All categories

3 years ago

Point A is at (-5, -4) and point M is at (0, -3.5).

Mathematics

2 answers:

ludmilkaskok [199]3 years ago

7 0

Answer:

The coordinates of point B are (5,-3)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

In this problem

Point A is at (-5, -4) and point M is at (0, -3.5)

$point\ A=(x_1,y_1)\\point\ B=(x_2,y_2)\\point\ M=(0,-3.5)$

substitute in the formula

$(0,-3.5)=(\frac{-5+x_2}{2},\frac{-4+y_2}{2})$

Solve for x_2

$0=\frac{-5+x2}{2}\\x_2=5$

Solve for y_2

$-3.5=\frac{-4+y_2}{2}\\-7=-4+y_2\\y_2=-3$

therefore

The coordinates of point B are (5,-3)

Naya [18.7K]3 years ago

4 0

Answer:

Solve for y_2

therefore

The coordinates of point B are (5,-3)

Step-by-step explanation:

You might be interested in

In one season,Kim ran 18 races. This was four fewer races than twice the number of races Kelly ran. How many races did kelly run

Furkat [3]

Answer:

11 races

Step-by-step explanation:

The reason being that 18 is 4 less than twice the number Kelly ran. 18+4=2x when x equals the races Kelly ran. so, 18+4=22 so 22=2x. if you divide each side by 2, you get 11=x. so, kelly ran 11 races

5 0

3 years ago

Read 2 more answers

Find the probability of rolling divisors of 24

Monica [59]

Answer:

5/6 is the probability

Step-by-step explanation:

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24 and rolling a 6-sided die you can get 1, 2, 3, 4, 5, 6 so 5 is the only thing you can roll that isn't a factor of 24 so

4 0

2 years ago

Find the area of the figure below by first finding the areas of the rectangle and triangles.

masha68 [24]

a. The area of the rectangle: 16 units²

b. The area of the triangle on the left: 6 units²

c. Area of the triangle on the right: 10 units²

d. Area of the figure: 32 units²

<h3>What is the Area of a Rectangle and a Triangle?</h3>

Area of a rectangle = (l)(w)
Area of a triangle = 1/2bh

a. l = 4 units

w = 4 units

Area of the rectangle = (4)(4) = 16 units²

b. b = 3 units

h = 4 units

Area of the triangle on the left = 1/2(3)(4) = 6 units²

c. b = 5 units

h = 4 units

Area of the triangle on the right = 1/2(5)(4) = 10 units²

d. Area of the figure = 16 + 6 + 10 = 32 units²

Learn more about the area of a rectangle and a triangle on:

brainly.com/question/446826

#SPJ1

6 0

2 years ago

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Gnesinka [82]

Answer:

Step-by-step explanation:

If a square has 4 sides and the perimeter is 12x + 52, you have to divide 12x + 52 by 4 to get the length of a single side

12x / 4 = 3x

52 / 4 = 13

3x + 13

8 0

3 years ago

The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula

Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015 = 45,000

⇒ The change in population in 10 years

= Population in year 2015 - Population in the year 2005

= 45,000 - 15, 000

= 30,000

⇒ The change in population in 10 years = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

⇒ The change in population in each 10 years = 30,000

⇒ The change in population in next 10 years

= Population in year 2025 - Population in the year 2015

or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0

3 years ago