9514 1404 393
Answer:
15 in, 36 in, 39 in
Step-by-step explanation:
The Pythagorean theorem tells us that for short side x, the relation is ...
(2x +9)² = (2x +6)² +x²
4x² +36x +81 = 4x² +24x +36 +x²
x² -12x -45 = 0 . . . . . subtract the left-side expression
(x -15)(x +3) = 0 . . . . factor
x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero
The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.
P = 2m + 2w
Add -2w on both sides of the equations
2m = p - 2w
Divide both sides by 2
2w = p = 2m
/ 2 /2
m = 1 / 2 p - w
-10x-10 = -3x+4
+3x +3x
————————
-7x-10 = 4
+10 +10
————————
-7x = 14
then divide -7 on both side of the equal sign
you’ll get x=-2
then plug in -2 as x into one of the equations ( it doesn’t matter which one)
y= -10(-2)-10 = 20-10= 10
so y=10
Answer:
(2, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 
(x₁ + x₂ ) , (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus
midpoint = [ (5 - 1), (8 - 4 ) ] = (2, 2 )
Because 5 +2 is 7 and seven to the second power is 49. On the other hand 5 squared is 25 and 2 to the second power is 4 when you ad them together you get 29 you are taking to completely different numbers to the power of two and that’s why they aren’t equal
