So we are trying to find this red line's length.
We can either find it directly, or use the blue line firs, and then use it as a leg for the green triangle.
So the blue leg is a hypotenuse for two of the edges. So:

from the Pythagorean Theorem
OR

Which works out to:

So now that we have that, using the Pythagorean Theorem again gives:


So the length of the red line is found that way.
But wait! There's more!
As it turns out, the red line can be found with an easier way that works with cubes and boxes (cuboids). It's really easy:

Where a, b, and c are all 10m, and d is the red line. This greatly reduces the math:

which gives the same answer as above, which you can see.
7 981 943 000 Millimeters
9514 1404 393
Answer:
m = 2k/v
Step-by-step explanation:
Identify the coefficient of m (v/2) and multiply by its inverse (2/v).
(2/v)k = (2/v)m(v/2) . . . . multiply both sides of the equation by 2/v
2k/v = m . . . simplify
m = 2k/v
Answer:

Step-by-step explanation:
(11)²=(6)²+ (y)²
121=36 +(y)²
y² =121 –36
y²=85

Step-by-step explanation:
you drew already the right things, you have everything.
so, what is the problem ?
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
so, for the 2 marked points you showed correctly the differences :
x changes by +8 (from -4 to 4).
y changes by -2 (from 3 to 1).
so the slope is -2/+8 = -1/4
the y-intercept we also see directly in the chart : +2.