Step-by-step explanation:
x² + y² − 8x + 10y − 8 = 0
Rearrange:
x² − 8x + y² + 10y = 8
To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.
(-8/2)² = 16
(10/2)² = 25
x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25
x² − 8x + 16 + y² + 10y + 25 = 49
Factor the squares:
(x − 4)² + (y + 5)² = 49
The center is (4, -5) and the radius is 7.
Answer:3003
Step-by-step explanation:
14 choose 6 is 3003 because 14!/6!(14-6)!=9*10*11*12*13*14/6!=3003
Answer:
School buses range anywhere from 20 to 45 feet in length ok?
Answer:
1. Number 1 and 2 and 4 is a function, 2. number 1 is a function
Step-by-step explanation:
1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.
2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.
Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.
Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.
Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.
The vertical test is a way to determine if it is a function.
When looking at a table functions are one-to-one and many-to-one
Non-functions are one-to-many and many-to-many
Hoped this helped you : )
<h3><u>1. Find the permutation of the word LOVE taken 2 letters at a time.</u></h3>
<h2><u>ANSWER</u><u> </u><u>IS</u><u> </u><u>C.12</u></h2>
<h2>--------------------------------------------------------------------------------</h2>
<h3><u>2. If 3 girls enter a jeepney in which there are 7 vacant seats, how many ways are there for them to be seated?</u></h3>
<h2><u>ANSWER</u><u> </u><u>IS</u><u> </u><u>B.210</u></h2>
<h2>--------------------------------------------------------------------------------</h2>
<h3><u>3. How many combinations can be made from the letters of the word MOTHER taken 4 at a time.</u></h3>
<h2><u>ANSWER</u><u> </u><u>IS</u><u> </u><u>A.15</u></h2>
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<h3>→XxKim02xX</h3>
