Answer:
The triangle is
Step-by-step explanation:
To find the distance between her home and her latest position:
According to the question, the diagram is,
Consider the right triangle,
AB=120 km
BC=50 km
To find AC:
Using Pythagoras theorem,
Hence, the distance between the new position and her home is 130 km.
Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
B = g + 12
g + b = 124
Replace the b in the second equation with
g+ 12
g+ g+12=124
2g + 12 = 124
Subtract 12 from both sides
2g = 112
Divide by 2
g = 56
b= 56 + 12
b= 68
16500 grams cuz i just used google lol
