Range definition:
The difference between the smallest term and the largest term in the data set is called the range.
Answer: Range
tan( tehta ) = 2/3
Sin( tetha ) = 2/√13
tan( tetha ) + Sin( tetha ) = 2/3 + 2/√13
= 2√13 + 6 / 3√13
f(x) = (x - 4)^2 - 1
g(x) = -(1/4) ( x - 4)^2 + 4
both the x and y values have to be the same. Start with the y values
f(x) = g(x)
(x - 4)^2 - 1 = -(1/4) (x - 4)^2 + 4 Add 1 to both sides.
(x - 4)^2 = -(1/4) (x - 4)^2 + 5 Add 1/4(x - 4)^2 to both sides.
(5/4) (x - 4)^2 = 5 Divide by 5/4 on both sides.
(x - 4)^2 = 5//(5/4)
(x - 4)^2 = (5/1)//5/4 Invert the second fraction and multiply
(x - 4)^2 = 5/1 * 4/5
(x - 4)^2 = 4 The 5s cancel
(x - 4)^2 = 4 Take the square root of both sides.
(x - 4) = +/- 2 Add 4 to each answer. Start with +2 on the right.
x - 4 + 4 = 2 + 4
x = 4 + 2 = 6
The x value that makes f(x)- g(x) = 0 is x = 6 The point is (6,3) answer.
Answer C.
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You do not need this next part. It is just for completeness.
x - 4 = - 2
x = 4 -2
x = 2
What are the y values for these 2 x values?
y = (x - 4)^2 - 1
y = (6 - 4)^2 - 1
y = 4 - 1
y = 3
The point where f(x) - g(x) = 0 is (6,3) <<<<<< Answer 1
The second point is
y = (x - 4)^2 - 1
y = (2 - 4)^2 - 1
y = (-2)^2 - 1
y = 4 - 1
y = 3
The second point is (2,3). Answer 2
Note the y values are the same. You might expect that.
Answer: 
Step-by-step explanation:
<u>Given expression</u>
![\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cfrac%7B12%5B30%20-%20%289%2B4%5E2%29%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
<u>Simplify the exponents</u>
![\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B30%20-%20%289%2B16%29%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
Simplify values in the parenthesis
![\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B30%20-%2025%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
![\large\boxed{=\frac{12[5]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
<u>Simplify absolute values (all positive)</u>
![\large\boxed{=\frac{12[5]}{10-6 } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B10-6%20%7D%20%7D)
![\large\boxed{=\frac{12[5]}{4 } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B4%20%7D%20%7D)
<u>Simplify by division</u>
![\large\boxed{=3~[5]}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D3~%5B5%5D%7D)
<u>Simplify by multiplication</u>
Hope this helps!! :)
Please let me know if you have any questions
Answer:
The area is equal to 666km²
Step-by-step explanation:
Multiply 18 by 37 to get 666.
