Answer:
Step-by-step explanation:
See the attached image
Simplifying
2c + 3 = 3c + -4
Reorder the terms:
3 + 2c = 3c + -4
Reorder the terms:
3 + 2c = -4 + 3c
Solving
3 + 2c = -4 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
3 + 2c + -3c = -4 + 3c + -3c
Combine like terms: 2c + -3c = -1c
3 + -1c = -4 + 3c + -3c
Combine like terms: 3c + -3c = 0
3 + -1c = -4 + 0
3 + -1c = -4
Add '-3' to each side of the equation.
3 + -3 + -1c = -4 + -3
Combine like terms: 3 + -3 = 0
0 + -1c = -4 + -3
-1c = -4 + -3
Combine like terms: -4 + -3 = -7
-1c = -7
Divide each side by '-1'.
c = 7
Simplifying
c = 7
Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40 The third number in the sequence is x+2
4x+6=40 8.5+2=10.5
4x+6-6=40-6 Therefore the third number in the sequence is
4x=34 10.5
4x/4=34/4
x=8.5
Answer:
-2, -6
Step-by-step explanation:
using cramer rule
5 -3
-2 -1
calculatiing the determinant = (5 x-1) - (-3x-2) = -5 -(6) = -5-6=-11
using cramer rule
to calculate x we change the coefficient of x with the answer (8,10)
8 -3
10 -1
we calculate determinant = (8x-1)-(-3x10) = -8-(-30) = -8+30 =22
to calculate x
22/-11= -2
to calculate y we change the coefficient of y with the answer (8,10)
5 8
-2 10
we calculate determinant = (5x10)-(8x-2) = 50 -(-16) = 50 +16=66
to calculate y
66/-11= -6
Answer:
GK = 9cm
Step-by-step explanation:
Length of diagonal FH = 9 cm
By the property of a rectangle,
"Lengths of the diagonals of a rectangle measure the same"
FH = GK
Therefore, GK = FH = 9cm
