1) slope = (y₂-y₁)/(x₂-x₁)
Let A and B be A(4,-6) and B(0,2) ;
m = [2-(-6)]/[0-4) = (2+6)/(-4) → m = -2
2) Midpoint = value of x of the midpoint = (x₁+x₂)/2
value of y of the midpoint = (y₁+y₂)/2
x(midpoint) = (4+0)/2 → x= 2
y(midpoint) = (-6+2)/2 → y= - 2, so Midpoint M(2,-2)
3) Slope of the perpendicular bisector to AB:
The slope of AB = m = -2
Any perpendicular to AB will have a slope m' so that m*m' = -1 (or in other term, the slope of one is inverse reciprocal of the second, then if m =-2, then m' = +1/2 ; Proof [ (-2)(1/2) = -1]
4) Note that the perpendicular bisector of AB passes through the midpoint of AB or M(2,-2). Moreover we know that the slope of the bisector is m'= 1/2
The equation of the linear function is :
y = m'x + b or y = (1/2)x + b. To calculate b, replace x and y by their respective values [in M(-2,2)]
2= (1/2).(-2) + b → 2 = -1 + b → and b= 3, hence the equation is:
y = (1/2)x + 3
I think it is tens or sum look up fractions place value and u will probable get it
The radius of the cylinder is 2.92 cm
<u>Explanation:</u>
Given:
Volume of cylinder, V = 193 cm³
Height of the cylinder, h = 7.2 cm
Radius of the cylinder, r = ?
We know:
Volume of cylinder = πr²h
On substituting the value we get:
Therefore, the radius of the cylinder is 2.92 cm
Step-by-step explanation:
hihi, so this is a classic interest rate problem. It's not too bad if you know your properties of e and ln. After establishing the base equation you can divide by 100 then take the natural log of both sides to "get rid" of the e and finally end it by dividing by 10 to isolate r.
