The point which does not lie on the circle centered at (3,2) with radius 5 is given below.
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, 2) and r = 5,
hence
(x - 3)² + (y - 2)² = 25 ← equation of circle
If an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.Substitute the coordinates of the points into the left side of the equation of the circle and check validity.
1
(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circle
2
(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circle
3
(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circle
4
(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle
I'm guessing the "regions" are the circles. The one needing the most water conservation devices is the circle in the far left, near California.
The answer would be 1024<span>x5</span>−<span>1
</span><span><span><span>
(<span><span>2x</span><span>(2)</span></span>)</span>5</span>−1</span><span>=<span><span><span>1024<span>x5</span></span></span>−<span>1
I hope this helped ^^</span></span></span>
Answer:
4.2 units
most likely answer choice B
Step-by-step explanation:
(1, 2) and (4, 5)
To find the distance between two points, we use the distance formula:
Let's plug in what we know.
Evaluate the parentheses.
Evaluate the exponents.
Add.
Evaluate the radical.
d = 4.24
Round to the nearest tenth.
d = 4.2 units
*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.
Hope this helps!
From the definition of a function, a function associates every element of the domain to a unique element in the codomain.
In other words, if two elements are equal in the domain, then their images should also be equal.
Since, x represents the number of cars, we consider the universal set as N, the set of all natural numbers.
Let x, y ∈ N and x = y
Then, 0.75x = 0.75y
⇒ f(x) = f(y)
Therefore, images are equal, whenever elements are equal.
Hence, the function f(x) = 0.75x is a function. Also, note that the domain of the function is the set of all natural numbers and the range is the set of real numbers.
