Note: you have not added the image, so I am assuming the quadrilateral MNOP with coordinates M(-4, 0), N(5, -3), P(2, 6) and O(-5, 7). It will anyhow clear your concept as I would explain the concept of reflection over the x-axis.
Step-by-step explanation:
Considering the quadrilateral MNPO with assumed vertices
THE RULE OF REFLECTION states that when we tend to reflect a point let say (x, y), across the x-axis, the x-coordinate does not change or transform, but the y-coordinate is changed into its opposite sign i.e. (x,-y).
So, the coordinates of the point in the image after quadrilateral MNPO is reflected over the x-axis will be:
M(-4, 0) M'(-4, 0)
N(5, -3) N'(5, 3)
P(2, 6) P'(2, -6)
O(-5, 7) O'(-5, -7)
Hope, it will help you clear your concept regarding reflection of an object over the x-axis. Using this understanding, you can solve any other question related to this topic.
1 x) = (x + 3)2 + 3
2x) = (x - 3)2 - 6
OD. 10) = (x - 3y2 +3
Why
Answer:
Step-by-step explanation:
The correct question is
Which equation represents a parabola that opens upward, has a minimum value of y=3, and has an axis of symmetry at x= 3?
Verify each case
case 1) we have
This a vertical parabola open upward (the leading coefficient is positive)---> is ok
The vertex represent a minimum ---> is ok
The vertex is the point (-3,-6)
The minimum value of y=-6 ----> is not ok
The axis of symmetry is x=-3 ----> is not ok
case 2) we have
This a vertical parabola open upward (the leading coefficient is positive)---> is ok
The vertex represent a minimum ---> is ok
The vertex is the point (-3,3)
The minimum value of y=3 ----> is ok
The axis of symmetry is x=-3 ----> is not ok
case 3) we have
This a vertical parabola open upward (the leading coefficient is positive)---> is ok
The vertex represent a minimum ---> is ok
The vertex is the point (3,-6)
The minimum value of y=-6 ----> is not ok
The axis of symmetry is x=3 ----> is ok
case 4) we have
This a vertical parabola open upward (the leading coefficient is positive)---> is ok
The vertex represent a minimum ---> is ok
The vertex is the point (3,3)
The minimum value of y=3 ----> is ok
The axis of symmetry is x=3 ----> is ok
Answer:
Step-by-step explanation:
Hope this Helps ;)
for $95.94. The crate had 6 boxes of floor tiles. Each box
1. contained 20 floor tiles. Write and solve an
equation to determine the cost per box, b. Then
write and solve a second equation to determine the cost per tile, t, to the nearest cent.
2. A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and
costs $1.28. Brand B contains 12 fluid ounces and costs $1.68. What is the difference in cost, in
dollars, per fluid ounce between the two brands of juice?
Answers with working:
1.
Cost of a crate of floor tiles = $95.94
The crate has 6 boxes of floor tiles. This means 6 boxes of tiles cost $95.94
Now each box has 20 floor tiles.
So, total tiles in a box are : tiles
Now, cost of 6 boxes = $95.94
So, cost of 1 box (b) = = $15.99
20 tiles cost $15.99
Hence, 1 tile (t) will cost = = $0.799 ≈ $0.80
2.
Brand A contains 8 fluid ounces and costs $1.28.
Cost of per fluid ounce = = $0.16
Brand B contains 12 fluid ounces and costs $1.68.
Cost of per ounce = = $0.14
Difference between both the per ounce costs = = $0.02
looking at the graph, the y intercept (or where it crosses the y axis) is -2
the slope = change in y/ change in x
from one point to the next, we go up one, to the right one
(up and right are positive, down and left are negative)
= +1/+1
m =1
slope intercept form of a line
y = mx+b
m is the slope, b is the y intercept
y = 1x -2
y = x-2
Answer: y = x-2
- 2lb 10oz