Write an algebraic expression to represent the new x-coordinate after a translation of two yards east given any initial x-coordinate, x.

Answers

Answer 1

Answer: x' = x - 2yd.

Step-by-step explanation:

When we have a function:

y = g(x)

A translation to the east (in this case the positive x-axis) of N units.

is written as:

y = h(x) = g(x - N)

then if in the beginning our variable was x, afther the translation the variable will be x - N.

Now in this case we have a translation of 2yd to the right (to the east)

Then our new variable, let's call it x', will be:

x' = x - 2yd.

Answer 2

Answer:

A translation of two yards east involves moving 2 units in the positive x-direction. Given any initial x-coordinate, x, the algebraic expression that represents the new x-coordinate after the translation is x + 2.

Step-by-step explanation:

Edementum answer.


Related Questions

If y=3/5x+26 find the value of y when x=12

Answers

Answer:

46

Explanation

y = 3 /5x +26

y =?

X= 12

y=3 /5x + 26

y= 3 / 5 × 12 + 26

y = 3 / 60 + 26

y = 20 + 26

y = 46 ans

ANSWER FAST ...............​

Answers

Answer:

The answer is

Step-by-step explanation:

First term 8. I am a 100% sure.

Hope this helps....

Have a nice day!!!!

f(x) = 3•2^x
h(x) = 2x - 7
h(f(2)) =

Answers

Answer:

17

Step-by-step explanation:

f(x) = 3•2^x

h(x) = 2x-7

f(2) = 3•2^2

= 3•4

= 12

h(f(2)) = 2(12) - 7

= 24 - 7

= 17

Rectangle PQRS has vertices at P-2,5), Q44,5), R(4, -1), and S(-2,-1). What is the area, in square units, of rectangle PQRS? 21 b 35 36 40​

Answers

Answer:

36 square units.

C

Step-by-step explanation:

Please refer to the provided graph.

So we want to figure out the area of the rectangle. To do so, we simply need to figure out the base and height of the rectangle. We can then multiply them together to acquire the area.

From the graph, we can see that if we find the length of SR and SP, we can use the the base and height, respectively.

Now, we just have to find there lengths. Technically, we could just count. However, I'm going to use the distance formula.

the distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Find the length of SR:

Point S is (-2,-1) while Point R is (4,-1). Let (-2,-1) be x₁ and y₁ and (4,-1) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(4-(-2))^2+(-1-(-1))^2}\\d=\sqrt{(6^2)+(0)^2} \\d=\sqrt{36}=6[/tex]

So, SR is 6.

Now, find the length of SP:

Point S is (-2,-1) while Point P is (-2,5). Let Let (-2,-1) be x₁ and y₁ and (-2,5) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(-2-(-2))^2+(5-(-1))^2}\\d=\sqrt{0^2+6^2}\\ d=\sqrt{36}=6[/tex]

Therefore, SP is also 6.

Now, the area for a rectangle is:

[tex]A=bh[/tex]

Plug in 6 for the base and 6 for the height:

[tex]A=6(6)\\A=36\text{ units}^2[/tex]

Write the equation
y + 5 = 4(x + 2)
in slope intercept form
(y mx + b).

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b

Given

y + 5 = 4(x + 2) ← distribute the parenthesis

y + 5 = 4x + 8 ( subtract 5 from both sides )

y = 4x + 3 ← in slope- intercept form

please help on 19 and 20

Answers

Answer:

c and d

Step-by-step explanation:

Answer:

C AND D

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                     PEACE!

Melissa was charged $3 each time she
used the ATM at work. She used the
work ATM 24 times in a month. By how
much did her bank account change from
using the ATM at work?

Answers

Answer:

Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month

Step-by-step explanation:

Melissa was charged $3 each time she used the ATM at work

She used the work ATM 24 times in a month.

Charge per usage= $3

Number of times of usage= 24

By how much did her bank account change from using the ATM at work

Total charges = charge per usage × Number of times of usage

= 3 × 24

= 72

Total charges = $72

Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month

what is the gcf of of -9y^2 + 6y

Answers

Answer:

3y

Step-by-step explanation:

First find the factors of the terms.  You need to then figure out how many factors match.

-9y² = -1 · 3 · 3 · y · y

6y = 2 · 3 · y

3y is the greatest common factor.

2+2=????????????????????????????????????

Answers

It’s 4 if you have 2 cookies and your friend gives you 2 more that makes it 4

Answer:

The answer is 4

Step-by-step explanation:

1+1+1+1=4

Tickets for a concert cost $2 for children, $3 for students, and $4 for adults. Ticket sales totaled $522 and 177 people attended the concert. Twice as many students as adults attended. Find how many of each type of ticket were sold. Assume that everyone who bought a ticket attended the concert.

Answers

Answer:

Children = 51

Adults = 42

Students= 84

Step-by-step explanation:

Children = $2

Students = $3

Adults = $4

Total sales = $522

Total people who attended = 177

Adults =a

Students = s= 2a

Children = c

c+s+a = 177 (1)

2c+3s+4a=522 (2)

Substitute s=2a into the equations

c + 2a + a = 177

c + 3a = 177 (3)

2c + 3(2a) + 4a = 522

2c + 6a + 4a = 522

2c + 10a = 522 (4)

c + 3a = 177 (3)

2c + 10a = 522 (4)

Multiply (3) by 2

2c + 6a = 354 (3b)

2c + 10a = 522

Subtract (3b) from (4)

10a - 6a = 522 - 354

4a = 168

Divide both sides by 4

a= 168/4

= 42

a= 42

s= 2a

= 2(42)

= 84

s= 84

Substitute the value of s and a into (1)

c+s+a = 177 (1)

c + 84 + 42 = 177

c + 126 = 177

c = 177 - 126

= 51

c=51

Children = 51

Adults = 42

Students= 84

Find the volume for the following composite object.​

Answers

Answer:

[tex] Volume = 7440.16 ft^3 [/tex]

Step-by-step explanation:

Volume of the composite object = volume of cylinder - volume of rectangular prism

Volume of the composite object = πr²h - whl

where,

π = 3.14

r = 14 ft

h = 14 ft

w = 6 ft

l = 14 ft

[tex] Volume = (3.14*14^2*14) - (6*14*14) [/tex]

[tex] Volume = 8616.16 - 1176 [/tex]

[tex] Volume = 7440.16 ft^3 [/tex]

find a9 if the geometric sequence is: 567,-189,63

Answers

Answer:

3720087

Step-by-step explanation:

Given that,

A geometric sequence : 567,-189,63

First term is : 567

Common ratio : 567/-189 = -3

The nth term of a GP is given by :

[tex]a_n=ar^{n-1}[/tex]

n = 9

So,

[tex]a_9=567\times (-3)^{9-1}\\\\a_9=3720087[/tex]

So, the 9th term of the geometric sequence is 3720087.

does anyone know this?

Answers

Answer:

[-10, 3]

Step-by-step explanation:

Hello!

To find the range of a graph you look at the lowest point and the highest point

The highest point is 3

The lowest point is -10

The range is [-10, 3]

Hope this helps!

Answer:

-10, 3

Step-by-step explanation:

high: 3

low: -10

the order of the 2 coordinates goes left or right, then up or down

( plz mark me as brainliest, that would be most appreciated! )

On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0). What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)? 3x + 5y = −9 3x + 5y = 9 5x − 3y = −15 5x − 3y = 15

Answers

Answer:

5x -3y = 15

Step-by-step explanation:

First find the slope of the line through ( -3,2) and (2,-1)

m = (y2-y1)/(x2-x1)

   =( -1-2)/(2--3)

   = -3/(2+3)

    = -3/5

We want a line that is perpendicular so the slopes will multiply to -1

m * -3/5 = -1

Multiply each side by -5/3

m * -3/5 * -5/3 = -1 *-5/3

m = 5/3

The slope of the perpendicular line is 5/3

We have a slope and a point

Using point slope form

y-y1 = m(x-x1)

y-0 = 5/3( x-3)

y = 5/3( x-3)

Distribute

y = 5/3x -5

Multiply each side by 3

3*y = 3(5/3x -5)

3y = 5x - 15

Subtract 5x from each side

-5x+3y = -15

Multiply each side by -1

5x -3y = 15

Answer:

D. 5x − 3y = 15

May I have brainliest please? :)

|-12+3|= simply the expression

Answers

Answer:

|-12+3|=9

Step-by-step explanation:

Hello, -12+3=-9 and then we have to take the absolute value of -9, which is 9.

Thank you

Answer:

9

Step-by-step explanation:

|-12+3|

|-9|

9

you will use 2 operations when doing algebra. true or false

Answers

Answer:true

You will be using 2 operations

Which of the following numbers are perfect squares? Choose all that apply. A 27 D 108 B 36 E 121 C 81 F 169

Answers

b, c, and e
6x6=36
9x9=81
11x11=108

algebra isn’t my best subject, please help

Answers

The Distributive property states that when we have the statement a(b + c), we can "distribute" the a by multiplying a times both terms that are inside the parenthses.

So in this problem, 2(5 + 7) can be simplified by distributing the

2 through both terms that are inside the set of parenthses.

So we have (2 · 5) + (2 · 7).

Answer:

Distributive Property

Step-by-step explanation:

You are distributing the 2 to the 5 and 7. which goes from 2(5+7) to 10+14.  

Solve |2x - 5| = 4 I dont know what you solve for

Answers

Hello!

Answer:

[tex]\huge\boxed{x = 1/2, 9/2}[/tex]

|2x - 5| = 4

Solve for the negative and positive expressions:

2x - 5 = 4

2x = 9

x = 9/2

------------

-(2x - 5) = 4

-2x + 5 = 4

-2x = -1

x = 1/2.

Therefore, the solutions are x = 1/2 and 9/2.

What is the slope of a line between (-17,6)and (-18,11)

Answers

Answer:

m = -5

Step-by-step explanation:

m = (y₂ - y₁) / (x₂ - x₁)

m = (11 - 6) / (-18 - ( -17))

m = 5 / (-18 + 17)

m = 5 / -1

m = -5

C. How do the processes you used for
parts A and B differ? How are they the same?

Answers

Answer:

Original Medicare comes in two parts. Medicare Part A covers hospital services, skilled nursing facility care, hospice, and some home health care. Medicare Part B covers medical services, including doctor visits, preventive screenings, certain vaccinations, lab tests, and durable medical equipment.

Bottle A can hold 3L more juice than bottle B. Bottle D can hold 5L more juice than bottle A. Bottle C can hold 3L less juice than bottle A.

Answers

Answer:

This may be incomplete, i will try to answer this in a general way.

We have 4 bottles, A, B, C and D.

If A is the volume of Bottle A, B is the volume of bottle B, C is the volume of bottle C, and D is the volume of bottle D, we have that:

A = B + 3L.

D = A + 5L

C = A - 3L.

Let's solve this system the most we can (we can not fully solve the system because we have more variables than equations)

First, taking the third equation and adding 3L in both sides, we have:

C + 3L = A.

This is equivalent to the first equation, so we have that C = B.

now, we have two equations:

A = B  + 3L

D = A + 5L

We can replace the first equation into the second equation and get:

D = A + 5L = (B + 3L) + 5L = B + 8L

So bottle D can hold 8L more juice than bottle B (and because bottle B and bottle C have the same volume, bottle D can hold 8L more juice than bottle C)

Now, we can order the bottles depending on the volume:

Bottle D is the one with larger volume.

Bottle A comes next.

Bottles C and B are the smaller ones, and they are together because they have the same volume.

Simplify the following expression: 4(y + 3) − 6(y − 2) + 5

Answers

Answer:

-2y +29

Step-by-step explanation:

Answer:

-2y+29

Step-by-step explanation:

can anyone plz help?

Answers

Answer:

89.76 yd^2

Step-by-step explanation:

The area is given by

A = bh

A = 10.2 * 8.8

A =89.76 yd^2

(6+a) divided by 5 -2

Answers

Answer:

(6+a)/3

Step-by-step explanation:

(6+a)/5-3

5-3=2

(6+a)/2

How can I identify witch of those numbers don’t belong with the other there 50.1 -50 over two -50.1 square root of 50?

Answers

I'm assuming you were given these four values

50.1,  -50/2, -50.1, sqrt(50)

where 'sqrt' stands for 'square root', and the slash symbol means divide or fraction.

If my assumption is correct, then the term that does not belong is sqrt(50). This is because the other values are all rational. We can express them as a fraction of two whole numbers

50.1 = 501/10-50/2 is already a fraction, no need to do any work for this one-50.1 = -501/10

But we can't do the same with sqrt(50). It is irrational. Note how 50 is not a perfect square. Your calculator will show that sqrt(50) = 7.07106781186548 and that decimal sequence goes on forever without any pattern. If you were given sqrt(49), then it would work because sqrt(49) = 7 = 7/1.

