After rotating a point C 90° counterclockwise about the origin the coordinates of C' would be (-2, 1)
In this question, we have been given a triangle ABC.
A point C is at (1, 2)
The triangle is rotated counter clockwise 90° about the origin.
We need to find the coordinates of C' which is image of vertex C after rotation.
We know that, if we rotate a point 90° counterclockwise about the origin a point (x, y) becomes (-y, x).
Here C(1, 2) is rotated 90 degrees counterclockwise about the origin.
So, the coordinates of C' would be,
C' = (-2, 1)
Therefore, after rotating a point C 90° counterclockwise about the origin the coordinates of C' are (-2, 1)
Learn more about the rotation here:
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100% - 20% = 80%
$26.95 * 80% = $21.56
You multiply by 80% because you are taking 20% off and now want to know what 80% of the price will be.
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Answer: A) Dashed line, shaded below</h3>
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Explanation:
2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).
The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16
To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".
We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.
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Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.
Plug those coordinates into either equation. I'll pick the second equation
y < -0.5x+4
0 < -0.5*0+4
0 < 0+4
0 < 4
The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4
So this is another way to see that the shaded region is below the boundary line.
Answer:
3 MIN AND 46 SECONDS. ITHINK BUT DONT QUOTE ME
Step-by-step explanation:
Answer:
-14-6=-20
Step-by-step explanation:
the negative sign gives you a negative 6, which you can subtract from -14, giving you -20.
