Answer:
BD = √97 cm ≈ 9.849 cm
Step-by-step explanation:
Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...
AB = 4 cm
AD = 9 cm
The sides are related to the diagonals by the Pythagorean theorem.
<h3>Pythagorean theorem</h3>
The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:
AB² +AD² = BD²
4² +9² = BD² = 16 +81 . . . . . evaluating the squares
BD = √97 . . . . . take the square root
The length of BD is √97 cm, about 9.849 cm.
The midpoint of the line having the endpoints

and

is

basically average them
so given that the line has the endpoints of (-3,7) and (9,-2)
x₁=-3
y₁=7
x₂=9
y₂=-2
so the midpoint can be found by doing



the midpoint is
Answer:
w=15
Step-by-step explanation:
3x-10>4+7x-3
3x-10>1+7x
-4x-10>1
-4x>11
x<-11/4
Hope Your Thanksgiving Goes Well, Here's A Turkey
-TheKoolKid1O1
-2n(5 + n - 8 - 3n)
-10n - 2n² + 16n + 6n²
4n² + 6n