Which of the following characteristics of experiments are also characteristics of surveys? Check all that apply.

A. Data are gathered during the course of the study.
B. The study involves one or more treatment groups and a control group.
C. The study compares two or more treatments (possibly including no treatment")
D. Replication with different groups of subjects can improve the reliability of the study.
E. Statistical analysis is applied to the results of the study.

Answers

Answer: The best answers are :

A Data are gathered during the course of the study E. Statistical analysis is applied to the results of the studyD. Replication with different groups of subjects can improve the reliability of the study.

Step-by-step explanation:

I hope it helps :)

Answer:

a and c

Step-by-step explanation:

Od=125
d) f = 120
11. Melissa is buying a sweater. The original cost of the sweater
is $18.00. The sweater is 15% off, and sales tax is 8%. How
much will the sweater cost?
a) $14.08
O b) $12.24
O c) $16.52
O d) $15.30

Answers

Answer:

Hey there!

The sweater is selling for 85% of the original price

0.85(18)=15.30

1.08(15.30)=16.52

Let me know if this helps :)

The solution is Option C.

The total cost of the sweater is $ 16.52

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the original cost of the sweater be = $ 18

Let the sales tax percentage be = 8 %

Let the discount of the sweater be = 15 %

So , the equation for the total cost of the sweater is

The cost of the sweater after discount of 15 % is = original cost of the sweater - discount of the sweater x original cost

The cost of the sweater after discount of 15 % is = 18 - ( 15/100 ) x 18

                                                                                = 18 - 0.15 x 18

                                                                                = 18 - 2.7

                                                                                = $ 15.3

Now , the cost of the sweater after sales tax of 8 % is = cost of the sweater after discount + sales tax percentage x cost of the sweater after discount

So , the equation is

The cost of the sweater after sales tax of 8 % is = 15.3 + ( 8/100 ) x 15.3

                                                                                = 15.3 + 0.08 x 15.3

                                                                                = 15.3 + 1.224

                                                                                = $ 16.524

Hence , the total cost of the sweater is $ 16.52

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Please help! ASAP!!! C:

Answers

Answer:

Equation: 5.88/3=p-0.75

The original price for apples was $1.21

Step-by-step explanation:

Equation explanation:

$5.88 divided by 3 pounds of apples = the original price per pound - the $0.75 increase in price

$5.88 for 3 pounds of apples

we divide 5.88 by 3 to see how much money it was per pound

5.88/3=1.96

subtract 1.96 from the price increase of .75

1.96-.75=1.21

A church spire casts a shadow on the level ground. At the tip of the shadow, the tip of the spire lies 25° upward. Walking 100 m closer, the tip of the spire is at an angle of 55°. What must be the height of the spire in Figure 2?

Answers

Answer:

The height of the spire must be 69.24 m

Step-by-step explanation:

The information given are;

The initial angle of elevation of the tip of the spire from the tip of the shadow = 25°

The  angle of elevation of the tip of the spire from the tip of the shadow after moving 100 m closer = 55°

The change distance moved closer to the church spire = 100 m

Let the base angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow be 25° and ∠x°

We have;

∠x° and the 55° angle of the ray from the tip of the spire to the tip of the shadow are supplementary angles (angle on a straight line)

Therefore;

∠x° = 180° - 55° = 125°

The calculated angle 125° above, the given 25° and the angle in between the two rays from the tip of the spire to the tip of the shadows are the interior angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow

Let the angle in between the two rays from the tip of the spire to the tip of the shadows = y

Therefore;

125° + y° + 25° = 180 (Angle sum theorem)

y° = 180° - (125° + 25°) = 30°

By sin rule, we have;

100/(sin (30°)) = (The length of the initial ray from the tip of the spire to the tip of the shadow before the shift)/(sin(125°))

Let the length of the initial ray from the tip of the spire to the tip of the shadow before the shift = l

100/(sin (30°)) = l/(sin(125°))

l = (sin(125°))×100/(sin (30°)) = 163.83 m

The height of the spire, by trigonometric ratio = sin(25°) × 163.83 m = 69.24 m

The height of the spire = 69.24 m.

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