<span>x² +y² -4x -6y +8=0
(x² -4x) +(y² -6y) = -8
We are going to complete square for x and y,
it should look like a²+2ab+b² = (a +b)², or </span>a²-2ab+b² = (a -b)²,
<span>
(x²-2*2x+2²) -2² + (y²-2*3y +3²)-3²=- 8
(x-2)²+(y-3)²-4-9=-8
</span>(x-2)²+(y-3)²=-8+13
(x-2)²+(y-3)²=5
<span>
Formula a circle (x-h)²+(y-k)²=R², where vertex has coordinates (h, k)
So , for our circle vertex (2,3) and radius = </span>√5<span>
</span>
Answer:
a. $5.43
b. $141.25
c. $8.75
Step-by-step explanation:
First you find the total amount you it cost for all the items
$135.82 + 4% = $141.25
You give three $50 dollar bills
50 * 3 = 150
$150 is the amount you give
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141.25 - 135.82 = 5.43
$5.43 is the amount of the sale price
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To find the amount is cost for all the items you add the sales tax + the original price
$135.82 + 4% = $141.25
$141.25 is the amount including the tax
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Subtract
150 - 141.25 = 8.75
So you will get $8.75 back
Answer:
(A)If the points are on the same line, then the points are collinear. True
Step-by-step explanation:
Given the conditional statement:
- Collinear points are on the same line.
Its converse will be:
- If the points are on the same line, then the points are collinear.
This is true because by definition of collinearity, the points must be on the same line. Therefore, no counter example is needed.
<u>The correct option is A.</u>
