Answer:
x = 5 and y = 6; that is the (5, 6) (x, y) pair.
Step-by-step explanation:
The graph shows two lines that cross at the point (5, 6) on the plane (see attached image).
This means that the point x=5 and y=6 belongs to both lines (is a solution for both equations representing the lines) and therefore this pair of values is the solution to both equations in the system.
Answer:
140
Step-by-step explanation:
The arithmetic series is 5, 7, 9, 11, ........., 23.
First u have to determine the no. of terms that can be done by using
Tₙ = [a + (n - 1)d]
Tₙ-------nth term
a---------first term
n---------no.of terms in the series
d---------common difference
here a = 5,d = 2.
let it contain n terms Tₙ= [a + (n-1)d]
Substitute Tₙ, a, and d in the equation
23 = 5 + (n - 1)2
Subtract 5 from each side.
18 = (n-1)2
Divide each side by 2
(n - 1) = 9
Add 1 to each side
n = 9 + 1 = 10
The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]
Substitute Sₙ, a, n and d in the equation
Sₙ= (10/2)[2(5) + (10-1)2]
Sₙ= (5)[10 + (9)2]
Sₙ= 5[10 + 18]
Sₙ= 5[28] = 140
Therefore the sum of the arithmetic sequence is 140.
Answer:
The answer is C the 2 rectangles
Answer:
coefficent matrix
Step-by-step explanation:
P. 366
"If the column of constant terms is not included, the matrix reduces to that of the coefficent matrix of the system"
-1 -3 -1
9 -9 -1
-1 -3 4
Answer:
subtract 7 from both sides
2x < 7- 7
subtract 7 from 7 to get 0
2x < 0
product of two numbers is < 0 if one is > 0 and the other is < 0. since 2> 0, must be < 0.
x < 0
