The determinant of a 2 x 2 matrix can be calculated as:
Product of non-diagonal elements subtracted from product of diagonal elements.
The diagonal elements in given matrix are 12 and 2. The non-diagonal elements are -6 and 0.
So,
Determinant G = 12(2) - (-6)(0)
Determinant G = 24 - 0 = 24
So, option B gives the correct answer
Answer:
1. A. 1
2. D.
Step-by-step explanation:
Properties used:
- Power of a Power Property
- Product Property
- Quotient Property
- Zero Exponent Property
1. First, let's deal with the numerator.
can be turned into by using the Power of a Power Property.
And then use the Product Property,
So now, our fraction is this:
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: or . Which then you plug the numbers in: . And since we know that in Zero Exponent Property: , we can see that . So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property:
So plug the numbers in the property: =
Product Property:
We plug the equation in with turned into ---
So the answer is , which is D
I hope this helps!
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Have a great day!
We use rulers obviously because the length of rulers are about 4 more times longer than hands. Hope this helps you :]
Answer:
Condition 1:
four times the sum of X and Y = 4(X + Y)
Condition 2:
the sum of four times X and Y= 4X + Y
In condition 1, both the variables are first added and then multiplied by four. This can be simplified as:
4X +4Y
I condition 2, only the variable X is multiplied with 4 and then added to Y.
With positive integers, condition 1 will always give a greater value.
With negative integers, condition 2 will have greater value.
I hope it will help you!
Answer:
okay so it is −
3
−
1
⋅
3
4
(
−
4
)
=
5
4
−
3
−
3
4
(
−
4
)
=
5
4
Step-by-step explanation: