Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′. If the endpoints of line AB are located at (0, -7) and (8, 8), what is the length of line A'B'?
Use the distance formula to help you decide (picture added)

1. Indian System:-

(a) 23,45,678

(b) 56,78,090

2. International System:-

(a) 234,589

(b) 9,807,062

Answer:

Step-by-step explanation:

Use PEDMAS. So first addition has to be done as it is inside parenthesis. After that multiplication has to be done

0.060  +

0.008

0.068

In decimal multiplication, first multiply the numbers ie, 2 * 68 which is 136. Then count the number of decimal places in both the multiplicands and keep the same number of decimal places in the result(136).

0.02 * 0.068 = 0.00136

Answer:

0.00136

Step-by-step explanation:

According to Order of Operations rules, we must do work that appears inside parentheses first.

Therefore we combine 0.06 and 0.008 to obtain 0.068.

Next comes multiplication:  0.02(0.068) = 0.00136

Answer:

B

Step-by-step explanation:

Answer:

7×5 4×5 777⁷7777777777×7

Answer:

it is called factors

Step-by-step explanation:

Answer:

74.8925767 rounded to 75

Step-by-step explanation:

Answer:

Step-by-step explanation:

By using regression line calculator,

Equation of the line of best fit,

c). y = 0.74x + 0.03

Here, x = Number of pints

y = Weight in pounds

d). We have to find the weight of 10 pints of the blueberries,

By substituting x = 10 in the equation,

y = 0.74(10) + 0.03

y = 7.4 + 0.03

y = 7.43 pounds

e). If per pound cost of the blueberries = $2.25

By substituting y = 2.25 in the equation,

2.25 = 0.74x + 0.03

x = [tex]\frac{2.22}{0.74}[/tex]

x = $3.00 per pound

Therefore, cost of 10 pounds blueberries = 3 × 10

                                                                     = $30

Answer: 3 hours

Step-by-step explanation:

the answer this can be solved by the function:

324 = 27x + 243

-243          -243

27x = 81

/27     /27

x = 3 hours past 7.

Answer:

A) y=3cos(-x)

Step-by-step explanation:

Because the amplitude of the graph is 3, this eliminates options C and D as their amplitudes are different. With the period of the graph being 2π, B cannot be correct because that would have a period of π/2. Therefore, A is correct.

Answer:

1

[tex] = \frac{45}{100} \times 75 \\ = 33.75[/tex]

2.

[tex] \frac{150}{100} \times 36 \\ = 54[/tex]

3.

[tex] \frac{850}{100} \times 255 \\ = 21675[/tex]

Answer as a fraction = 2/3

Answer in decimal form = 0.667 (approximate)

=======================================================

Explanation:

The first thing we need is to find the mean. Add up the values to get 3+3+4+5+5+4 = 24. Then divide by n = 6 since there are 6 values.

24/n = 24/6 = 4

The mean is 4

Now subtract the mean from each value

Apply absolute value to each result so that the difference is not negative.

We get this new list: {1, 1, 0, 1, 1, 0}

Now compute the mean of that new list to get the final answer

1+1+0+1+1+0 = 4

4/n = 4/6 = 2/3 = 0.667 approximately

Answer:

hi how are you

Step-by-step explanation:

hope you are good

Answer:

no

Step-by-step explanation:

no

Answer:

1/27

Explanation:-

(1/3)^3=(1x1x1)/(3x3x3)=1/27

Answer:

0.03703703703 or

                                                                                                                                 ²/27

sorry i am late but still hope I helped

Step-by-step explanation:

Answer:

Future Value= $17,170.12

Step-by-step explanation:

Giving the following information:

Monthly deposit (A)= $70

Interest rate (i)= 0.04/12= 0.0033

Number of periods (n)= 15*12= 180 months

To calculate the future value (amount saved), we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {70*[(1.0033^180) - 1]} / 0.0033

FV= $17,170.12

Answer:

A

Step-by-step explanation:

Using the Sine rule in Δ ABC

∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then

[tex]\frac{13}{sin100}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )

BC × sin100° = 13 × sin30° ( divide both sides by sin100° )

BC = [tex]\frac{13sin30}{sin100}[/tex] ≈ 6.6 ( to the nearest tenth )

Answer:

0.108³

Step-by-step explanation:

21023÷122³=0.011577...

cube root of 0.11577 = 0.1075988..

therefore, ans = 0.108³

Answer:

4) y + 3 = 6x

Step-by-step explanation:

The y-intercept of your graph is (0, -3)

Putting 4) in standard form:

y = 6x - 3 the y-intercept is also (0, -3)

Answer:

5.036 km

Step-by-step explanation:

36  m ÷ 1000  = 0.036 km

5 km + 0.036 km = 5.036 km

Answer:

Y=x^2 -2x + 3

Step-by-step explanation:

it's quadratic like:-)

Answer:

The slope is -1 and the y-intercept is -1 ?

