(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?

Given:

The endpoints of line segment CD are C(-2,0) and D(4,9).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of CD is

[tex]Midpoint=\left(\dfrac{-2+4}{2},\dfrac{0+9}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{2}{2},\dfrac{9}{2}\right)[/tex]

[tex]Midpoint=\left(1,4.5\right)[/tex]

Therefore, the midpoint of the line segment CD is (1,4.5).

9514 1404 393

Answer:

  A)  x^-28*7^-56

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

  1/a^b = a^-b

__

  [tex]\left(\dfrac{x^4}{7^{-8}}\right)^{-7}=(x^47^8)^{-7}=x^{4(-7)}7^{8(-7)}=\boxed{x^{-28}7^{-56}}[/tex]

Answer:

-32

Step-by-step explanation:

Do the opposite of everything to fin the number:

7 - 11 = -4

-4 x 8 = -32

Check to see if it's true:

-32/8 = -4

-4 + 11 = 7

So the original number was -32, because when you divide it by 8 then add 11 it equals 7.

Answer:

A=2t+29

B=5t+14

39 inches tall at equal height after 5 years

Step-by-step explanation:

Tree A at 5 years

2x5+29=39 inches

Tree B at 5 years

5x5+14=39 inches

Answer:

★ The answer for A= 2t + 19

★ The answer for B= 5t + 14

★ So the answer would 39 inches tall which would be equal to a height after 5 years

Step-by-step explanation:

Hope you have a great day :)

Step-by-step explanation:

4,670,000

->

4.67x10^6

(im pretty sure this is correct) :)

Answer:

I hope it helps

Answer:

6720 Kuna

Step-by-step explanation:

multiply the rate for one dollar by the amount of money your are converting

6.72 x 1000 = 6720

Answer:

x + 4 OR 1x + 4

Hope this helps, thank you !!

Answer:

x=2, y=1. (2, 1).

Step-by-step explanation:

x+3y=5

-x+6y=4

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

9y=9

y=9/9=1

x+3(1)=5

x+3=5

x=5-3=2

Answer:

x=2

y=1

Step-by-step explanation:

Answer:

24.56  (parallelogram)

Step-by-step explanation:

4 sides of ABCD: AB, BC, AD, DC

perimeter = AB + BC + AD + DC

distance of two points: √(x-x')²+(y-y')²

AB = √3²+4² = √25 = 5

BC = √7²+2² = √53 = 7.28

AD = √7²+2² = √53 = 7.28

DC = √3²+4² = √25 = 5

P = 5*2 + 7.28*2 = 24.56

The perimeter of the quadrilateral = 24.56 units.

A closed polygon with four sides, four vertices, and four angles is known as a quadrilateral. By joining four non-collinear points, it is formed. The amount of inside points of quadrilaterals is consistently equivalent to 360 degrees.

Given coordinates of quadrilateral ABCD, A(0, 3), B(3,-1).

C(-4, -3) and D(-7, 1)

for coordinate plane the length of a side is given by

d = √((x₂ - x₁)² + (y₂- y₁)²)

where d is the length of a side of a quadrilateral

AB = √((3 - 0)² + (-1-3)²)

AB = 5

BC = √((-4 -3)² + (-3 +1)²)

BC = √53 = 7.28

CD = √((-7 + 4)² + (1 + 3)²)

CD =5

DA = √((0+ 7)² + (3 - 1)²)

DA = √53 = 7.28

Perimeter of quadrilateral is given by sum of all the sides

= AB + BC + CD +DA = 5 + 7.28 + 5 +7.28

perimeter = 24.56 units

Hence perimeter = 24.56 units

Learn more about quadrilaterals;

https://brainly.com/question/12131358

#SPJ2

Answer:

im just going to assume you fogot the decimals. the total cost would be $618.75

Step-by-step explanation:

(55*2.75)= $151.25 for bread rolls

(85*5.50)= $467.50 for cakes

151.25+467.50= $618.75

Answer:

$74,860.50

Step-by-step explanation:

Wages per hour = $28.42

Allowance per hour = $9.97

8.30am to 4.00pm = 7.5 hours

Per day income (24 hours) = 7.5 * $28.42 + 7.5 * $9.97

= $213.15 + $74.775

= $287.925

Weekly income (Monday - Friday) = 5 days * $287.925

= $1,439.625

There are 52 weeks in a year

Yearly income = 52 weeks * $1,439.625

= $74,860.50

His yearly income = $74,860.50

Answer:

13.8

Step-by-step explanation:

Please let me know if you want me to add an explanation.

