Answer:
The answer in the procedure
Step-by-step explanation:
we know that
The rule of the reflection of a point over the y-axis is equal to
A(x,y) ----->A'(-x,y)
That means -----> The x-coordinate of the image is equal to the x-coordinate of the pre-image multiplied by -1 and the y-coordinate of both points (pre-image and image) is the same
so
A(3,-1) ------> A'(-3,-1)
The distance from A to the y-axis is equal to the distance from A' to the y-axis (is equidistant)
therefore
To reflect a point over the y-axis
Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis
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:
RS = 75.3
Step-by-step explanation:
You need to set up the proportion of corresponding sides.


7(RS) = 31(17)
= 527
RS = 527/7 = 75.2857...
= 75.3
Answer:
The mean is 85.25
The medium is 86
The mode is 92
Step-by-step explanation:
The mean is all the numbers added divided by the number of values.
77 + 92 + 80 + 92 divided by 4
341 divided by 4 = 85.25
The median is the middle number
92 + 80 divided by 2
172 divided by 2 = 86
The mode is the number that occurs the most which is 92.
Answer:
Yes.
Step-by-step explanation:

( I will have to replace all
's in
with
)






So the answer is yes.