Answer:
A x=1/4
Step-by-step explanation:
2/3x = 1/6
Divide by 2/3
so 1/6 ÷ 2/3
= 1/6 • 3/2
= 3/12
= 1/4
Answer:
The vertex is the point 
Step-by-step explanation:
we have

we know ow that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
Convert the equation into vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

therefore
the vertex is the point 
<u>Answer:</u>
The equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is 
<u>Solution:</u>
Given that line passes through (-2, -6) and has slope of 1/3
We have to find the equation of the line
The point slope form is given as

where m is the slope of the line and a, b are the x, y coordinates of the given point through which the line passes.
Here in this question, m = 1/3 and a = -2 and b = -6
By substituting in point slope form we get,

Hence the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is 
x - Ram's age now
Ram is half his father's age now, so his father's age is two times Ram's age:
2x - Ram's father age now
x - 10 - Ram's age ten years ago
2x - 10 - Ram's father age ten years ago
ten years ago he was one third his father's age so his father's age was three times Ram's age:
2x - 10 = 3•(x - 10)
2x - 10 = 3x - 30
-10 + 30 = 3x - 2x
20 = x
2x = 2•20 = 40
Answer:
<u>Ram is 20 years old now, Ram's father is 40 years old now.</u>
Answer:
Step-by-step explanation:
The original price was 43 dollars
The new price is 55/100 * 43
The new price is 2365/100
The new price is 23.65 dollars
2365 came from multiplying 43 * 55 which is 2365