Which part of the water cycle is modeled in the video? (2 points)
1 answer:
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Answer:
TX: 0.23
LA: 0.24
MS: 0.03
AL: 0.03
FL: 0.47
Step-by-step explanation:
In the figure attached, the map is shown.
Total length of the shoreline: 367 + 397 + 44 + 53 + 770 = 1631 miles
probability of the ship landing in Texas: 367/1631 = 0.23
probability of the ship landing in Louisiana: 397/1631 = 0.24
probability of the ship landing in Mississippi: 44/1631 = 0.03
probability of the ship landing in Alabama: 53/1631 = 0.03
probability of the ship landing in Florida: 770/1631 = 0.47
Answer:
Center = (2, 3) radius =
<u>Step-by-step explanation:</u>
When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:
(x-h)² + (y-k)² = r² where
- (h, k) is the vertex
- r is the radius
1) Group the x's and y's together and move the number to the right side
4x² - 16x + 4y² - 24y = -51
2) Factor out the 4 from the x² and y²
4(x² - 4x ) + 4(y² - 6y ) = -51
3) Complete the square (divide the x and y value by 2 and square it)
= 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²
= 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)
= 4(x - 2)² + 4(y - 3)² = -51 + 16 + 36
= 4(x - 2)² + 4(y - 3)² = 1
4) Divide both sides by 4
- (h, k) = (2, 3)