The line is parallel to y = 5/6x + 12
Given
piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide.
What is the area of a piece of plywood .
To proof
Here plywood shape in the form of rectangle.
Formula
Area of rectangle = Length×Breadth
As given in the question
Length =2 feet 8 inches
Breadth = 2 feet 4 inches
First convert feet into inches
1 feet = 12 inches
2 feet 8 inches = 2×12 + 8
= 32 inches
Also
2 feet 4 inches = 2×12 +4
= 28 inches
put is in the above formula
Area of plywood = 32 ×28
= 896 inches²
Therefore option (b) is correct
Hence proved
Answer:
- Dilation
- Reflection
- Translation
- Rotation
- Reflection
- Translation
Step-by-step explanation:
<em>Dilation</em>
Dilation multiplies the distance from a point to the center of dilation by the dilation factor. It does this for every point.
The center of dilation itself has zero distance from the center of dilation. Multiplying that by the dilation factor still gives zero, so the point that is the center of dilation remains unchanged.
<em>Reflection</em>
Reflection mirrors a point across some line. Each point ends up the same distance on the other side of the line that it was originally from the line.
The segment joining a point with its reflection is perpendicular to the line, so the line of reflection is the perpendicular bisector of the segment joining any point with its image.
<em>Rotation</em>
The angle defined by a point, the center of rotation, and the point's image is the angle of rotation. It is the same for every point.
The center of rotation doesn't go anywhere; it is "invariant".
<em>Translation</em>
Moving an image without changing its size or orientation is translation. Every point moves the same distance in the same direction, so any lines in the original figure have the same length and orientation in the translated figure: they are parallel.
I’m 99% sure It is a quadratic function
You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.
3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.
We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).
-2y = 18
18/-2 = -9.
Now we have y = -9, and we can go back into the problems to solve for x.
<span>3x - 4(-9) = 9
</span>
3x + 36 = 9.
3x = -27
x = -9.
Confirm with the final equation:
-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.