To solve the quadratic by complete square method we proceed as follows:
x²-6x+7=0
this can be written as:
x²-6x=-7
but
c=(-b/2a)^2
c=(-(-6)/2)^2=9
next we add 9 on both sides of our expression to get:
x²-6x+9=-7+9
x²-6x+9=2
factoring out the LHS we get:
(x-3)(x-3)=2
(x-3)²=2
getting the square root of both sides we obtain:
x-3=+/-√2
hence:
x=3+/-√2
Answer: It can be calculated by using the formula of perimeter and by adding four sides
1) Perimeter= 2(L+B)= 8n+12
2) Perimeter= L+L+L+L= 4L= 8n+12
Step-by-step explanation:
As it is a square playground all its sides are equal
Perimeter of the sidewalk = 2(L+B)= 2(2n+3+0.5)= 2(2n+3.5)= 4n+7
Perimeter of the square playground= <em><u>2(L+B)</u></em>= 2(2n+3+2n+3)
<em>2(4n+6)= 8n+12-------------------------A</em>
Perimeter of the square playground<u><em>= L+L+L+L=4L</em></u> 42n+3+2n+3+2n+3+2n+3=<u><em>4(2n+3)= 8n+12------------------------B</em></u>
Answer: Sometimes
Step-by-step explanation:
This is a very tricky question. We know that in an isosceles triangle, two sides are the same. Because of this, we know that the right angle is always 90 degrees, and the other sides would be 45 degrees each because all triangles add up to 180 degrees. A right triangle could also be scalene, meaning none of the sides are the same, for example a scalene triangle could have sides of 44, 46, and 90 degrees. Rest assured, a right triangle will never be equalateral. Hope this helps :) Merry Christmas
Answer:
If you consider what the slope looks like for a vertical line, it is an infinite slope. What that means is that you cannot have a y-value in your equation:
x = 3
This x-value would be a vertical line that passes through all y-values for x = 3. So you can replace them in (3, y) with any value, and it will be included in the linear equation x = 3.
