Answer:
The displacement of a figure or a shape from one place to another is called translation, which means a figure can be moved upward, downward, left, right, or anywhere in the coordinate system using translation. While translating, all the points will shift by the same number of units.
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Answer:
It is the third option. (the one which has a black point at X=1, Y=1)
Step-by-step explanation:
For simplicity what you should do is, you should satisfy the second condition that is, y=0 if x=1.
Here only the third option is satisfying this condition.
Whenever there is is a white circle or a white point it means that the point does not satisfy the condition and the the function is not defined at that point. And the black point means that the circle is defined at that point and satisfies the condition.
Henceforth, the correct answer is the third option.
Answer:
324π in²
Step-by-step explanation:
The surface area of a sphere = 4πr² ( r is the radius )
Calculate r using the volume (V) formula
V =
πr³
Here V = 972π , thus
πr³ = 972π ( divide both sides by π )
r³ = 972 ( multiply both sides by 3 to clear the fraction )
4r³ = 2916 ( divide both sides by 4 )
r³ = 729 ( take the cube root of both sides )
r =
= 9
Thus
surface area = 4π × 9² = 4π × 81 = 324π in²
Answer:

Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we simply apply sin formula which is:

In this case, it is:


Take arcsin of both sides


--- approximated
It is 5:9 in simplest form