Answer:
multiplicative inverse
Step-by-step explanation:
A number that is multiplied by it's multiplicative inverse equals one.
A multiplicative inverse is also called a reciprocal.
Example:
1/7 is 7's multiplicative inverse.

Let the number of hours = X
Multiply the speed of each train by the number of hours (x) and add them together to equal the total miles:
75x + 95x = 238
Simplify:
170x = 238
Divide both sides by 170:
x = 238/170
x = 1.4 hours.
Check:
75 x 1.4 = 105 miles
95 x 1.4 = 133 miles
105 + 133 = 238 miles
It will take 1.4 hours ( 1 hour and 24 minutes).
3x + 4(2) = 20
3x + 8 = 20
3x = 12
x = 4
(4,2)
You have y=2 then all you need to do is plug 2 into the y in the equation 3x + 4y = 20 and do the math to find x. Hope this helps
Answer:
The coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
Step-by-step explanation:
Given
As m is the midpoint, so
m(x, y) = m (-7, -2.5)
The other point a is given by
a(x₁, y₁) = a(-9, -4)
To determine
We need to determine the coordinates of the point b
= ?
Using the midpoint formula

substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)

Thus equvating,
Determining the x-coordinate of b
[x₂ + (-9)] / 2 = -7
x₂ + (-9) = -14
x₂ - 9 = -14
adding 9 to both sides
x₂ - 9 + 9 = -14 + 9
x₂ = -5
Determining the y-coordinate of b
[y₂ + (-4)] / 2 = -2.5
y₂ + (-4) = -2.5(2)
y₂ - 4 = -5
adding 4 to both sides
y₂ - 4 + 4 = -5 + 4
y₂ = -1
Therefore, the coordinates of the point b are:
b(x₂, y₂) = (-5, -1)