6x-1=4x+6
subtracting 4x from each side
2x-1=6
adding 1 to each side
2x=7
divide by 2
x=7/2 or 3.5
check: 6(7/2) -1 =4(7/2)+6
21-1 =14+6
20=20 correct
Step-by-step explanation:
The answer is OPTION C
Find the Inverse of a 3x3 Matrix.
First
Find the Determinant of A(The coefficients of e
Proceed towards finding the CO FACTOR of the 3x3 Matrix.
+. - +
A= [ 1 -1 -1 ]
[ -1 2 3 ]
[ 1 1 4 ]
The determinant of this is 1.
Find the co factor
| 2 3 | |-1 3 | |-1 2 |
| 1. 4. | |1 4 | |1. 1 |
|-1. -1 | |1 -1 | |1 -1
| 1. 4 | |1. 4| |1 1|
|-1. -1 | |1 -1 | |1. -1
|2. 3| |-1. 3| |-1 2|
After Evaluating The Determinant of each 2x 2 Matrix
You'll have
[ 5 7 -3]
[3 5 -2 ]
[-1 -2 1]
Reflect this along the diagonal( Keep 5,5 -2)
Then switching positions of other value
No need of Multiplying by the determinant because its value is 1 from calculation.
After this
Our Inverse Matrix Would be
[ 5 3 -1 ]
[7 5 -2 ]
[ -3 -2 1]
THIS IS OUR INVERSE.
SO
OPTION C
5 - v < 6, 5 - v >= 0
-5 + v < 6, 5 - v < 0
1) - v < 6 -5 (move 5 to the right side and then multiply by -1 both sides of the inequality)
v > -1 (don't forget that here v <= 5)
2) v < 6 + 5 (move -5 to the right side)
v < 11 (here v should be more than 5)
so from 1) you get that v is from -1 to 5 inclusive (-1;5]
and from 2) you get that v is from 5 to 11 (5;11)
so by adding up results from 1) and 2) you get v is (-1; 11)
answer: (-1; 11)
Answer:
12.56
Step-by-step explanation:
:))))
C= 2 x π x radius
Hello,
9)
∠DBC=90-54=36°
∠CAD=∠DBC=36°
10)
∠BOC=1/2(360-2*100)=1/2*160=80°
∠l=1/2∠AOD=1/2∠BOC=40°
11)
JL=10
JA=7==>AL=10-7=3
LC=AL=3
LK=11
CK=11-3=8
KB=KC=8
BJ=JA=7
perimeter=10+11+15=36