20% is ur answer to the question
For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
We can rewrite the system like:
Ax = b
Where,
A = [5 3; -8 -3]
b = [17; 9]
x = [x; y]
The determinant of matrix A is given by:
lAl = ((5) * (- 3)) - ((3) * (- 8))
lAl = (-15) - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:
A ≈ 2 ft²
Step-by-step explanation:
The area (A) of a triangle using Heron's formula is
A = ![\sqrt{s(s-a)(s-b)(s-c)}](https://tex.z-dn.net/?f=%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D)
where s is the semiperimeter and a, b , c the sides of the triangle.
s =
=
=
= 4.5
Then
A = ![\sqrt{4.5(4.5-4)(4.5-4)(4.5-1)}](https://tex.z-dn.net/?f=%5Csqrt%7B4.5%284.5-4%29%284.5-4%29%284.5-1%29%7D)
= ![\sqrt{4.5(0.5)(0.5)(3.5)}](https://tex.z-dn.net/?f=%5Csqrt%7B4.5%280.5%29%280.5%29%283.5%29%7D)
= ![\sqrt{3.9375}](https://tex.z-dn.net/?f=%5Csqrt%7B3.9375%7D)
≈ 1.9843...
= 2 ft² ( to the nearest square foot )