The line 
is already written in the 
form. This means that 
is the slope. If two lines are perpendicular, their slopes are the anti-inverse of each other, i.e. their product is -1.
So, our perpendicular line has a slope of 
Finally, we want a line passing through (1,1) with slope :
Answer:
1/5,1/4,1/20, yes, yes
Step-by-step explanation:
The volume of the second prism is also ten times the volume of the first prism.
Let's assume that both prisms have:
width = 3 units
height = 4 units
Prism 1 length = 5 units
Prism 2 length = 50 units
Let's solve their respective volumes to compare...
Volume of prism 1 = length * width * height
= 5 * 3 * 4
= 60 units ^3
Volume of prism 2 = 50 * 3 * 4
= 600 units ^3
Prism 2/ prism 1 = 10
That means prism 2 is ten times the volume of prism 1.
Answer:
C
Step-by-step explanation:
Volume of a pyramid = 1/3 base area * height
= 1/3 (8 * 10)(12)
Answer:
x = 3.3 and -0.3
Step-by-step explanation:
Given the expression
1/x-4 + x/x-2=2/x^2-6x+8
Find the LCM
x-2+x(x-4)/(x-4)(x-2) = 2/x^2-6x+8
Since the denominator, are the same they cancels out
x +1 + x(x-4) = 2
x+1 + x²-4x = 2
x²-3x + 1 - 2 = 0
x² - 3x - 1 = 0
Factorize
x =3±√9+4/2
x =3±√13/2
x = 3±3.6/2
x= 6.6/2 and -0.6/2
x = 3.3 and -0.3
