Consider 10 married couples. how many ways can 7 married couples be selected from this group

Mumz [18]

Answer:

(x - 1)² + (y + 1/2)² = 65/4

Step-by-step explanation:

Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:

3 - 1

x = -----------

2

and

-1

y = ----------

2

The center is at x = 1 and y = -1/2: (1, -1/2).

b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):

diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,

radius = (1/2)√65.

square of the radius = r² = 65/4

The general equation of a circle with center at (h, k) and radius r is

(x - h)² + (y - k)² = r². In this case, the equation is:

(x - 1)² + (y + 1/2)² = 65/4

8 0

3 years ago

Finding difference with fractional line plots

Leno4ka [110]

You could just subtract the numbers from the line. It's simple.

7 0

3 years ago

Read 2 more answers

What is the product of a number and 14 plus 10, written as an algebraic expression?

algol [13]

The expression written as an algebraic expression is 14x+10

4 0

2 years ago

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?

Rama09 [41]

Answer:

The simple interest rate is 5%.

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$