All categories

3 years ago

The midpoint of a segment is ( 6, -6) and one endpoint is (13,-1). Find the coordinates of the other endpoint

1 answer:

3 0

So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is:

((x1+ x2)/2, (y1 + y2)/2 {Average of the x coordinates, average of the y coordinates}.

For this problem we know the coordinates of the midpoint along with one of the endpoints.

So the x coordinate of the midpoint (9) must equal (12 + x2)/2.

That is: 9 = (12 + x2)/2 Solve for x2. Follow a similar pattern to find the y coordinate of the unknown endpoint.

You might be interested in

What is the measure of angle x?

KiRa [710]

Answer:

x = 60°

Step-by-step explanation:

We know that ∠H is 30° and we know that ∠J is 90° thanks to the red box. The sum of the angles of a triangle is 180°, so we can use this to solve for x.

x + 30 + 90 = 180

x + 120 = 180

x = 60

Therefore, it is 60°.

5 0

3 years ago

Estimating π. Using random numbers can accomplish many tasks. For example, it is possible to estimate π using Monte Carlo method

velikii [3]

Answer:

Estimations of π/4:

100 points: 0.75

1,000 points: 0.768

10,000 points: 0.7819

Step-by-step explanation:

To get an estimate of π/4 you can place random points in the square [0, 1] × [0, 1] and estimate it as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4).

We do it for 100 xy points and we get:

Point inside the circle area = 75

Estimation of π/4 = 0.75

$\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{75}{100}=0.75$

We do it for 1,000 xy points and we get:

Point inside the circle area = 768

Estimation of π/4 = 0.768

$\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{768}{1000}=0.768$

If we do it fo 10,000 xy points, we get

Point inside the circle area = 768

Estimation of π/4 = 0.768

$\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{7819}{10000}=0.7819$

The value of π/4 (4 decimals) is 0.7854.

The simulation gets more precise with the increase in the number of points.

The spreadsheet and the graphs are attached.

3 0

4 years ago

If an if then statement and its converse are identical, then which shows the form of the statement?

Sauron [17]

Answer:

If both statements are true or if both statements are false then the converse is true. A conditional and its converse do not mean the same thing.

Step-by-step explanation:

3 0

3 years ago

Maria bought apples(a) for $2.32 per pound and bananas(b) for $1.65. She spends $31.42. Write the equation for this situation.

riadik2000 [5.3K]

(2.32a) + (1.65b) = 31.42

6 0

4 years ago

Read 2 more answers

(1) An insurance agency sells various types of insurance policies. 40% of their clients buy auto insurance policies, 30% of thei

yaroslaw [1]

Answer:

55% or 0.55(as a decimal)

Step-by-step explanation:

40% of their clients buy auto insurance policies = P(A)

30% of their clients buy home insurance policies = P(H)

15% of their clients buy both home and auto insurance policies = P( A ∩ H)

The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as

P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)

= 40% + 30% - 15 %

= 70% - 15%

= 55%

Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55

6 0

3 years ago