Answer:
Step-by-step explanation:
point - slope formula: y - y1 = m(x-x1)
we need to find the slope ... or what is m ?
m = rise / run
m = y2 - y1 / x2 - x1
where the given points are (x1,y1) and (x2,y2)
m= 7-5 / 6-5
m = 2 / 1
m =2
now use either point and plug the slope and the point into the point-slope formula
y-5 =2(x-5) :)
Given:
The quadratic equation is:

To find:
The solutions of the given equation.
Solution:
We have,

Splitting the middle term, we get



Using zero product property, we get
and 
and 
Therefore, the solutions of the given quadratic equation are -6 and 5.
Answer:
a. 
b. 
c. They are equivalent
Step-by-step explanation:
a. The trapezoid can be divided into two triangles and one rectangle. For the three figures, the height is 12ft. For the rectangle, the dimensions are 12ftx10ft. Since the legs are of the same length the triangles have a base of 9ft (because the rectangle takes 10 feet from the base of 28 feet and there are 18 feet left over, these 18 are divided equally between the two triangles).



b. The formula is

c. They are equivalent