<span>"Pure translational" motion means the object is moving from place to place but isn't rotating at all. Mathematically, that means every point on the object has the same velocity vector as every other point on the object. For example, say you have a box that's sliding along the ground, and say each corner on the box is moving at 15 feet per second at an angle of 26 degrees west of north. Since every point on the box has the same velocity vector, the motion is "pure translational."
"Pure rotational" motion means the object is rotating, but its position in space isn't changing. Mathematically, that means that every point on the object moves in a circle around some axis (usually through the object's center of mass).
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Answer:
y = 9
Step-by-step explanation:
When the line crosses y-axix, x-co ordinate = 0
y = -4*0 + 9
y = 0 + 9
y = 9
2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
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Explanation:
The inequality means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.
So , Inverse of is .
<u>Step-by-step explanation:</u>
An inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g(y) = x. As an example, consider the real-valued function of a real variable given by f(x) = 5x − 7. In functional notation this inverse function would be given by,
With y = 5x − 7 we have that f(x) = y and g(y) = x. Here we have
⇒
⇒
Let f(x) = y:
⇒
⇒
⇒
⇒
So , Inverse of is .
Answer:
The height of the tank is 20 inches.
Step-by-step explanation:
The fish tank is a parallelepiped wich volume equals to the product of it's three dimensions, the width, length and height. So the formula to the volume is:
V = width*length*height
In this problem we know the volume, the width and the length and we want to know the height, so we can isolate the variable we want to know, such as:
height = V/(width*length) = 3360/(14*12) = 3360/168 = 20 inches
The height of the tank is 20 inches.