+10
2(5x)= 10x
2(-7)=-14
10x-14=2x+10
Solve:
10x-2x=8x
8x-14=10
14+10=24
8x=24
24/8=3
X=3
We need the square and the lengths of it to help you
Answer:
D.Transitive property of equality
Step-by-step explanation:
We are given that segment JK is parallel to segment LM
We have to prove 
We have to find which option correctly justifies the statement 4 of the two - column proof.
1.Statement : JK is parallel to segment LM
Reason: Given
2.
Reason: Vertical angles theorem
3.
Reason:Corresponding angles theorem
4.
Reason: Transitive property of equality.
If a=b and b=c then a=c
Hence, option D is true.