Step-by-step explanation:
1.√2×(-2√9)×(-√2)
= -2×(-2×3)
=12 option a
2. √5×√15×√75
= √5×(√3√5)×(5√3)
= 5×3×5
=75 option b
10 days - 5 days = 5 days.
6 gliders - 3 gliders = 3 gliders.
They make 3 gliders in 5 days: 3/5 = 0.6 gliders per day.
y = 0.6x
The answer is A.
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:
The answer is 5
Step-by-step explanation:
First you subtract 3 from both sides and get 10. Then you divide by 2 and you get 5.
25x - 6 = 24 + 5x
First we collect terms
20x = 30
Now we divide by 20
x = 30/20
x = 1.5
