Answer:
8/5
Step-by-step explanation:
Slope of the line = (-1-4)/(2-0)= -5/2
Equation of the line :
=> y - y1 = m(x - x1)
=> y - 0 = (-5/2)(x - 4)
=> 2(y - 0) = - 5x + 20
=> 2y + 5x = 20
To make the RHS 16, divide both sides by 20 and multiply by 16:
=> (2y/20)*16 + (5x/20)*16 = (20/20)*16
=> 8y/5 + 4x = 16
compare the equation with ax + by = 16 for y, b = 8/5
Scale for y - 1:1
Scale for x - 1:10
Reason- so that i can plot the points on the graph without any modification to the given one.
Now plot the points on the graph using the scale. I cant obviously do that here.
<em>the smallest of the three numbers is 14</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>three consecutive numbers a ; b ; c</em>
<em>b = a + 1</em>
<em>c = a + 2</em>
<em>a + b + c = 45</em>
<em>replace b ; c</em>
<em>a + (a + 1) + (a + 2) = 45</em>
<em>3a = 45 - 3</em>
<em>3a = 42</em>
<em>a = 42 : 3</em>
<em>a = 14</em>
<em>Good luck !</em>
Answer:
-8
Step-by-step explanation:
For roots r and s, the quadratic can be factored ...
f(x) = (x -r)(x -s) = x^2 -(r+s)x +rs
Then the value of r^2+s^2 can be determined from the coefficient of x (-(r+s)) and the constant (rs) by ...
r^2 +s^2 = (-(r+s))^2 -2(rs) = (r^2 +2rs +s^2) -2rs = r^2 +s^2
Comparing this to your given equation, we have the coefficient of x as (-2m) and the constant term as (m^2+2m+3). Forming the expression ...
(x-coefficient)^2 -2(constant term)
we get ...
r^2 +s^2 = (-2m)^2 -2(m^2 +2m +3) = 2m^2 -4m -6
r^2 +s^2 = 2(m -1)^2 -8
The minimum value of this quadratic expression is where m=1 and the squared term is zero. That minimum value is -8.
Answer:
50 all you have to do is subtract the least and the biggest number
Step-by-step explanation: