There is no discount stated but I'm assuming this problem is the same problem I encountered before.
Original price of the telescope is $99.99
Discount: 13%
$99.99 * 13% = 12.9987 or 13
$99.99 - 13 = $86.99 or $87
New selling price is $86.99 rounded up to the nearest unit $87.00
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Answer: A) 14</h3>
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Explanation:
Let's add point P at the location 0 on the number line.
The distance from L to P is 2 units. We can say LP = 2, ie segment LP is 2 units long.
Similarly, segment PN is 12 units long
Refer to the diagram below
The segments LP = 2 (red) and PN = 12 (blue) are then added to get the total distance from L to N. That total distance being LN = LP+PN = 2+12 = 14.
Point M is not used at all.
Answer:
k = 3
Step-by-step explanation:
If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal
For coordinate AB;
slope m1 = 3 - 3k/k-(-1)
m1 = 3-3k/k+1
For the line 2y+3x = 9
2y = -3x + 9
y = -3/2 x + 9/2
Slope m2 = -3/2
Since m1 = m2
3-3k/k+1 = -3/2
Cross multiply
2(3-3k) = -3(k+1)
Expand
6 - 6k = -3k - 3
-6k+3k = -3 - 6
-3k = -9
k = -9/-3
k = 3
Hence the value of k is 3
Uhh, answer choices?
In any case, since 
is inscribed in a semicircle, it is a right triangle (due to the inscribed angle theorem). Thus, by the Pythagorean theorem, 
Now, the circumradius of a right triangle (the radius of the circle passing through all three of its vertices) is simply half its hypotenuse, so 
