Answer:
x = -5, y = -6, z = -3
Step-by-step explanation:
Given the system of three equations:
Write the augmented matrix for the system of equations
Find the reduced row-echelon form of the augmented matrix for the system of equations:
Thus, the system of three equations is
From the last equation:
Substitute it into the second equation:
Substitute y = -6 and z = -3 into the first equation:
Answer:b
Step-by-step explanation:
Given
Hilda draws a card from a deck of cards and it is seven.
It is certain that card is 7 so there a 4 cards which can be 7
i.e. 7 of hearts,7 of spades,7 of club,7 of diamond
So probability that it is the 7 of spades is
Answer: 3,150 ft.
Step-by-step explanation: multiply all sides together
Answer: SU, TU, ST is the right answer
Step-by-step explanation: In a triangle
The largest side and the largest angle are opposite to each other
The shortest side and the shortest angle are opposite to each other.
So using the above axioms we can observe the triangle.
The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest
The smallest angle is m∠T = 25° so the shortest side is SU
The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°
So the sides in order from least to greatest are: SU, TU, ST
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
