Ok so to find this we need to find 25% of 8 and then add that number to 8 itself. SO .25*8=2. So 2+8=10. So the answer is 10. IF you don't get it just ask and i can try to re explain
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Answer:
A plane is a flat surface made up of points that extends infinitely in all directions.
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Answer:
1) The determinant = 65
2) The determinant = 152
Step-by-step explanation:
Let us show how to find the determinant of a matrix
You can find the determinant of this Matrix ![\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&m&n\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%26c%5C%5Cd%26e%26f%5C%5Cg%26m%26n%5Cend%7Barray%7D%5Cright%5D)
by using this rule
Determinant = a(en - fm) - b(dn - fg) + c(dm - eg)
Let us use this rule with the given matrices
1)
![\left[\begin{array}{ccc}1&-1&3\\2&5&0\\-3&1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%263%5C%5C2%265%260%5C%5C-3%261%262%5Cend%7Barray%7D%5Cright%5D)
The determinand = 1[(5)(2) - (0)(1)] - (-1)[(2)(2) - (0)(-3)] + 3[(2)(1) - 5(-3)]
= 1[10 - 0] - (-1)[4 - 0] + 3[2 - (-15)]
= 1[10] + 1[4] + 3[2+15]
= 10 + 4 + 3[17]
= 10 + 4 + 51
= 65
The determinant = 65
Let us do the second one
2)
![\left[\begin{array}{ccc}-1&-8&2\\9&1&0\\4&1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26-8%262%5C%5C9%261%260%5C%5C4%261%262%5Cend%7Barray%7D%5Cright%5D)
The determinand = -1[(1)(2) - (0)(1)] - (-8)[(9)(2) - (0)(4)] + 2[(9)(1) - 1(4)]
= -1[2 - 0] - (-8)[18 - 0] + 2[9 - 4]
= -1[2] + 8[18] + 2[5]
= -2 + 144 + 10
= 152
The determinant = 152
Answer:
<h2>
x = 20.8</h2><h2>
y = 22.3</h2>
Step-by-step explanation:
- x is the adjacent side
- 8 is the opposite side
- y is the hypothenuse
SOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.
Answer:
a.) 11
b.) 13.5
c.) m/2
d.) 7.5+m/2
Step-by-step explanation: