Answer:
y = -6/7
x = 6/49
Step-by-step explanation:
-7x -y = 0
7x +8y = -6
Add the two equations together to eliminate x
-7x -y = 0
7x +8y = -6
-----------------------
7y = -6
Divide by 7
7y/7 = -6/7
y = -6/7
Now we need to find x
-7x -y = 0
-7x -(-6/7) =0
-7x +(6/7) =0
-7x +6/7 -6/7 =0-6/7
-7x = -6/7
Divide each side by -7
-7x/-7 = -6/7 *-1/7
x = 6/49
Answer:
6.25pi
Step-by-step explanation:
If the circumference is 5pi, then the radius has to be 2.5
Plug that into the area of a circle formula, (pi)(r^2) so your answer is 6.25pi.
Let the height of the triangle be
and the base be
.
Given that
and the area of the triangle is
. Or
.
When the area is maximum,
.
or,
.
![\frac{d(26-h)h }{dh} =0](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%2826-h%29h%20%7D%7Bdh%7D%20%3D0%20)
![2h-26=0](https://tex.z-dn.net/?f=%202h-26%3D0%20)
![h=13](https://tex.z-dn.net/?f=%20h%3D13%20)
The dimensions of the triangle with maximum area is
![h=13 cm, b=13 cm](https://tex.z-dn.net/?f=%20h%3D13%20cm%2C%20b%3D13%20cm%20)