-(2/9)
=-{(1/9)+(1/9)}
=-{0.111...+0.111...}
=-0.222...
Answer: 3) k = 22.5; xy = 22.5
Step-by-step explanation:
If two variables are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.
Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes
y = k/x
If y = 2.5 when x = 9, then
2.5 = k/9
k = 9 × 2.5 = 22.5
Therefore, an equation for the inverse variation is
y = 22.5/x
xy = 22.5
Answer:
The answer is option 1.
Step-by-step explanation:
Axis of symmetry means the middle x-coordinates of the parabola. So in order to find the x value, you have to find the TP which is Turning Point by using Completing the Square :
Let y = 0,
Next, you have to solve the x value :
x + 3 = 0
x = -3
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
Consider that point A is located at (x, y) in Quadrant I of the coordinate plane. In which quadrant is point B with coordinates (x, -y) located? A) Quadrant I B) Quadrant II C) Quadrant IV D lll
