Answer:
diameter = m - c
Step-by-step explanation:
In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).
The sum of the lengths of the tangents from points A and B on side "c" is ...
(b-r) +(a-r) = c
(a+b) -2r = c
Now, the problem statement defines the sum of side lengths as ...
a+b = m
and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...
m -d = c
m - c = d . . . . add d-c
The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.
Answer:
84:56, I think?
3 x 28 for the boys then minus 28 for the girls
The answer here is 13. 20 divided by 4 is 5 /‘d 2 to tbe third power is 8. It is 5+8 which is 13
Each individual contributed $x
3x=$19.50
x=$6.50
Each friend contributed $6.50
Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular lines: Their gradients are reciprocals.
This means:
- -1 ÷ Gradient 1 = Gradient 2
- Gradient 1 * Gradient 2 = -1
Gradient of the given equation is 3.
-1 / 3 = -1/3
Gradient of the equation we're finding is -1/3
y = -1/3x + c
Substitute the coordinates in to find the value of c
2 = -1/3(6) + c
2 = -2 + c
2 + 2 = c
4 = c
y = -1/3x + 4