Question 1 of 10
What is the midpoint of the segment shown below?

(-11, 0)
(9,-1)

A. (-1,-1/2)
B. (-2,- )
C. (-1,-1)
D. (-2, -1)

Answer:

-1.25, -1.5, 0.5, 0.66

hope it helps you

[tex]a = {5}^{x} \\ b = {5}^{y} \\ {a}^{y} \times {b}^{y} = 25 \\ prove \: ( {5}^{x} )^{y} \times ( {5}^{y} ) ^{x} = 25 \\ {5}^{xy} \times {5}^{yx} = {5}^{2} \\ {5 }^{xy + yx} = 5^{2} \\ 5^{2xy} = {5}^{2} \\ is \: \: 2xy = 2 \\ xy = \frac{2}{2} \\ xy = 1[/tex]

The prove that  xy is equal to 1 is given below.​

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]log_a(c) b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]

Log with base e = 2.71828... is written as

ln(x)\ln(x)

simply.

Log with base 10 is written as

[tex]\log(x)[/tex]

We are given that;

a = 5^x, b = 5^y and a^y×b^x = 25.

Now,

To prove that xy = 1, we can use the properties of exponents and logarithms. Here are the steps:

1. Given that a = 5^x and b = 5^y, we can substitute these expressions into the equation a^y×b^x = 25 and get:

(5^x)^y × (5^y)^x = 25

2. Using the property that (a^b)^c = a^(bc), we can simplify the left-hand side of the equation and get:

5^(xy + yx) = 25

3. Using the property that a^b = c is equivalent to log_a(c) = b, we can take the logarithm of both sides of the equation with base 5 and get:

log_5(5^(xy + yx)) = log_5(25)

4. Using the property that log_a(a^b) = b, we can simplify the left-hand side of the equation and get:

xy + yx = log_5(25)

5. Using the property that log_a(b) = log_c(b) / log_c(a), we can change the base of the logarithm on the right-hand side of the equation to any other base, such as 10, and get:

xy + yx = log_10(25) / log_10(5)

6. Using a calculator or a table of logarithms, we can evaluate the right-hand side of the equation and get:

xy + yx ≈ 2 / 0.69897

7. Simplifying the fraction on the right-hand side of the equation, we get:

xy + yx ≈ 2.8614

8. Since xy and yx are symmetric, we can divide both sides of the equation by 2 and get:

(xy + yx) / 2 ≈ 2.8614 / 2

9. Simplifying both sides of the equation, we get:

xy ≈ 1.4307

10. Since x and y are integers, we can conclude that xy must be an integer as well. The only integer that is close to 1.4307 is 1.

Therefore, by logarithm properties we can say that xy = 1.

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ2

Answer:

60-45= 15

15/45= 0.33

0.33 X 100 = 33%

Answer:

88°

Step-by-step explanation:

Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.

Answer:

88

Step-by-step explanation:

Answer:

C=12π

Step-by-step explanation:

C=2πr

Radius is half of Diameter.

C= 2π(6)

C=12π

Answer: It’s C. 4 square units

Step-by-step explanation:

Answer:

Graph ii and iii

Step-by-step explanation:

In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.

Answer:

8.1 for the 2th awnser

Step-by-step explanation:

1.4 + 5.9+2.2=8.1

Answer:

z (3.4 + 4.6 + 2.2)

:)

Answer:

y=-1 1/3+18

Step-by-step explanation:

isolate the y and divide both by 9

Answer:

facts

Step-by-step explanation:

Answer:

[tex]y= 9/4x+5[/tex]

Step-by-step explanation:

I'll go over #7 and you should be able to do the rest.

Slope intercept form general equation is:

y = mx + b

I bolded the value you need to change/find.

m is the slope

b is the y-intercept

You can calculate m using:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

you're given (-4,-4) and (0,5) so y₂=5, y₁=-4, x₂=0, x₁=-4

[tex]m=\frac{5-(-4)}{0-(-4)}=9/4[/tex]

Plug your value into the point-slope formula.

[tex]y = m(x-x_1)+y_1[/tex]

[tex]y = (9/4)(x-(-4))+(-4)[/tex]   simplify it

[tex]y= 9/4x+5[/tex]  the simplified form is the slope-intercept formula

Answer:

+

Step-by-step explanation:

b/c

18+2×4

18+8

26

hope it's helpful ❤❤❤

THANK YOU.

Sure! I'll try!

2x + 29 +11 = x + 28

First, you would put like terms ( the x ) on the same side.

2x + 29 + 11 = x + 28

-2x                 -2x

Giving you: 29 + 11 = -3x + 28

Then, you would add 29 and 11 together to get 40.

Next, you'd put the 28 on the other side.

40 = -3x + 28

-28           - 28

Giving you: 12 = -3x

Answer:

I am pretty sure it is 400ml hope this helps

Answer:

2(x+15)

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

add 4 values, excluding 72 (lowest grade)

total = 339

average = 330/4 = 84.75

84.75 rounding to nearest integer is 85

Answer:

69.08 m

Step-by-step explanation:

C = 2(pi) x r

Radius (r) = 11

Pi = 3.14

C = 2(3.14) x 11 = 69.08

Answer:

35+14=7(5+2) , so you have the alternative way of computing the sum.

49=7(7)

Answer:

35+14=7(5+2)

Step-by-step explanation:

Answer:  30

Step-by-step explanation:

Answer: It would take Kala 11 hours to drive 693 miles

Step-by-step explanation:

315/5=63 miles an hour

693/63=11 hours

It would take Kala 11 hours to drive 693 miles

Answer: C. The solution set is x is less than -18, the circle is open; and the graph (line) moves to the left.

Step-by-step explanation:

1. x < (-4) -14 (subtract 4 from each side, then add)

2. x < -18

Answer:

the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 46 bottles are randomly selected, find the probability that the mean content is

- Less than 102.1 mL. (Draw the bell curve)

Between 99 mL and 102.1 mL

5.) Determine the minimum sample size required when you want to be 99% confident that the sample mean is within two units of the population mean and standard deviation . assume the population is normally distributed

Answer:

11/36

Step-by-step explanation:

We have 36 possible outcomes when rolling a pair of dice.

Only 1 outcome gets both 3's. (3 3)

For the sum to be greater than 8, there are 10 outcomes.

(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)

The probability is therefore (1+10)/36=11/36.

Answer: It is C

Step-by-step explanation:

Good luck on your test or homework

Answer: 3 dollars for a book.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

it is not clear .... please add the question and send the link of the question

Answer:

$712.79

Step-by-step explanation:

Answer:

When the negatively charged balloon approaches a wall, the negative charges in the wall are repelled (or pushed away)

Step-by-step explanation:

As the two come in contact, the balloon will stick because of the rule that opposites attract (positive to negative)

Answer:

I think it is ether-1 or o,5

Answer:

Did you got the answers for this whole I need them please

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]

[tex]y + 8 = 4(x - 5)[/tex]

[tex]y - ( - 8) = 4(x - ( + 5))[/tex]

[tex] \large \boxed{( - 8,5)}[/tex]