Let 
, so that differentiating both sides wrt 
gives
If 
and 
, the above reduces to
This is the slope of the tangent line, which has equation
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.
Answer:
Garden eel, Great white shark, sea urchin, Sea turtle
Step-by-step explanation:
Given that:
Animal ____ altitude
Sea turtle __ - 502
Sea urchin __ - 452
Garden eel __ - 396
Great white shark __ - 430
Arranging in decreasing order of elevation :
-396 > - 430 > - 452 > - 502
Hence, the animals can be arranged in decreasing order of elevation thus :
Garden eel, Great white shark, sea urchin, Sea turtle
To draw line HI perpendicular to JK we need to follow the given steps:
Place your compass on the given point (point H). Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc.
From each arc on the line, draw another arc on the opposite side of the line from the given point (H). The two new arcs will intersect.
Use your ruler to join the given point (H) to the point where the arcs intersect (I).
HI is perpendicular to JK.
What is perpendicular?
Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.
Properties of Perpendicular Lines
- These lines always intersect at right angles.
- If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
- Adjacent sides of a square and a rectangle are always perpendicular to each other.
- The sides of the right-angled triangle enclosing the right angle are perpendicular to each other.
To learn more about perpendicular lines,
brainly.com/question/1202004
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Step-by-step explanation:
(x10,y-2), reflection over y=1
