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andrey2020 [161]
3 years ago
14

The vertices of Triangle ABC are Upper A (-4, 4), Upper B (-2, 3) and Upper C (- 3, 2). If Triangle ABC is reflected across the

line y= -2 to produce the image A'B'C', find the coordinates of the vertex B​'.
Mathematics
1 answer:
k0ka [10]3 years ago
6 0
Answer: B’ ( -2, -7)
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Part A: Billy rented a canoe at $14 for 2 hours. If he rents the same canoe for 5 hours, he has to pay a total rent of $29. Writ
zepelin [54]

Part A)

So we need the graph to pass through these points:

time = 2 and price=$14 -> (2,14)

time= 5 and price = $29 -> (5,29)

Standard form:

Ax+By = C

Let’s replace the points:

A*2+B*14=C

A*5+B*29=C

Let’s eliminate variables:

(A*2+B*14)-(A*5+B*29)=C-C

A*2+B*14-A*5-B*29=0

-3A-15B=0

-3A=15B

A=15B/-3

A=-5B

There are several numbers that verify this proportion. For example, if B=1, A=-5 (you can try others, there is not only 1 correct answer).

So we can make this equation:

-5x+y=C

Then we can calculate C using one point:

-5*2+14=C

-10+14=C

4=C

So one of the possible equations is: -5x+y=4

(Remember there are multiple correct answers for this item)

You can verify it with the other point:

-5*5+29=-25+29=4 ->OK

 

Part B)

Whatever you have found in Part A, you will find the same in Part B when you convert it to function notation. All you have to do is clear y:

-5x+y=4

y=4+5x

So the equation is: f(x)=4+5x


Part C)

First of all, you have to find f(0)

f(x)=4+5x

f(0) =4+5*0=4+0=0

f(0) is ALWAYS the constant not multiplied by x.

So you know it has to cross the y axes in y=4

Now let’s put 0 as y-value:

4+5x=0

5x=0-4=-4

x=-4/5

So now you know it has to cross the x axes in x=-4/5.

So you can put those intersections in the graph and you draw the line through those points. Labels: horizontal axes is x, and in this case represents time; vertical axes is y, and in this case represents price.

Remember there are other methods, too :)

5 0
3 years ago
13+(-19)=<br> Integer's<br> Best one is mark as brainlist
ANEK [815]

Answer:

-6

Step-by-step explanation:

13+(-19)  (distribute "+" sign into parentheses)

= 13-19

= -6

5 0
3 years ago
Cement pillars for a porch or 2 feet wide, 2 feet thick, and 8 feet tall, there are six pillars in all what is the total volume
PolarNik [594]
(8)(2)(2)=32
32(6)=192
Final answer: 192ft^3
3 0
3 years ago
Please help I need the answer ASAP!
stepladder [879]

Answer:

the second answer choice x greater than or equal to -6

Step-by-step explanation:

because u have to find the where the equation is defined. the range is the set  of values that correspond to the domain.

6 0
3 years ago
1. An amusement park gives away gifts to celebrate its grand opening. Every 2nd visitor will receive a
Mademuasel [1]

Answer:

Every 200 visitors, the visitor will receive all 4 gifts.

Step-by-step explanation:

With the given numbers, the lowest common number would be 200.

7 0
2 years ago
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