rewrite the expression using rational exponents

Distance = 13 units

Point A: (8, -7)

Point B: (-4, -2)

[tex]\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }[/tex]

[tex]\sqrt{(12)^{2} + (-5)^{2} }[/tex]

[tex]\sqrt{144 + 25 }[/tex]

[tex]\sqrt{169}[/tex]

[tex]13[/tex]

Answer:

[tex]\boxed {d = 13}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two following points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the two following onto the formula:

[tex](x_{1}, y_{1}) = (8, -7)[/tex]

[tex](x_{2}, y_{2}) = (-4, -2)[/tex]

[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]

-Solve for the distance:

[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]

[tex]d = \sqrt{(-12)^{2} + 5^{2}}[/tex]

[tex]d = \sqrt{144 + 25}[/tex]

[tex]d = \sqrt{169}[/tex]

[tex]\boxed {d = 13}[/tex]

Therefore, the distance is [tex]13[/tex].

Answer:

in scientific notation it is − 32x+4.00054

Step-by-step explanation:

thats all i know

4/9 is the answer

hope this helps

Answer:

Step-by-step explanation:

Given the frequency vibrations for a certain guitar string modeled by the equation

F = 200√T where:

T is amount of tantrums in pounds

If the frequency of the vibrations is 600 vibrations per second, the amount of pounds in tantrums will be gotten by substituting F = 600 into the equation and calculating T as shown:

600 = 200√T

Divide both sides by 200

600/200 = 200√T /200

3 = √T

Square both sides

3² = (√T)²

9 = T

T = 9

Hence 9 pounds of tantrum was used to plug the string

Answer:

#5. 17, #6. 22, #7. 14, and #8. 13

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

3:4 to  12:?

3*4=12

so 4*4=16

12:16

Answer:

4-5i

Step-by-step explanation:

Answer:

4-5i

Step-by-step explanation:

(5-2i)-(1+3i)

5-2i-1-3i

5-1-2i-3i

4-5i

Answer: #1. yes it's a function #6. the graph is increasing at (-oo , 2) , #7.  the graph is decreasing at (2,oo) ,

Step-by-step explanation:

hope it helps

6. It is increasing from (-infinity, 4) or ]  i am not sure

7. It is decreasing from ( or [4, infinity)

If the arrow kept on going the f(-12) = x for example, f(4)=2

Important things to know f(x)=y and (x,y)

I am sorry that I can not help with the others!!!

The answer is b.) -2

Answer:

slope would be -2

Step-by-step explanation:

slope formula

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]

We know: (1, 9) and (4, 3)

plug in the numbers

[tex] \frac{9 - 3}{1 - 4} [/tex]

subtract

[tex] \frac{6}{ - 3} [/tex]

divide

[tex] - 2[/tex]

Tadaaaa

Answer:

the two numbers are 31 and 32.

Step-by-step explanation:

x+(x+1)=63

2x+1=63

2x=62

x=31

The answers are 31 and 32

The sum of two consecutive numbers is 63. Consecutive numbers are numbers that are in a row (e.g. 1, 2, and 3 are consecutive integers). This means we can represent the two consecutive numbers with x and x+1. Plugging the numbers back into the equation, you get

x + x+1 = 63

Simpifying, you get

2x+1 = 63

Now, you just need to isolate x. To do this, you should subtract 1 from both sides, making the equation.

2x=62

Lastly, you need to divide both sides by 2, making making the equation

x=31

The two integers are x and x+1, and when you plug 31 into that, the numbers are 31 and 32.

Answer:

Because it is 2 of the same number.

Step-by-step explanation:

Answer:

I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.

Step-by-step explanation:

I hope this helps. Have a good day! :)

Answer:

B

Step-by-step explanation:

Answer:

-I

Step-by-step explanation:

Answer:

I always do keep change flip when dividing fractions. First change the mixed number into an improper fraction. So keep the first fraction the same, change the operation, and flip the second fraction. The equation should be 5/2 x 2/5. This gets you 10/10. And that simplified is 1.

Step-by-step explanation:

Answer: If you have three quarters, four dimes, and four pennies, you have $1.19, the largest amount of money in coins you could have without being able to make change for a dollar

Answer:

12

Step-by-step explanation:

Hi there !

