Answer:
First statement is correct.
Step-by-step explanation:
In the first statement,
in the left hand side, 10 has -3 as its power but in the right hand side +3 is the 10's power.
According to 10's power, left hand side < right hand side.
Hence, there is no need to check the other statements.
Answer:
9x² − 12x + 4
Step-by-step explanation:
A perfect square trinomial:
a² + 2ab +b²= (a + b)²
a² - 2ab +b²= (a - b)²
9x² − 12x + 4 = (3x)² - 2*(3x)*2 + 2² = (3x - 2)²
36b² − 24b + 16
16x² − 24x − 9
4a² − 10a − 25
Answer:
Shifted to the right by 9 units, and down by 7 units
Step-by-step explanation:
y=x is the origin.
(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction
(you can be able to review why this is from online resources or you can ask your teacher)
the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction
let's sum up:
for this situation,
- what is inside the parentheses is the x
- what is outside the parentheses is the y
- the x-values direction shifts opposite from the sign (+/-)
- the y-values direction shifts like the sign (+/-)
So,
the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.
The length of the base is c
-2x + y = -3.....multiply by -2
-x + 2y = 3
-----------------
4x - 2y = 6 (result of multiplying by -2)
-x + 2y = 3
----------------add
3x = 9
x = 9/3
x = 3
-2x + y = -3
-2(3) + y = -3
-6 + y = -3
y = -3 + 6
y = 3
solution is (3,3)
