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4 years ago

If (-4,-2) and (2,6) are opposite points on a circle, what is the equation of the circle?

Mathematics

1 answer:

lord [1]4 years ago

6 0

The center is the midpoint of these two points, so is ((-4+2)/2, (-2+6)/2) = (-1, 2). The radius is the distance from the center to either of these points. Its square is 3^2 +4^2 = 25.

The equation of the circle is
.. (x +1)^2 +(y -2)^2 = 25

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Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.

-BARSIC- [3]

Answer:

See below

Step-by-step explanation:

The x-intercepts are the points with y- coordinate of 0

(x - 3)(x + 8) = 0
x - 3 = 0 or x + 8 = 0
x = 3 or x = - 8

a) x-intercepts are

3 and - 8

b) midpoint of x-intercepts is

(3 - 8)/2 = - 5/2 = - 2.5

c) The extheme value has x- coordinate of - 2.5 and y- coordinate

(-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25

d) f(- 2.5) = - 30.25

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2 years ago

What is 9-4x=-23 what's the answer

svetlana [45]

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3 years ago

Timmy takes out a loan for $750 for 15 months, but only receives $725 into his bank account. What is the simple interest rate ad

12345 [234]

Answer:

<u>The annual interest rate advertised by the bank is 2.67% or 0.22% per month.</u>

Step-by-step explanation:

Let's evaluate the information given:

Amount of the loan = US$ 750

Duration of the loan = 15 months

Net amount received by Timmy into his bank account = US$ 725

Interests for the loan = Amount of the loan - Net amount received into bank account

Interests for the loan = 750 - 725

Interests for the loan = US$ 25

Now for calculating the interest rate, we do this operation:

Interest rate = Interests for the loan / Amount of the loan

Interest rate = 25/750 = 1/30 = 0.033 * 100 = 3.3%

But let's remember that this is for the total duration of the loan, 15 months. For calculating the annual interest rate, we do the following operation:

Annual interest rate = Loan interest rate/15 * 12 (We use 12 because the year has 12 months)

Annual interest rate = (1/30) /15 * 12

Annual interest rate = (1/30) * 1/15 * 12 = 1/450 * 12 = 12/450 = 4/150 = 2/75 = 0.0267 * 100 = 2.67% (Rounding to two decimals)

<u>The annual interest rate advertised by the bank is 2.67% or 0.22% per month.</u>

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4 years ago

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