A) For object with mass m1,
F = m1 * 3
m1 = F/3
For object with mass m2,
F = m2 * 1
m2 = F
Ratio of m1/m2
(F/3) / F = 1/3
Answer:
9.2 m.
Step-by-step explanation:
6.2 m.
7.2 m.
8.2 m.
9.2 m.
Answer:
Subtract 8x8x from both sides of the equation.
y=32−8x
Answer:
25 cm^2
Step-by-step explanation:
The side length of square 1 is sqrt(169) = 13
The side length of square 2 is 48/4 = 12
From the Pythagorean Triple 13 - 12 - 5, the side length of square 3 is 5
Finally, 5 * 5 is 25
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)
