Thought you'd want to know: If you're talking about parabolas, it's parabolas, not probables. ;)
The standard equation of a a quadratic is y = ax^2 + bx + c. We need to find the values of the coefficients a, b and c.
Taking the first point: When x=3, y=0, so write 0 = a(3)^2 + b(3) + c, or
0 = 9a + 3b + 1c
Do the same for points (-2,3) and (-1,4).
You will have obtained three linear equations in a, b and c:
3= a(-2)^2 + b(-2) + c, or 3 = 4a - 2b + 1c, also
4 = a(-1)^2 + b(-1) + 1c, or 1a - 1b + 1c.
I used matrix operations to solve this system. The results are:
a= -2/5, b= 1/5, c= 21/5
and so the function f(x) is f(x) = (-2/5)x^2 + (1/5)x + 21/5.
1 cm= 10 mm
7 cm= 70mm
difference between grasshopper and cockroach= 99mm - 70mm
= 29mm
Answer:
-4
Step-by-step explanation:
Find the gradient of the line segment between the points (0,2) and (-2,10).
Given data
x1= 0
x2= -2
y1= 2
y2=10
The expression for the gradient is given as
M= y2-y1/x2-x1
substitute
M= 10-2/-2-0
M= 8/-2
m= -4
Hence the gradient is -4
Answer:
m<2 is 17 degrees
Step-by-step explanation:
We can see that the angle at the vertex E was bisected to give two different but equal angles
Thus, we have it that;
2x + 7 = 4x-3
4x-2x = 7+ 3
2x = 10
x = 10/2
x = 5
so m<2 = 4(5) -3 = 20-3 = 17 degrees
Answer:
y/x = (a + b) / (m + n)
Step-by-step explanation:
-(xb − ym) = -yn + xa
Distribute:
-xb + ym = -yn + xa
Combine like terms:
ym + yn = xa + xb
Factor:
y (m + n) = x (a + b)
Rearrange:
y/x = (a + b) / (m + n)
