you cant factorise both of them as they have nothing in common
Dan's age is x.
Jack is three years older than Dan, so his age is x+3.
Harold is twice as old as Jack, so his age is 2(x+3).
Harold's age is five times Dan's age.
Jack is 5 years old.
Answer:
The answer is -20.
Step-by-step explanation:
(8 × 5) - (-6 × -10)
= 40 - 60
= -20
Answer:
Moving the glass from one place to other is rigid transformation.
Step-by-step explanation:
The rigid transformation includes rotation, translation, reflection or their combination.
So, Moving the glass from one place to other place is translation. It is example of rigid transformation.
Now, cutting a piece of bread is not rotation or translation or reflection. So, it is NOT rigid transformation.
Squeezing the cherry is not rotation or translation or reflection. So, it is too NOT rigid transformation.
The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes. So first we have to find the slope of the original line. We can do this by solving the equation for y.
5x - 9y = 1
-9y = -5x + 1
y = 5/9x - 1/9
To do the opposite, take the original slope (5/9) and change the sign (-5/9).
To do the reciprocal, take the slope we changed (-5/9) and flip it as a fraction (-9/5).
This gives us a new slope of
