MATHEMATICS HIGH SCHOOL

Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: Pentagon ABCDE and pentagon A prime B prime C prime D prime E prime on the coordinate plane with ordered pairs at A negative 4, negative 2, at B negative 6, negative 3, at C negative 5, negative 6, at D negative 2, negative 5, at E negative 2, negative 3, at A prime 3, 1, at B prime 1, 2, at C prime 2, 5, at D prime 5, 4, at E prime 5, 2 Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'? Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the x-axis Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the y-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the y-axis

Answers

Answer 1

Answer:

Answer:

Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis

Step-by-step explanation:

We are given Pentagon ABCDE.

with vertices as:

A (-4,-2) , at B(-6,-3) at C (-5,-6), at D (-2,-5) at E (-2,-3)

and the pentagon A'B'C'D'E' with vertices as:

A'(3,1) , B'(1,2) , C'(2,5) , D'(5,4) and E'(5,2).

Clearly we could observe that the image is formed by the translation and reflection of the pentagon ABCDE.

First the Pentagon is translated by the rule:

(x,y) → (x+7,y+1) so that the pentagon is shifted to the fourth coordinate and then it is reflected across the x-axis to get the transformed figure in the first coordinate plane as Pentagon A'B'C'D'E'.

Hence, the answer is:

Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis

Answer 2

Answer: The first choice is the correct answer.

To move from the lower left shape to the upper right shape, you first have to move 7 units to the right and then up 1 unit. (x + 7, y + 1).

Then, you have to flip it over the x-axis to get it up in the first quadrant.

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On Novenber 4, your bank statement shows a balance of $2,253.18. Your checkbook shows a balance of $2,324.34. If there are outstanding checks in the amounts of $105.50 and $158.10, deposits in transit amount to $605.27, account earnings of $68.51 and there is a service charge of $5.00. Determine the Adjusted Checkbook Balance and the Adjusted Statement Balance.

Answers

Answer:

The final answer is "$2387.85 and $2594.85".

Step-by-step explanation:

Given values:

The bank statement balance= $2,253.18

The checkbook balance = $2,324.34

outstanding check amounts= $105.50 and $158.10

transit amount= $605.27

account earnin(credits)= $68.51

service charge= $5.00

Adjusted Checkbook Balance =?

Adjusted Statement Balance=?

Adjusted the Checkbook Balance:

checkbook balance = $2,324.34

$\text{total checkbook balance = checkbook balance+ credits}\n$

$= \$ 2,324.34+ \$ 68.51\n\n= \$ 2392.85$

$\text{ Adjust check book balance= total checkbook balance - servicec charge}$

$= \$2392.85 - \$5.00\n\n= \$ 2387.85$

Adjusted the Statement Balance:

bank statement balance= $2,253.18

$\text{total Statement balance = bank Statement balance+ transit amount}\n$

$= \$ 2,253.18+ \$ 605.27\n\n= $ 2,858.45$

$\text{outstanding check amounts = $105.50+ $158.10}$

$= \$263.60$

$\text{ Adjust statement balance= total statement balance - outstanding check amount }$ $= \$ 2,858.45 - \$263.60\n\n= $ 2,594.85$

Which is greater 6.8 or 8.6?

Answers

8.6 because 8 is bigger than 6

8.6 is greater than 6.8 because the whole number in front of the decimal point (8) is greater than the whole number in front of the decimal point (6).

Let n = 2.5. what is the value of 2n(6n-3)+4n?

Answers

$n = 2.5, \ \n\n\ 2n(6n-3)+4n = 12n^2 - 6n +4n =12n^2-2n\n \n12n^2-2n=12 *(2.5)^2-2*2.5=12*6.25-5=75-5=70$

$2n(6n-3)+4n$

substitute $n=2.5$

$2*2.5(6*2.5-3)+4*2.5=5(15-3)+10=60+10=70$

A model is made of a car. The car is 3 meters long and the model is 3 centimeters long. What is the ratio of the length of the car to the length of the model? A. 3 : 3 B. 1 : 100 C. 1 : 3 D. 100 : 1

Answers

Answer:

Step-by-step explanation:

a meter is 100 centimeters so the ratio of the real car to the model is 300 centimeters to 3 centimeters, or 100:1 so D

.---------. _

'-O------O--'

To the nearest whole degree, what angle measure has a cosine of 0.5445?

Answers

cosx = 0.5445
arccos(x) = 0.5445
x = 0.995

Answer:

Step-by-step explanation:

Mr. Johnson leaves on a trip planning to travel 24 mph. How fast must his son James travel to overtake him in 5 hours if he starts 2 1 2 hours after his father?

Answers

The distance traveled by Mr.Johnson in 1 hour = 24 miles
Time after which his son James starts the chase = 2 1/2 hours
   = 5/2 hours
   = 2.5 hours
Then
time after which James will catch Mr.Johnson = 5 + 2.5 hours
      = 7.5 hours
Distance traveled by Mr.Johnson in 7.5 hours = 24 * 7.5 miles
   = 180 miles
So the distance James need to cover is 180 miles and that has to be covered in 5 hours
So
Speed at which James needs to travel = 180/5 miles per hour
   = 36 miles per hour
From the above deduction we can conclude that James needs to travel at a speed of 36 miles per hour to catch his fathe in 5 hours.

Final answer:

To overtake his father in 5 hours, who started 2.5 hours earlier, James will need to travel at an average speed of 36 mph.

Explanation:

This is a relative speed problem in physics. The father departs first and travels for a total of 7.5 (5+2.5) hours at a speed of 24 mph. Therefore, Mr. Johnson travels a total distance of 180 (24 * 7.5) miles. James leaves 2 1/2 hours after his father and needs to cover the same distance in 5 hours to overtake him. Therefore, by dividing the total distance (180 miles) by the time (5 hours), we find that James needs to travel at 36 mph to overtake his father.

Learn more about Relative Speed here:

brainly.com/question/14362959

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