[tex]slope = \frac{ - 6 - 1}{5 - ( - 2)} \\ = \frac{ - 7}{7} \\ = - 1 \\ y - intercept : \\ y = mx + c \\ 1 = ( - 1 \times - 2) + c \\ c = - 1 \\ [/tex]

Answer:

slope -1 and y intercept is -1

hope this helps

have a good day :)

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\rm{-2x + 4 > 8}[/tex]

[tex]\large\textsf{SUBTRACT 4 to BOTH SIDES}[/tex]

[tex]\rm{-2x + 4 - 4 > 8 - 4}[/tex]

[tex]\large\textsf{CANCEL puts 4 - 4 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}[/tex]

[tex]\rm{8 - 4 = \boxed{\bf 4}}[/tex]

[tex]\rm{NEW\ EQUATION: -2x > 4}[/tex]

[tex]\large\textsf{DIVIDE -2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }[/tex]

[tex]\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}[/tex]

[tex]\rm{\bold{x < -2 }}[/tex]

[tex]\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

x = 4 and y = 8.

Step-by-step explanation:

The given equations are :

-8x+y=-24 ....(1)

and

3x-2y=-4 .....(2)

Multiplying equation (1) by 2.

-16x+2y=-48 ....(3)

Adding equation (2) and (2).

3x-2y+(-16x+2y) = -4-48

3x-16x= -52

-13x = -52

x = 4

Put the value of x in equation (1)

-8(4)+y=-24

-32 + y = -24

y = -24+32

y = 8

Hence, the solutions of the equations are x = 4 and y = 8.

Answer:

106 items

Step-by-step explanation:

We are actually finding the "break even" point, where revenue = costs.

Set the revenue 7.5x - 100 equal to the costs 79.86 + 5.8x:

7.5x - 100 = 79.86 + 5.8x

Group the x terms together:    

1.7x  - 100  =  79.86

and then group the constants together on the right side:

  1.7x = 179.86

Solving for x, we get 105.8 (items)

Round this up:  106 items

The company will begin making a profit as production passes 106 items.

Answer:

first one : 7.5x -100 > 79.86 + 5.8x

second one : x > 105.8

last one : 106

Step-by-step explanation:

Answer:

Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Step-by-step explanation:

What do we know:

What are we solving for;

Equation would be:

So for Jaden to buy a $290 bike, y would have to be replaced with 290, and solve for x;

=> 290 = 25x + 140

=> 290 - 140 = 25x

=> 150 = 25x

=> 150 / 25 = x

=> 6 = x

Therefore, Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Hope this help!

Answer:

This becomes way easier if you have the knowledge of inverse functions.

Let me make this clear. You have f(x)=x2+1 f(x)=x2+1 and g(f(x))=1/(x2+4)g(f(x))=1/(x2+4). Now pause and think about the second function. The function is defined as g(f(x))g(f(x)), right. now what if there is some way that you could manipulate this function and some how change it to g(x)g(x). Or think about with what other function should you multiply f(x)f(x) [the function in g(f(x))g(f(x)) ] to get xx [so that the function would be g(x)g(x)]. It is f(x)−1f(x)−1 right.

So let us find f(x)f(x) inverse. f(x)=x2+1f(x)=x2+1 then f(x)−1=x−1−−−−−√f(x)−1=x−1 right [ just swipe the xx with f(x)

Answer:

A = 38,720 sq ft

Step-by-step explanation:

the formula requires you to multiply base and height; we know the base is 320 but do not know height (which is the perpendicular segment connecting both sides of 320 feet)

we can create a right triangle by drawing the height which will have a hypotenuse of 160 and we know the angle across from the height is 49° (180 minus twice 131, divided in half)

therefore, we can use the law of sines to find height:

sin 90°/1 = sin 49°/h

h = 160·sin 49° is approximately 121

A = 320 x 121 ≈ 38,720

Answer:

i got -2

Step-by-step explanation:

1 step; 8*x-5-(11)=0

2 step; 8x - 16  =   8 • (x - 2)

3 step;  Solve :    8   =  0

4 step; Solve  :    x-2 = 0

final part  Add  2  to both sides of the equation :  

                     x = 2