Answer:

B

Step-by-step explanati

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.   so whats left.... B

Answer:

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

A=30°

B=?

lets B be x

A=30°

x+30°=90°

x+30°-30°=90°-30°

X=60°

Answer:

What is the variable behind the 5?

Step-by-step explanation:

[tex]\frac{13*5^{3}*z^{10}}{x^{5}}[/tex]

OR

[tex]\frac{1625 z^{10}}{x^{5}}[/tex]

Answer:

(13x * 10^53) + 10.

Step-by-step explanation:

To simplify the expression "13x 10^53--10" and write it using only positive exponents, we can follow these steps:

Step 1: Remove the double negative signs by converting them to positive signs:

13x 10^53 + 10

Step 2: Rewrite the expression by moving the term with a positive exponent to the denominator:

13x / (10^-53) + 10

Step 3: To simplify the denominator, we can rewrite 10^-53 as (1/10^53):

13x / (1/10^53) + 10

Step 4: Simplify the division of a fraction by multiplying by its reciprocal:

13x * (10^53/1) + 10

Step 5: Multiply 13x by 10^53:

(13x * 10^53) + 10

The simplified expression, written using only positive exponents, is (13x * 10^53) + 1

Answer:

bro just use desmos

Step-by-step explanation:

it's a graphing calculator

Step-by-step explanation: 5

Step-by-step explanation:

I think

a/c = d/f

........

Answer:

5x+4

Step-by-step explanation:

Answer:

-21 feet or -39 feet

Step-by-step explanation:

Answer:

$57400

Step-by-step explanation:

Given data

P= $10,000

R= 6%

T= 30 years

Let us Assume the investment is compounded Anually

A= P(1+r)^t

A=10000(1+0.06)^30

A=10000(1.06)^30

A=10000*5.74

A=$57400

Hence the Final Amount after 30 years compounded anually is $57400

Answer:

20,800

Step-by-step explanation:

10.00 per hour so 10x8=80

then 80x5=400

400x52=20,800

Answer:

45   80

Step-by-step explanation:

Answer:

3.

∠BOA , ∠AOB

45°

4.

∠DEN , ∠NED

80°

Answer:

A. 5x/3y+x=5×6/(3×-4)=30/-12=-10/4=-5/2

B. 2x (square) - y (cube)=2×6²-(-4)³=72--64=72+64=136

Answer:

2 three times or 2, 2, 2, and 11

Step-by-step explanation:

if you're writing/explaining in exponential form, this is how you write it out, 2³ x 11¹

YW.

Answer: 40%

Step-by-step explanation:

I guessed on this but i got it right

Answer:

40%

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

We are given that

[tex]5\frac{1}{3}+(-4\frac{1}{6})+(-2\frac{1}{2})[/tex]

We have to find the value of given expression

[tex]\frac{5(3)+1}{3}-(\frac{4(6)+1}{6})-(\frac{2(2)+1}{2})[/tex]

[tex]=\frac{15+1}{3}-\frac{24+1}{6}-\frac{4+1}{2}[/tex]

[tex]=\frac{16}{3}-\frac{25}{6}-\frac{5}{2}[/tex]

LCM(2,3,6)=6

[tex]=\frac{32-25-15}{6}[/tex]

[tex]=\frac{32-40}{6}[/tex]

[tex]=\frac{-8}{6}[/tex]

[tex]=-\frac{4}{3}[/tex]

Answer:

Feel free to copy and paste:

Use the slope-intercept form to find the slope and y-intercept. To do this, use y=mx+b. Plug the variables where m=1 and b=2. Slope of the line is m and y-intercept is value of b, so the slope is 1 while the y-intercept is (0,2). Any line can be graphed using two points, and using two x values to plug them into the equation to find the corresponding y values: 0=x+2 is (-2,0). Y-intercept is already known, so use the known values and make a table where x= -2,0 and y = 0,2. Now, graph the line using the slope, y-intercept, and known points (-2,0), (0,-2) to plot the graph. Coincidingly, the answer to solve your system of equations will be the x-intercept: (-2,0).