use the midpoint formula to find the midpoint of the given segment on the coordinate plane
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[tex]\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i[/tex]

Step-by-step explanation:

The standard form of linear equation:

Convert each equation into standard form:

Answer:

27-9= 18

Step-by-step explanation:

Erin's total shells is 27, her total is 9 more shells than Jamie has. Thus you subtract 9 from 27 to get the number of shells Jamie collected.

Answer:

19. 7, 20. 4, 21. 1

Step-by-step explanation:

19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7

20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2

21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.

Answer:

x = (-b ± √b² - 4ac)/2a

Step-by-step explanation:

Answer:

0.13 cm per second

Step-by-step explanation:

Lets convert the minutes to seconds:

3/4 minutes = 3/4(60) = 45 seconds

The snail traveled 5.85 cm in 45 seconds

To find out the speed per second, we set up a proportion:

[tex]\frac{5.85}{45} = \frac{x}{1}[/tex]      where 45 and 1 represent the number of seconds, and 5.85 and x represent the distance in that set of time

Let's solve for x, or the distance in 1 second:

[tex]\frac{5.85}{45}=\frac{x}{1}\\\\\\\frac{5.85*1}{45x}\\\\\\x = \frac{5.85}{45}\\\\\\\\\\x = 0.13[/tex]

The snail travels 0.13 cm per second.

-Chetan K

Answer:

81 ounces

Step-by-step explanation:

Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.

54 ounces ÷ 18 = 3 ounces , then

27 plums = 27 × 3 = 81 ounces

Answer:

Obtuse Angles are

1, 3, 5, 7, 9, 11

Acute angles are

2, 4, 6, 8, 10, 12

Step-by-step explanation:

slope-intercept form:

y=25

piont-slope form:

y-25 =0×(x-74)

The formula is:

y-y1=m9(x-x1)

[tex]\text{Given that, for angle A}\\\\\text{Adjacent side, AB = 7}\\\\\text{Hypotenuse, AC = 25}[/tex]

[tex]\cos A = \dfrac{AB}{AC} = \dfrac{ 7}{25}[/tex]

Answer:

x+5/x+6

Step-by-step explanation:

Answer:

t = 12.5

Step-by-step explanation:

Assuming you typed the equation correctly:

-2(t-4) = 10 - 27

-2(t-4) = -17

t-4 = 8.5

t = 12.5

So, there's only one solution

Answer:

20 buses

Step-by-step explanation:

Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.

To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.

5 * 4 = 20

Hope this helps! :D

Answer:

His total cost is $564.68

Step-by-step explanation:

333.75 + 134.87 + 67.89 = 536.51

536.51 x 0.0525 = 28.17

536.51 + 28.17 = 564.68

Answer:

y=15

Step-by-step explanation:

Explanation:

There are 4 jacks (one of each suit) and 13 clubs. This gives 4+13 = 17 cards that are either jack or club. However, we double-counted the jack of clubs which means there are really 17-1 = 16 cards that are one or the other or both.

This is out of the 52 total mentioned. So we end up with the probability:

16/52 = (4*4)/(4*13) = 4/13

Answer:

-1.3, 8.3

Step-by-step explanation:

Based on the graph below, the solutions are -1.3 and 8.3.

Answer:

#9. y = -250x

#10. y = -2500, x = 100

Step-by-step explanation:

y = mx +b

y: y-value

m: slope

x: x-value

b: y-intercept

since your answer for #8 is -250, the slope would be -250 or m would be -250

y = -250x+b

now to solve for b, we take one of the points and plug it in, any works, but we'll use (1,-250)

plug in the points

-250 = -250(1)+b

solve for b

b = 0

thus the equation is y = -250x + 0 or y = -250x

#10 plug in x values and y values into equation to get answer

x = 10 -> y = -250(10) = -2500

y = -25,000 -> -25,000 = -250x

x = -25,000/-250

x = 100

Answer:

Step-by-step explanation:

go to the store

Answer:

If you want a angle the angle is positive and the answer is M=2

Step-by-step explanation:

The answer is M=2

Answer:

80% is what he got on the test

Answer:

f(x+2)=3x+5

Step-by-step explanation: hope this helps, love. have a good day

888.125 is the answer just use your calculator

Answer:

Step-by-step explanation:

888.13

Answer:

To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3. Step 1 is to work out the total number of parts in the ratio. 1 + 3 = 4, so the ratio 1:3 contains 4 parts in total.

Step-by-step explanation:

Step-by-step explanation:

hope it will help you a lot.......

Answer:

  B) √a

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  √a = a^(1/2)

  (a^b)/(a^c) = a^(b-c)

__

A) (a^(1/8))(a^(1/8)) = a^(1/8+1/8) = a^(1/4)

B) √a = a^(1/2) . . . . . . . . . . . . . not equal to a^(1/4)

C) a^(3/4)/a^(1/2) = a^(3/4-1/2) = a^(1/4)

D) (a^(1/8))^2 = a^(1/8+1/8) = a^(1/4) . . . . . same as (A)

A counterargument simply means the acknowledgement of the standpoints that go against one's argument and then re-affirming the argument.

A persuasive speech means a form if speech where the goal of the speaker is to convince the audience to accept hai or her point of view.

A counterargument shows that a individual is capable of understanding the multiple sides that are in an argument. A rebuttal simply means a form of evidence that's presented in order to nullify the other evidences that are provided by another party.

Learn more about counterargument on:

https://brainly.com/question/1198856