does someone mind helping me with this? Thank you!

Between the locations S(4,-3) and T(-2,2), there are 7.81 units between them.

The length of the line segment connecting two locations serves as a measure of the distance between them. Most importantly, the distance between two points is always positive and segments with the same length are known as congruent segments.

P(x1, y1) and Q(x2, y2) are two points, and the formula for their distance is provided by: d (P, Q) = (x2 - x1)2 + (y2 - y1) 2.

The points S(4,-3) and T are given.

Therefore, the distance (d) between S(4,-3) and T(-2,2) is as follows:

⇒ d (S, T) = √

² + (2 - (-3)) ².

⇒ d (S, T) = √ (-6)² + (5) ².

⇒ d (S, T) = √ 36+25

⇒ d (S, T) = √61

D (S, T) equals 7.81 units

To Learn more about the distance Visit : https://brainly.com/question/13532186

#SPJ9

The translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.

We are given a function:

2 | x | - 9.

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

We are asked to translate the function 6 units up.

This means that we have to add 6 units to the function.

A function has been “translated” when it has been moved in a way that does not change its shape or rotate it in any way.

So, we get that:

f(x) = 2 | x | - 9 + 6

f(x) = 2 | x | - 3

Therefore, the translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.

Learn more about function here:

https://brainly.com/question/4025726

#SPJ9

Answer:

we need to add [tex]a^{2}[/tex] to make it a perfect square.

Step-by-step explanation:

since we know

[tex]a^{2}+b^{2}-2ab=(a-b)^{2}[/tex]

then after compairing it with x² - 2xa

we have;

missing term as   [tex]a^{2}[/tex]

hence we need to add [tex]a^{2}[/tex] to make it a perfect square.

learn more about algebra here

https://brainly.com/question/28515047

#SPJ9

Answer:

Alright, 53 + 28 = 81

Answer:

81

Step-by-step explanation:

Answer:

WXZ, ZXW, 1

Step-by-step explanation:

Answer:

[tex] \frac{3x}{2} [/tex]

Answer:

1/3

Step-by-step explanation:

The cost of Robert purchase of books after the paid tax is $32.66.

For the given question;

The original cost of the book purchased by the Robet = $30.45.

The tax of 7.25% is applied on the original cost of the book.

7.25% of $30.45 = (7.25×30.45)/100

7.25% of $30.45 = $2.21

The final cost of the book = original cost + tax

The final cost of the book = $30.45 + %2.21

The final cost of the book = 32.66

Therefore, the total price paid by the Robert for the book after 7.5% of the tax is applied is $36.66.

To know more about the percentage increase, here

https://brainly.com/question/1053881

#SPJ9

The complete question is-

Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?

Answer:

y=1/4 -2

Step-by-step explanation:

y =mx + c

m= slope

c= y-intercept

putting the valves of x and y ( 0,-2)

-2 = 1/4(0) + c

solve for C

C = -2

substituting back to the general equation of

y= 1/4x + C

y = 1/4x - 2( ans).

Answer: 9.25

Step-by-step explanation: Round each number to the nearest place. For example, 26 would round to 30. Round each number until you get a certain number right before the hundredth place.

The formula in terms of h is h = 3V/s^2 and the value of h is 5

The equation is given as

V = 1/3s^2h

Divide both sides of the equation by 1/3s^2

So, we have

h = 3V/s^2

The given parameters are

V = 60 and s = 6

So, we have:

h = 3 * 60/6^2

Evaluate

h = 5

Hence, the formula in terms of h is h = 3V/s^2 and the value of h is 5

Read more about formulas at:

https://brainly.com/question/10643782

#SPJ1

Answer:

45 $

Step-by-step explanation:

20 x 2 = 40

40 + 5 = 45

The rate of change in the submarine's elevation in feet per second is 5.2

According to the question ,

  She starts 174 feet below sea level

after 15 minutes she reaches 252 feet below sea level

distance travel in 15 minutes  = [tex]\frac{252 - 174}{15}[/tex]

                                                  = [tex]\frac{78}{15}[/tex]

                                                  = [tex]\frac{26}{5}[/tex]

                             Round off [tex]\frac{26}{5}[/tex]  =   5.2

There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.

Here some Rounding Examples :

Consider the number 8.9163

8.9163 rounded to the nearest tenth is 8.9

Because 9 is followed by 1 and 1 is less than 5.

8.9163 rounded to the nearest hundredth is 8.92

Because 1 is followed by 6 and 6 is greater than 5.

8.9163 rounded to the nearest thousandth is 8.916

Because 6 is followed by 3 and 3 is less than 5.

Learn more about rounding off number here :brainly.in/question/22468985

SPJ9

Answer:students are the independent because he will get a number of cards depending on how many students there are so its

s independent and c dependent

Step-by-step explanation:

Answer:

s = independent

c = dependent

The number of cards depends on the number of students in his class.

Hope this helps :)

answer:

10:03 am

explanation:

9:00 am + 1 hour (60 min) + 3 min = 10:03 am.

Answer:

119 r 9

Step-by-step explanation:

Check the picture below.

Answer:

y=8,x=-3

Step-by-step explanation:

1/3×+1/4y=1

lcm=12

multiply through by lcm to get equation 1

4x+3y=12

equation 2

2×-3y=-30

equation 2 by 2

using the substitution method

y=8

x=-3

Answer:

False

Step-by-step explanation:

Consider a=3 and b=4. The left hand side is 5 but the right hand side is 7.

The marginal benefit from studying one extra hour is 5 percent.

Now,

Given:

To find: Marginal benefit on studying one hour extra.

Finding:

Now, marks scored on studying 4 hours is 80 percent and 5 hours is 85 percent.

Thus, the extra percentage that is scored is because of the 1 hour of extra studying.

The extra percentage = marginal benefit of studying extra = 85 - 80 = 5 percent.

Hence, the marginal benefit from studying one extra hour is 5 percent.

To learn more about marginal benefits, refer to the link: https://brainly.com/question/8136407

#SPJ4

Answer:

it is positive

Step-by-step explanation:

-289+311=22 which is a positive number

Answer:

82,337

Step-by-step explanation:

   76,749

      5565

+         23
   82,337

Hope it helps!!!

;}

1.7 miles, just do the total amount of what can be considered distance, then minus what she walked, resulting in the answer to be the amount of time ran.

The equation for DE is [tex]8+9x[/tex]

According to the question statement, Line RQ bisects line DE at S. If DS = 10 + 3x and ES = -2 + 6x. We are supposed to find DE.

For solving this we need to know about Linear Equations and Bisector of a line.

Given that, DS = 10 + 3x and ES = -2 + 6x.

S is mid point of line DE as RQ bisects it.

So DS = SE

And DE = DS + SE

Hence, DE = [tex]10 + 3x + (-2 + 6x)[/tex]

DE = [tex]10 + 3x -2 + 6x[/tex]

DE = [tex]10 -2 +3x+6x[/tex]

DE = [tex]8+9x[/tex]

Hence equation of DE is 8+9x.

To learn more about linear equations, click the link given below

brainly.com/question/11897796

#SPJ9

Step-by-step explanation:

y=4x+rx+6

y-6=4x+rxy−6=4x+rx Subtract \ 6 \ from \ both \ sidesSubtract 6 from both sides

y-6=x(4+r)y−6=x(4+r) Factor \ out \ the \ common \ term \ xFactor out the common term x

\dfrac{y-6}{4+r} =x

4+r

y−6

=x Divide \ both \ sides \ by \ 4+rDivide both sides by 4+r