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3 years ago

Find the coordinates of the midpoint of CD if C(-2, 6) and (7, -1)

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

8 0

Answer:

(2.5, 2.5)

Step-by-step explanation:

Coordinates of midpoint

$= \bigg( \frac{ - 2 + 7}{2}, \: \: \frac{6 - 1}{2} \bigg) \\ \\ = \bigg( \frac{5}{2}, \: \: \frac{5}{2} \bigg) \\ \\ = ( 2.5, \: \: 2.5 )$

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How many solutions does 2x+2-3x=3x-4

DerKrebs [107]

Answer:

1 solution (x = 1.5)

Step-by-step explanation:

2x + 2 - 3x = 3x - 4

First, combine like terms

2 - x = 3x - 4

Add 4 to both sides

6 - x = 3x

Add x to both sides

6 = 4x

Divide both sides by 4

1.5 = x

4 0

3 years ago

Read 2 more answers

Kyra has a rock collection. When she puts her rocks into 2 equal plies, there are no rocks left over. When she puts her rocks in

Nat2105 [25]

Step-by-step explanation:

According to this description we need a number that can be divided by 2,3 and 4 since the amount of rocks can be described by a natural number. However if a number is divided by 4 it is divided by 2 as well since 2*2=4.

$\frac{x}{4} = \alpha \\ \frac{x}{2} = 2 \alpha$

If α is a natural number then 2*α is a natural number as well as the product of two natural numbers.

Which means that we need a number devided by 3 and 4.

The smallest number that fulfills this demand is 3*4=12.

Also any product of 12 with any natural number can be devided by 3, 4 and 2.

If the exercise asks for the numbers that are divided only by 2,3 and 4 these are:

${3}^{ \alpha } \times 12 \: and \: {4}^{ \alpha } \times 12 \: \\ where \: \alpha \: belongs \: to \: the \: set \: of \: all \: \\ natural \: numbers$

8 0

3 years ago

9w=8w-5<br> <img src="https://tex.z-dn.net/?f=9w%3D8w-5" id="TexFormula1" title="9w=8w-5" alt="9w=8w-5" align="absmiddle" class=

Vinvika [58]

Answer:

9w=8w-5

collect like terms

9w-8w=-5

w=-5

8 0

3 years ago

ms hernandez has 17 tomato plants that she wants to plant in rows. she will put 2 plants in some rows and 1 plant in the others.

dexar [7]

If we go for the ratio of (2 in row : 1 in row) 8:1 7:3 6:5 5:7 4:9 3:11 2:13 1:15 0:17 Therefore there are 9 possibilities

7 0

3 years ago

A boy has 3 red , 6 yellow and 5 green marbles. In how many ways can the boy arrange the marbles in a line if:All marbles have d

Alenkasestr [34]

Answer: 8.72*10^10

Step-by-step explanation:

Total number of balls = 14

Now,

Make 14 lines.

_ _ _ _ _ _ _ _ _ _ _ _ _ _

In the first position, you can choose any ball from 14 balls. So,

14 _ _ _ _ _ _ _ _ _ _ _ _ _

In the second position, you can choose any ball from 13 balls. This is because you've already kept one ball in first position. So,

14 13 _ _ _ _ _ _ _ _ _ _ _ _

In the third position, you can choose any ball from 12 balls. So,

14 13 12 _ _ _ _ _ _ _ _ _ _ _

Do this until you fill all the place.

14 13 12 11 10 9 8 7 6 5 4 3 2 1

Multiply all of this.

14 *13 *12 *11 *10 *9 *8 *7 *6 *5 *4 *3 *2 *1

= 8.72*10^10

5 0

3 years ago