Answer:
A. 90 degrees clockwise rotation
Step-by-step explanation:
Of we have a coordinate axis (x,y), if this axis is rotated 90° clock wide, the resulting coordinate of the pre-image will be the coordinate (y -x). Note that the coordinates was swapped and then the new y coordinate negated.
Given the coordinate K(24, -15). If we rotate this clockwisely, first we swap the coordinate axis to have (-15, 24)
Them we will negate the new y coordinate axis to have;
K'(-15, -24)
Therefore the correct answer is 90° clockwise rotation.
F(-4)=G(-4) because when the two lines cross over the f line is at the -4 and same with G
Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is, (x + 4)
Length decreased by 5, (x + 8 - 5) = (x + 3)
Area = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x = x(x +3) + 4(x +3)
x² + 8x = x² +3x + 4x +12
x² + 8x = x² +7x +12 Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle : x, x + 8
12, 12 +8 = 12, 20
Original rectangle is 20 feet by 12 feet
0≤h(t)≤144, which means that the height of the object can be between 0 and 144 feet, including those limits.
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