Answer:
12.1
Step-by-step explanation:
The dashed line joining M₁ and M₂ is the hypotenuse of a right triangle as shown in red below.
The base of the triangle is
x₂ - x₁ = 2 - (-3) = 2+ 3 = 5
The height of the triangle is
y₂ - y₁ = 16 - 5 = 11
We can now use Pythagoras' theorem to calculate distance between the two midpoints.
x² = 5² + 11² = 25 + 121 = 146
x = √146 =
12.1
The distance between M₁ and M₂ is 12.1.
Since it says ''times'', you have to change the mixed numbers into fractions which will turn the equation into 10/3 x 13/5 which = 130/15. When you turn that into a mixed number, it changes into 8 10/15 or 8 2/3.
ANSWER: 8 2/3
Use desmos lol it’s a graphing calculator app
For the answer to the question above,
The slope of the line of the line is calculated through the equation,
m = (y2 - y1) / (x2 - x1)
Using the first two points in the given,
m = (-7 - 9) / (-12 - 8) = 4/5
The line parallel to this has also a slope of 4/5. Through the point-slope form, the equation of the second line is,
y - -15 = (4/5)(x - -5)
Simplifying gives the answer of,
y = (4/5)x -11
Eliminating the fraction,
5y = 4x - 55
I hope my answer helped you.
