Answer:
(-1,7)
Step-by-step explanation:
The solution is where both lines meet.
Solve for x in the second equation.
Just add 1 to both sides to get x = 9y + 1
Then plug 9y + 1 into the first equation for x
7(9y+1) - 9y = 1
63y + 7 - 9y = 1
54y + 7 = 1
54y = -6
y = -6/54 or -1/9
Plug y back into one of the equations to get x = 0
Answer: (0, -1/9)
Answer: x=6
Step-by-step explanation: 3x-10+10=8+10 3x/3=18/3 x=6
Let x = the shorter leg
2x + 6 is the longer leg
2x + 9 is the hypotenuse
We now do the Pythagorean Theorem of
Multiply out to get:
The
will cancel out each other when you combine like terms to get all the terms on one side of the equal sign.
Combine like terms with the rest to end with
Factor this to get
then set each factor equal to zero.
You end up with two solutions, x = 15 and x = - 3
HOWEVER distance cannot be measure in negatives so that answer will not work so x = 15. Now plug into our given information.
The short leg is 15 cm long.
The longer leg of 2(15) + 6 = 36 cm long
The hypotenuse of 2(15) + 9 = 39 cm long.
You can check your answers by plugging them into the Pythagorean Theorem again.
Answer:
180
Step-by-step explanation: