Positive
step by step explanation
Perpendicular (opposite slope)
only you have to do it flip the original slop and change the sign
original slop is -3x (filp it)
and change the sign (negative) become (positive)
is the perpendicular slop of the original line
remember
opposite slop (perpendicular line)
Same slop (parallel line )
y intercept is doesn't matter will be same or will be different
hope it will help you
Answer:
D’=(3,3); F’=(-2,-2); E’= (-5,0)
Step-by-step explanation:
To find the reflection over the y axis (the line x=0), you just need to change the x either from positive to negactive or the opposite.
Answer:
101.98 yards.
Step-by-step explanation:
Please refer to the diagram that I drew (sorry for the messiness; I do not own a stylus and so I was using my mouse to try to draw it).
Since the triangle is a right triangle, you can use SOH CAH TOA. In this case, you are trying to figure out the opposite length, but you are given the adjacent. So, we will use tangent to solve this (TOA = Tangent, Opposite over Adjacent).
The angle is 22.6 degrees, and the tangent of the angle is equivalent to the opposite length, x, divided by the adjacent length, 245 yards.
tan(22.6) = x / 245
x / 245 = tan(22.6)
x = tan(22.6) * 245
x = 0.4162598242 * 245
x = 101.9836569
So, you are about 101.98 yards from the cabin.
Hope this helps!
The rate of Sue is 1 car per hour: 1 (c/h)
then the rate of Steve is 2 (c/h) , because Steve works faster, he can wash twice the number of cars, for the same amount of time.
Thus If Steve and Sue work together, they can wash 1 + 2 = 3
(cars per hour).
That is, the rate of Steve and Sue working together, is 3 (c/h).
In the first 30 minutes, Sue washes half of the car.
The remaining half will be washed at a rate of 3 (c/h)
The main formula is Work = Time * Rate
where Work is washing (1/2)c, and rate is 3(c/h)
Time=Work/Rate =
1/ 6 h =(1/6)*60 min = 10 min
Answer: 10 min