Answer:
The equation is
X²+2x-48 = 0
Shorter one is 6 inches
Other side= 8 inches
Step-by-step explanation:
The equation for a right angle triangle normally is
A² = B² + C²
Where A = hypotenuse
Then B and C are the order sides of the triangle.
This time
Hypotenuse= 10 inches
The shorter one is X
While the other one is X+2
The equation
10²= x² +(x+2)²
100= x² + x² + 4x +4
100 - 4 = 2x² +4x
96= 2x² +4x
48 = x² +2x
X²+2x-48 = 0
Solving for x
X² +8x-6x-48= 0
X(x+8)-6(x+8)=0
(X-6)(x+8)= 0
X= 6 or x= -8
Definitely x is posiy
So x= 6
Shorter one is 6 inches
Other side= 6+2= 8 inches
Feet, its in a larger scale, and jump ropes are long objects.
Answer:
The center of circle D is (-0.5,3)
Step-by-step explanation:
Given the end points of diameter: (-5,8) and (4,-2)
To find: Center of the circle.
Center is in the middle of the diameter. Therefore we have to find the midpoint of the diameter.(refer figure)
Midpoint of a line with end points (x1, y1) and (x2, y2) is given by
( 
, 
)
( 
, 
)
(-0.5,3)
Hence the center of circle D is ( -0.5,3)
12x^2-4x-5=0
12x^2+6x-10x-5=0
6x(2x+1)-5(2x+1)=0
(6x-5)(2x+1)
6x-5=0 , 2x+1=0
6x=5 , 2x=-1
x=5/6 , x=-1/2
