Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
Answer:
A
Step-by-step explanation:
Assuming the triangle is right, use Pythagoras' identity to find N
The square on the hypotenuse is equat to the sum of the squares on the other 2 sides.
Here the hypotenuse = 73, thus
N² + 48² = 73², that is
N² + 2304 = 5329 ( subtract 2304 from both sides )
N² = 3025 ( take the square root of both sides )
N = 
= 55 → A
I think 4glo is the answer
Multiply 5/2 on both sides to clear the fraction.
-8(5/2)=(5/2)(2/5)(k-2)
-20 = k -2
Add 2 to both sides
-18 = k
