Answer:
2(2x^2 - x + 1)
Step-by-step explanation:
you write you problem 9x^2 - 2x - 5x^2 + 2 = 2(2x^2 - x + 1)
You collect the like terms by subtracting their coefficients
(9-5)x^2
Subtract the numbers
4x^2
4x^2 - 2x + 2
Factor out 2 from the expression
2(2x^2 - x + 1)
Answer:
(x, y ) → (x + 10, y + 10 )
Step-by-step explanation:
Consider the coordinates of C and C'
C(- 7, - 1 ) and C'(3, 9 )
The translation in the x- direction is
- 7 → 3 = 3 - (- 7) = 3 + 7 = 10
The translation in the y- direction is
- 1 → 9 = 9 - (- 1) = 9 + 1 = 10
Then translation rule is
(x, y ) → (x + 10, y + 10 )
Answer:
figure 3: 17 cubes.
figure 4: 21 cubes.
figure 5: 25 cubes.
Step-by-step explanation:
Let the nth figure be represented by f(n).
also we are given f(n+1)=f(n)+4.
The number of cubes used in figure 1 i.e. f(1) is 9.
number of cubes used in figure 2 i.e. f(2) is 13
Now we have to find the number of cube used in figure 3, figure 4 and figure 5.
number of cubes in figure 3 i.e. f(3)=f(2)+4=13+4=17.
number of cubes in figure 4 i.e. f(4)=f(3)+4=17+4=21.
number of cubes in figure 5 i.e. f(5)=f(4)+4=21+4=25.
C, the system has no solution. The lines are parallel
