Answer:
56.3 kilometers per hour
Step-by-step explanation:
We know D = RT
where
D is distance
R is rate (speed)
T is time
Let's Bill's rate be "x". Thus using equation we can write:
D = xt
We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:
D = (21.1 + x)t
D = 21.1t + xt
Now, putting t = 1 in both since after 1 hour given, we have:
D = x(1)
D = x
and
D = 21.1(1) + x(1)
D = 21.1 + x
We know the sum of both the distance is 133.7, so we can write:
x + 21.1 + x = 133.7
Solving for x:
2x = 133.7 - 21.1
2x = 112.6
x = 112.6 / 2
x = 56.3 km/hr
This is Bill's rate: 56.3 kilometers per hour
Answer:
(0,-9)
Step-by-step explanation:
The image of a point 
over a line 
is given by the co-ordinate rule:
→ 
So, when we reflect a point over the line , the x co-ordinate and y co-ordinate change their places.
Here, is 
. So, from the above rule, after reflection over the line , the image has the following co-ordinates:
Since the measure of angle 
is 
The measure of its reference angle = 
=
Now we have to compute the value of 
The value of (
) lies in the fourth quadrant. In fourth quadrant, the value of tan is always negative.
So, 
= -1.
Answer:
D) bx - a
Step-by-step explanation:
If a/b is a zero, then (x -a/b) is a factor of the polynomial. That is, the value x=a/b will make a factor of the polynomial be zero.
The above factor can be written without fractions by multiplying it by b:
(bx -a) . . . . matches choice D
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You can also choose the answer on the basis of which expression becomes zero when x=a/b.
