<span>here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
19</span>²<span> = 13</span>²<span> + X</span>²<span>
X - length of the third side
361 = 169 + X</span>²<span>
X</span>²<span> = 361 - 169
X</span>²<span> = 192
X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm</span>
Answer:
.
Step-by-step explanation:
It is given that Point A is at (-5, -4) and point B at (-3, 3).
We need to find the coordinates of the point which is 3/4 of the way from A to B.
Let the required point be P.


It means, point P divides segment AB in 3:1.
Section formula: If a point divides a line segment in m:n, then

Using section formula, we get




Therefore, the required point is
.
For a polygon to be regular it must have all sides the same length and all interior angles the same.
Answer:
(-12, -1)
Step-by-step explanation:
(8, -1) => (-2/3x, f(-2/3x))
therefore
-2/3x = 8
x = 8 *-3/2
x = -12
f(-2/3x) = -1
therefore, the corresponding point is:
(-12,-1)