Answer:
The answer to your question is Midpoint = (0, 1)
Equation of the bisector y = 2x + 1
Step-by-step explanation:
Data
P (-4, 3)
Q (4, -1)
Process
1.- Find the midpoint
Xm = (-4 + 4)/2
Xm = 0/2
Xm = 0
Ym = (3 - 1)/2
Ym = 2/2
Ym = 1
Midpoint = (0, 1)
2.- Equation of the line
slope = (-1 - 3) / (4 + 4)
= -4/8
= -1/2
But the new line is perpendicular so the new slope is
m = 2
Equation of the new line
y - y1 = m(x - x1)
y - 1 = 2(x - 0)
y - 1 = 2x
y = 2x + 1
Answer:
V ≈ 254.5 in³
Step-by-step explanation:
The volume (V) of the cylindrical tube is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × 3² × 9 = π × 9 × 9 = 81π ≈ 254.5 in³ ( to 1 dec. place )
Answer:
2/5-1/4=8/20-5/20=3/20
Step-by-step explanation:
so you would have to multiply the fractions so that they have the same denominator, so multiply 2/5 by 4 to get 8/20 for the first blank. then do the same for the next blank but multiplying by 5 which would make it 5/20. then it equals 3/20 by using normal subtraction of the numerators (hope this is correct im sorry if its not).
Answer:
$1.66666667 per entree or $1.67 per entree rounded to the nearest hundredth.
Step-by-step explanation:
$10 total divided by 6 entrees.
$10/6 = $1.66666667 per entree or $1.67 per entree rounded to the nearest hundredth.
Answer:
Step-by-step explanation:
This is calculus, but I don't get fractions in the end. To maximize or minimize any function, you need to find the derivative of it, set it equal to 0, then solve for the critical values.
Our given equation is
x + y = 215 and we want to maximize the product, xy. Therefore,
y = 215 - x so its product in terms of x is
x(215-x) which is
. The derivative of this is
215 - 2x. Set it equal to 0 to maximize it.
215 - 2x = 0 so
-2x = -215 and
x = 107.5.
Sub this in to solve for y:
y + 107.5 = 215 and
y = 107.5
The product is 11556.25, not that you need it.