144 | 2

72 | 2

36 | 2

18 | 2

9 | 3

3 | 3

1

144 = 2⁴ × 3²

√144 = √2⁴×3² = 2²×3 = 4×3 = 12

Good luck !                                                

Answer:

It would take him 8 hours

Since every 50 miles takes 1 hour

━━━━━━━☆☆━━━━━━━

▹ Answer

8 Hours

▹ Step-by-Step Explanation

First, find the unit rate:

100 miles ÷ 2 hours = 50 mph

Now, we need to find the time it takes to drive 400 miles so we will divide:

400 miles ÷ 50 mph = 8 hours

If you are looking for total hours, you would add:

2 hours + 8 hours = 10 hours

If you are looking for how long it'll take to drive the 400 miles, it would just remain 8.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

i think its 64.66

Step-by-step explanation:

07x53=3.71

0.15x53=7.95+53=60.95+3.71=64.66

Answer:

$64.66

Step-by-step explanation:

find the amount of tax 53 x .07 = 3.71

find the amount of the tip 53 x .15 = 7.95

53 + 3.71 + 7.95 = 64.66

Answer:

its C

Step-by-step explanation:

i got this right on my quiz

Answer: it's wrong because subtraction comes before addition

Step-by-step explanation:

in the order of operations, there is PEMDAS

parentheses  

exponents

multiplication

addition

subtraction

from multiplication to subtraction it does not matter which one you do first as long as you solve left to right so...

57-36+48

moving left to right you would do 57-36 first

Answer:

um

Step-by-step explanation:

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Option B is the correct answer.

We have,

From the graph,

As the x-value increases, the function y-values goes to -∞.

As the x-value decreases, the function y-values goes to -∞.

Now,

f(x) is the y-value.

The end behavior of the graph f(x) using limits can be represented as,

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Thus,

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

Answer:

i need this answer too:(((

Step-by-step explanation:

Answer:

0,2,2,4

Step-by-step explanation:

Answer:

You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.

Step-by-step explanation:

You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.

Answer:C: 2/3 B

Step-by-step explanation:

The answers will be ;

a) The required equation will be c =  [tex]\frac{2}{3}[/tex] b

b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.

It is given that the double number line shows the amount of clay Jamal uses to make different numbers of identical bowls.

We have to solve the subparts of the question to get the values.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The clay needed per bowl = [tex]\frac{2}{3}[/tex] pounds

a)

The equation for clay (c) to make b number of bowls will be ;

c =  [tex]\frac{2}{3}[/tex] × b

or

c =  [tex]\frac{2}{3}[/tex] b

b)

If there are 8 number of bowls

i.e., b = 8

Then ; amount of clay Jamal needs will be ;

c =  [tex]\frac{2}{3}[/tex] × 8

c = [tex]\frac{16}{3}[/tex] pounds

or

c = [tex]5\frac{1}{3}[/tex] pounds

Thus , the answers will be ;

a) The required equation will be c =  [tex]\frac{2}{3}[/tex] b

b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ2

Answer:

5 seconds to walk 25 feet

Step-by-step explanation:

60/10=6

25/5=5

Answer:

sample answer:   If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4

Step-by-step explanation:

The situation is a representation of the linear function.

Given that,

One dollar is divided into four quarters.

The total number of dollars is a function of the number of quarters.

Based on the information presented above, we can conclude that when the dollar represents y value and the quarter represents x value

As a result, the slope should be 1/4.

y = 1/4x should be the linear function.

Hence, As a result, we can conclude that the situation is a linear function.

To learn more about linear function, refer to:

https://brainly.com/question/15602982

#SPJ2

Answer:1,2,3

Step-by-step explanation:

Answer:

1. Jorge’s weight change was approximately 5%.

2.Marie’s weight change was approximately 14%.

3.Marie had the greater percent change.

Step-by-step explanation:

edge 2021

Answer: y=-1/2x-4

Step-by-step explanation:

If you use point slope formula you get

y+2=-1/2(x+4)

simplify that in y=mx+b and you get

y=-1/2x-4