We have that
(v+6)^2 = 324-----> I raise to 1/2 both members----> [(v+6)^2]^(1/2)=(324)^(1/2)[(v+6)]=(324)^(1/2)-------------> v+6=√324
v=√324-6---------> 18-6=12
v=12
the answer is v=12
No, 12 is the wrong answer. 5 is correct
This is because since a and c are congruent that means y=52. And we already know that every triangle adds up to 180 degrees so, you add A and C and get 104 (52+52).
And 180-104=76 so, 14x+6 must =76.
14(5)=70+6=76. 76+104=180, therefore, x=5.
Answer:
480m
Step-by-step explanation:
First we have to find the perimeter of the field.
We know that the area is 144m and that the field is a square.
Since a squares sides are all equal, we can do
, which is 12m.
So, one side of the field is 12m; now we just find the perimeter which is easy since its a square. 12*4=48m
If Andrea walked around it 10 times, then we just multiply the perimeter by 10
48*10=480m
Answer: for the first one x>-6, for the second one x< or equal to 5
Step-by-step explanation:
The given linear system is:

The question is asking to solve using elimination. When eliminating, you can either eliminate x or y. In this system, y is much easier to eliminate. The y variable in both equations are 7y. To eliminate, one of them has to be negative, so multiply one of the equations by -1.
I will be multiplying the second equation by -1.

Rewrite the system:

Subtract:


Lastly, you need to leave the variable x alone. The variable is currently -6x or -6 times x. To remove it, you need to do the opposite of it, which is dividing by -6.


Now that you have the value of x, substitute it into one of the equations to find y. I will be substituting it into the first equation.

Open the parentheses and multiply:

Move 5 to the other side to leave the variable alone:

You will be subtracting since you're "removing" it by doing the opposite of it.

Lastly, divide both sides by 7 to leave y alone.



The answer is (1, 4).