The midpoint of AB is M(4,0). If the coordinates of A are (3, -1), whatare the coordinates of B?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

B (5,1)

Answer 2
Answer:

Final answer:

By using the midpoint formula in reverse, we calculate the coordinates of point B to be (5, 1), given the midpoint M(4,0) and one endpoint A(3,-1).

Explanation:

In mathematics, the midpoint formula is commonly used to determine the middle point between two given points. The formula is M = [(x1+x2)/2 , (y1+y2)/2]. In this scenario, we are given the midpoint M(4,0) and one endpoint A(3,-1). We need to find the coordinates of the other endpoint, B. By using the midpoint formula in reverse, we can calculate for x2 and y2. Thus, the x-coordinate of B would be 2x - x1, so 2*4 -3 = 5. The y-coordinate of B would be 2y - y1, so 2*0 - (-1) = 1. Therefore, the coordinates of B are (5, 1).

Learn more about Midpoint Formula here:

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Que tanto porciento de 28 es 49?

Answers

Answer:

24.5

Step-by-step explanation:

Lo pongo a mitad de camino, así que básicamente la mitad de 49 es 24.5

Espero que esto ayude

*I hope this helped*

Si necesita ayuda, hágamelo saber!

*If you need help just let me know*

Que tengas un gran día! :)

Answer:

58%

Step-by-step explanation:

Lo siento. No soy bueno con el español, así que estoy usando translate. Espero que esté bien.

Entonces, para esta ecuación, usaremos un porcentaje igual o superior a 100 como se indica aquí. ((es)/(de) = \frac{porciento} {100}) Entonces tu ecuación es (28)/(49) = (x)/(100)

Multiplicará 28 por 100, lo que le dará 2800. Luego, dividiría 2800 entre 48, lo que le daría 58. Entonces, su respuesta sería x = 58%.

Lo siento si no entiende algo de esto porque los traductores no siempre son correctos. Pero espero que esto haya ayudado :)

Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, and the length is 5 feet more than twice the width. The perimeter of the lawn is 250 feet. a. find the dimensions of the lawn.

b. Use the dimensions you calculated in part (a) to find the area of the lawn.

Answers

Answer:

Part A) The dimensions of the lawn are

L=85\ ft, W=40\ ft

Part B) The area of the lawn is 3,400\ ft^(2)

Step-by-step explanation:

Let

L------> the length of the rectangular lawn

W----> the width of the rectangular lawn

Part A) Find the dimensions of the lawn

we know that

The perimeter of a rectangle is equal to

P=2(L+W)

we have

P=250\ ft

so

250=2(L+W) -------> equation A

L=2W+5 -----> equation B

substitute equation B in equation A

250=2(2W+5+W)

250=4W+10+2W

6W=250-10

W=40\ ft

find the value of L

L=2W+5 -----> L=2(40)+5=85\ ft

Part B) Use the dimensions you calculated in part (a) to find the area of the lawn

we know that

The area of a rectangle is equal to

A=LW

we have

L=85\ ft, W=40\ ft

substitute in the formula

A=85*40=3,400\ ft^(2)

Find the probability that the number is in set A’ giving your answer as a decimal

Answers

Answer:

0.7

Step-by-step explanation:

The probability that the number is in set A’ is the probability that a number is not in set A.

From the venn diagram attached below, they are two sets, set A and set B. Set A has 3 elements {15, 12 18}, Set B has 5 elements {12 18 10 14 16}.

The total number of elements in the universal set is 10 i.e {10 11 12 13 14 15 16 17 18 19}

therefore the number of elements in set A' is 7, i.e {10 11 13 14 16 17 19}.

the probability that the number is in set A’  = number of elements in set A'/number of elements in the universal set

probability that the number is in set A’ = 7 / 10 = 0.7

Answer:

0.7

Step-by-step explanation:

count them up and decide by how many there are then simplify

What 30.000 divided by 500?

Answers

30.000 is just 30


30/500
=
0.06

What is the best estimate length of a football

Answers

11 to 11.2 inches Is an estimate length of a football

Which shows the dimensions of two rectangular prisms that have volumes of72cm3
but different surface areas?

A.
6 cm by 3 cm by 4 cm;
12 cm by 2 cm by 3 cm

B.
2 cm by 4 cm by 9 cm;
9 cm by 4 cm by 2 cm

C.
3 cm by 3 cm by 8 cm;
2 cm by 6 cm by 8 cm

D.
6 cm by 3 cm by 4 cm;
9 cm by 4 cm by 3 cm

Answers

The dimension of the rectangular prism with different surface areas will be 2 cm by 4 cm by 9 cm. Then the correct option is B.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the rectangular prism is 72 cubic cm.

Then the factor of the number 72 will be

72 = 2 x 2 x 2 x 3 x 3

Then the dimension of the rectangular prism will be

L x W x H = V

L x W x H = 72

L x W x H = 2 x 2 x 2 x 3 x 3

L x W x H = 2 x 4 x 9

The dimension of the rectangular prism with different surface areas will be 2 cm by 4 cm by 9 cm. Then the correct option is B.

More about the volume of the rectangular prism link is given below.

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The answer is B 
volume of rectangular prism = (area* height )  
so 2 * 4 * 9 = 72 cm3 
   9* 4 * 2 = 72 cm3 
but they have differant surface area