<span>Given the two end of the diameter of the circle, we are able to compute the center of the circle as 0.5*[(-1,3)+(7,-7)]=(3,-2). The radius of the circle is 0.5*sqrt[(-1-7)^2+(3+7)^2]=sqrt(41). Therefore the equation of the circle is (x-3)^2+(y+2)^2=41.</span>
Answer:
<h2>
He is going to pay 40*900= $36000 for the reservation</h2>
Step-by-step explanation:
Step one:
We are told that they need at least 50 total rooms.
Joe has paid for 16 rooms since Joe can only reserve rooms in block, and a block has 8 rooms, then Joe has paid for 2 blocks.
There is a deficit of 50-16= 34rooms
Required
The Number of blocks Joe need to reserve in addition is 34/8
=4.25
The blocks can not be in decimal, so we need to approximate, which is 5 blocks
Therefore Joe is going to reserve 5*8= 40 rooms
<u>He is going to pay 40*900= $36000 for the reservation</u>
Answer:
i√17 ≈ 4.123106i
Step-by-step explanation:
The square root of a negative number is "i" times the square root of its absolute value. It is an imaginary number.
_____
i is generally the symbol used for √(-1). In some fields, such as electrical engineering, where i has a different meaning, the symbol j may be used instead.
Answer: 4a
Explanation If ‘a’ represents his age today, and you have to find his age in four years you take 4 multiplied a. (4 x a) putting it together and you would get 4a
Answer:
Step-by-step explanation:
Your "y=2xsquared-12x+10" translates into y = 2x^2 - 12x + 10. This factors into y = 2(x^2 - 6x + 5).
Setting this = to 0 results in y = 2(x - 5)(x - 1) = 0, so that the x-intercepts are (5, 0) and (1, 0). The x-coordinate of the vertex lies halfway between x = 1 and x = 5, that is, at x = 3. Using synthetic division to evaluate y = 2x^2 - 12x + 10 at x = 3, we get
3 2 -12 10
6 -18
------------------
2 -6 -8
Therefore, the vertex is located at (3, -8).
Setting x = 0 results in the y-intercept: y = 2(0)^2 - 12(0) + 10 => (0, 10)
