Answer: a) D = √148
m = (-5,4)
b) D = √241
m = (1, 7.5)
c) D = √20
m = (0,-4)
Step-by-step explanation:
Distance and Midpoint Formulas
distance = D = √[(x₂-x₁)² + (y₂-y₁)²]
Midpoint: m = ((x₂+x₁)/2 , (y₂+y₁)/2)
(−4, 10) and (−6, −2)
D = √[(-6-(-4))² + (-2-10)²] = √[(-6+4))² + (-2-10)²] = √[(-2))² + (-12)²] =
√[4 + 144] = √148
m = ((-6+(-4))/2 ; (-2+10)/2
m = (-10/2 ; 8/2)
m = (-5,4)
(−1, 15) and (3, 0)
D = √[(3-(-1))² + (0-15)²] = √[(3+1))² + (0-15)²] = √[(4)² + (-15)²] =
√[16 + 225] = √241
m = ((3+(-1))/2 ; (0+15)/2
m = (2/2 ; 15/2)
m = (1,7.5)
(2, −3) and (−2, −5)
D = √[(-2-2)² + ((-5)-(-3)²] = √[(-4))² + (-5+3)²] = √[(-4)² + (-2)²] =
√[16 + 4] = √20
m = (-2+2))/2 ; (-5+(-3))/2
m = (0/2 ; -8/2)
m = (0,-4)
Answer:
Step-by-step explanation:
Inverse variation is written as
which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then
We are given the initial condition for which we need to solve for k:
c = 4 when t = 30:
so
k = 120.
Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:
(the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get
c = 1
Answer:60 using ac method
Step-by-step explanation:
Mean is average example
mean of x,y,z is (x+y+z)/3
so 6 values
mean of 28
that means that they add up to 168
median means the middle number when you arrange them
range means the distance from smallest number to largest number
an example
18,27,29,29,29,36
Answer: The instrument weigh 204 ounces on Earth.
Step-by-step explanation:
Since we have given that
Instrument weighed on the moon = 34 pounds
As we know that
The force of gravity on Earth is 6 times greater than on the moon.
So, the weight of instrument on the earth is 6 times the weight on the moon.
Mathematically, it is expressed as
Hence, the instrument weigh 204 ounces on Earth.
