Answer:
According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take
Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where
Step-by-step explanation:
Answer:
B. The graph has no zeros.
Step-by-step explanation:
2x - 3(x-1) = -1
2x -3x + 3 = -1
-1x + 3 = -1
-1x = -4
x = 4
y = 4 - 1
y = 3
Answer:
<u>The correct answer is A. 3,120.</u>
Step-by-step explanation:
Let's solve the expression for x = -5 and y = 25, this way:
(5|x| - y³)/x
Replacing x and y, we have:
(5 * 5 - 25³)/-5 (Absolute value of -5 is 5 in the numerator but we keep it without changes in the denominator)
(25 - 15,625)/-5
-15,600/-5
3,120
<u>The correct answer is A. 3,120.</u>
Answer:y=5x+8
Step-by-step explanation: the perpendicular slope is going to be the negative reciprocal of your given slope. In this case the perpendicular line has a slope of 5, because u flip -1/5 to make -5 and u negate -5 to make 5. This perpendicular slope passes through (-2,-2) and u find the y intercept like this: -2=(5(-2))+b. Therefore the y intercept is 8 and the perpendicular slope is y=5x+8
