Answer:
x = 8
Step-by-step explanation:
-4x + 6(6 - 2x) = -7x - 36
-4x + 36 - 12x = -7x - 36
-16x + 36 = -7x - 36
<u> +36 +36</u>
-16x + 72 = -7x
<u>+16x +16x</u>
72 = 9x
divide by 9
<u><em>x = 8</em></u>
Answer:
14 feet
Step-by-step explanation:
To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:
p = 2 * l + 2 * w
Now we know that the total fencing value is $ 976 and that per foot is $ 16
that is, we can calculate the value of the perimeter, like this:
976/16 = 61
We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:
61 = 16.5 * 2 + 2 * w
solving for w:
w = (61 - 33) / 2
w = 14
which means that the width of the patio is 14 feet.
You can create a right angled triangle.
Find the hypotenuse.
The third point of the triangle is (1,0)
using pythagoras, the value of a is 2, b is 3. 2^2 +3^2 = 13.
Therefore the distance between the two points is