Explain the steps needed to determine the value of the expression below. 3(y-4)-7y+3/4
1 answer:
You might be interested in
Answer:
(a³ - 6b)
Step-by-step explanation:
=
= (a³ - 6b)
Transformation involves changing the position of a shape.
The transformation from to
is 90 degrees clockwise rotation
Using the coordinates of A and A', we have:
Notice that the x-coordinate is <em>negated </em>and then <em>swapped </em>with the y-coordinate.
i.e.
The transformation of a point from <em>(x,y) to (y,-x)</em> is a 90 degrees clockwise rotation.
Hence, the transformation from to
is 90 degrees clockwise rotation
Read more about transformations at:
Answer:
- B) One solution
- The solution is (2, -2)
- The graph is below.
=========================================================
Explanation:
I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.
Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.
--------
To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,
y = (-3/2)x+1
y = (-3/2)*0+1
y = 1
The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.
