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Svetach [21]
4 years ago
5

Triangle ABC is translated according to the rule (x,y) arrow (x+2,y-8) if the coordinates of the pre-image off point B are (4,-5

) what are the coordinates of B’?
Mathematics
1 answer:
Nadya [2.5K]4 years ago
3 0
Don't overthink it.

You have been given the method of translation:

(x,y)⇒(x+2,y-8)

All you have to do is plug in the x and y values of B, giving you (6,-13) for the coordinates of B'.


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A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer regio
Gwar [14]

Answer: area of the outer part of the​ rug= 16 -x²

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a square: Side²

Since the area of the rug including the inner square is:  

Area of the rug = 4² =16 in²

And the area of the inner square is equal to:

Area if the inner square = x²

To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.

Area of the outer part of the rug= 16 -x²

Feel free to ask for more if needed or if you did not understand something.

6 0
3 years ago
If Jaime is riding at 14 miles per hour and Cori is riding at 0.40 km per minute, how far will each of them bike in two hours? 1
natali 33 [55]

Answer:

Jaime: d = 45.08\ km

Cori: d = 48km

Step-by-step explanation:

Given

V_1 = 14\ miles/hour

V_2 = 0.40\ km/hour

Time\ (t)\ = 2\ hours

Solving Jaime Distance;

d = vt

Substitute values for v and t

d = 14\ miles/hour * 2\ hours

d = 28\ miles

Convert to kilometer

d = 28 * 1.61\ km

d = 45.08\ km

Solving Cori Distance:

d = vt

Substitute values for v and t

d = 0.40km/min * 2\ hours

Convert hours to minute

d = 0.40km/min * 2 * 60\ min

d = 0.40km * 2 * 60

d = 48km

3 0
3 years ago
Task Directions: Ms. Chang's class decides to order posters that advertise a walkathon to raise money for
mamaluj [8]

Answer:

a.

Clear Prints = 2p

Sue = 15 + 0.5p

b.  10 posters

c.  See Below

d.  Clear Prints

e. See Below

Step-by-step explanation:

<u>Complete Question:</u>

<em>Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.</em>

<em>a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.</em>

<em>b. For what number of posters is the cost the same for both companies? Explain.</em>

<em>c. Which company do you think the class should buy posters from? Explain your reasoning.</em>

<em>d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from? </em>

<em>e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?</em>

<em />

<u>Solution:</u>

a.

Let the number of posters be "p" so

Clear Print would take 2 * p or "2p"

Sue would take a fixed cost of $15 and 0.5p, so "15 + 0.5p"

b.

We want cost of both to be same. So we can equate:

2p=15 + 0.5p

Now, using algebra, we can solve for "p", the number at which both of the printers will cost same. Lets do this:

2p=15 + 0.5p\\2p-0.5p=15\\1.5p=15\\p=10

So, for 10 posters, the cost of both will be same

c.

It depends.

If the number of posters they order is LESS THAN 10, they should order from Clear Prints. If the number of posters they print is "10", then they can choose any one of the printers since cost would be same. If they print more than 10 posters, then they should choose to go with Sue, as it will cost less.

d.

If the budget is $18, they can get:

Clear Prints = 18/2 = 9 posters made

Sue = 15 already gone as fixed cost, so remaining is 18 - 15 = 3

At 0.5 per poster, 3/0.5 = 6 posters

So, taking Clear Prints would be better.

e.

The budget of 18 is increase by 10, so the budget is:

18 + 10 = $28

From clear prints, you can get:

28/2 = 14 posters

From Sue, you can get:

28 - 15(fixed cost) = 13 left for posters

13/0.5 = 26 posters

Definitely, Sue gives more, so decision made at $18 budget to get Clear Prints would be impacted because they should now go with Sue since it will give them better deal and more posters.

5 0
3 years ago
The side of a square is 2X unites. Select the expression that represents the area
Aneli [31]

Answer:

6x x 6x

Step-by-step explanation:they are all actually like terms so just  add then together and the multiply this

4 0
3 years ago
Kelvin has 36 coins, all nickels and quarters. The total value of all these coins is $3.80. How
VLD [36.1K]

Answer: 26 nickels

Step-by-step explanation:

6 0
3 years ago
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