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Natalija [7]
3 years ago
11

Given points A(3,7) and B(8, -3) are the end points of AB, calculate the coordinates of M, the midpoint.​

Mathematics
1 answer:
tester [92]3 years ago
7 0

Answer:

(5.5,2)

Step-by-step explanation:

see the pic for the steps

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Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-
AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\

So, this integral is convergent.

b)

\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\

So, this integral is divergent.

c)

\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\

So, this integral is divergent.

4 0
3 years ago
8x^3-8x=1<br> Solve for x
Anit [1.1K]

Step-by-step explanation:

Step-by-step explanation:

\begin{gathered} \frac{8x - 3}{3x} = 2 \\ 8x - 3 = 6x \\ 8x - 6x = 3 \\ 2x = 3 \\ x = \frac{3}{2} \end{gathered}

3x

8x−3

=2

8x−3=6x

8x−6x=3

2x=3

x=

2

3

4 0
2 years ago
Bre makes $5 per week. Bre is saving up for $100. How many weeks would it take for Bre to make the $100?
LekaFEV [45]

Answer:

The answer would be 20 weeks

Step-by-step explanation:

Because, if she makes $5 per week you would just divide 100 by 5 and get 20 and to check you would multiply your answer to see if it equals the amount he/she would want to amount to. Hope this helps! Happy learning!

5 0
3 years ago
Multiply each polynomial <br><br> (x + 5)(x+4)<br><br> teach me step by step
lara [203]

Answer: x^2 + 9x + 20

Step-by-step explanation:

Foil Method: (a + b) (c + d) = ac + ad + bc + bd

Lets say:

a = x

b = 5

c = x

d = 4

Plugging in the numbers: xx + 4x + 5x + 5*4

Combine like terms:

xx = x^2

4x + 5x = 9x

5 * 4 = 20

You're then left with: x^2 + 9x + 20

6 0
3 years ago
Which of the following equations vould u solve by first adding six. and divided by -3
Reil [10]
Which equations? I think you forgot to post a picture.
6 0
3 years ago
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