(x−a)(x−b)
=(x+−a)(x+−b)
=(x)(x)+(x)(−b)+(−a)(x)+(−a)(−b)
=x2−bx−ax+ab
<h2><u><em>
=ab−ax−bx+x2</em></u></h2>
The origin is at the point (0,0). Therefore, the y-intercept will be 0. For two points to be perpendicular, the slopes must be opposite reciprocals of each other. .5 can be seen as 1/2, so the reciprocal is 2, and it is positive, making that 2 negative. Your equation would be y = -2x.
I can't see where the one is bur if its on the top left it corresponds with 5 then
Answer: 
and 
is a right angle .
Step-by-step explanation:
Given : A reflection is a transformation that maps point Q in a figure over a line, AB, such that for point C at the intersection of AB and QQ'.
We know that reflection creates a image equidistant from the line of reflection.
Thus,
Also in reflection , a line drawn from the point is perpendicular to the line of reflection.
Therefore, is a right angle
Answer:
length = 7 meters
Step-by-step explanation:
l = length
w = width
w = 3×l - 6
l×w = 105 m²
l×(3×l - 6) = 105
3×l² - 6×l = 105
l² - 2×l = 35
l² - 2×l - 35 = 0
solution of a squared equation is
(-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = -2
c = -35
(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =
(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6
l1 = 1+6 = 7 meters
l2 = 1-6 = -5 meters, which did not make any sense for an actual object.
so, l = 7 meters remains.
