Answer:
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
Step-by-step explanation:
Quadrant :
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants.
Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane.
Numbering is done in Anticlockwise
Quadrant I - x-coordinate is Positive , y-coordinate is Positive.
Quadrant II - x-coordinate is Negative , y-coordinate is Positive.
Quadrant III - x-coordinate is Negative , y-coordinate is Negative.
Quadrant IV - x-coordinate is Positive , y-coordinate is Negative.
Therefore,
( 2 , -3 ) Lies in Quadrant IV.
Answer:

In other words, the base must be at least 9 feet long.
Step-by-step explanation:
The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.
Recall that the area of a triangle is given by:

Since we want to area to be at least 36 square feet:

We are given that the height is eight feet. Substitute:

Simplify:

Divide both sides by four. Hence, our inequality is:

In words, this means that the base must be at least 9 feet long.
Answer:
4(3 + 2x)(-3 + 2x)
Step-by-step explanation:
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