We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108
Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)
In matrix form, the equations are

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5
Use Cramer's Rule.

Similalrly,

Answer: (-6, 8) or x = -6, y = 8
<h2>
Answer: 816 years</h2>
This problem can be solved using the <u>Radioactive Half Life Formula:
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(1)
Where:
is the final amount of the material
is the initial amount of the material
is the time elapsed (the quantity we are asked to find)
is the half life of americium-241
Knowing this, let's find
from (1):
Applying natural logarithm in both sides:
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<u>Finally:</u>
3 sides of square is 3*12=36 cm
perimeter for the full circle is 2 * pi * radius
which is =2 * 22/7 * 12 =75.43 cm
so 360° =75.43 cm
for 150° = 75.43/360 *150 =31.43
all together =36 +31.43 =67.43 cm
Given diameter 2cm
Find the area of a circle
the formula for area of a circle
A = pi r^2
the diameter is the radius times two
so to find the radius given the diameter 2/2 = 1
radius is 1cm
pi is ~3.14
A = (3.14) * (1)^2
A = (3.14) * 1
A = 3.14
Hope this helps :)
Answer:
This simple formula: area = 1/2 x perimeter x apothem.
It means: Perimeter × the sum of the lengths of all the sides.
Hope it helps!<3