The lines are parallel, because they have the same gradient but are just in different positions ie. y = x-9.
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
Answer:
Probability of choosing green and yellow treat is higher than Probability of choosing an orange and yellow treat by 0.08
Step-by-step explanation:
Given -
Green and yellow gummy treats = 20
Red and yellow gummy treats = 14
Orange and yellow gummy treats = 16
Total gummy treat = 20+14+16 = 50
Probability of choosing green and yellow treat = 20/50 = 0.4
Probability of choosing an orange and yellow treat = 16/50 = 0.32
Probability of choosing green and yellow treat is higher than Probability of choosing an orange and yellow treat by 0.08
Answer:
2F /r = m
Step-by-step explanation:
F=1/2 mr
Multiply each side by 2
2F = 2*1/2 mr
2F = mr
Divide each side by r
2F/r = mr/r
2F /r = m
Answer:
1/64, 1/128, 1/256
Step-by-step explanation:
