MATHEMATICS HIGH SCHOOL

A triangle, ΔABC, is reflected across the x-axis to have the image ΔA'B'C' in the standard (x,y) coordinate plane; thus, A reflects to A'. The coordinates of point A are (c,d). What are the coordinates of point A'?

Answers

Answer 1

Answer:

The coordinates of point A' is (c, -d).

What is a reflection?

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

A triangle, ΔABC, is reflected across the x-axis to have the image ΔA'B'C'.

Now,

A = (c, d)

Reflection across the x-axis.

This means,

(x, y) → (x, -y)

So,

(c, d) → (c, -d)

Thus,

(c, -d) is the coordinates of point A'.

Learn more about reflections here:

brainly.com/question/12463306

#SPJ1

Answer 2

Answer:

Answer:

sorry fr being 7 years late, but the answer is option a!

Step-by-step explanation:

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Given g(x)= -x -2, find g(1)

The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.

Answers

12 and 14
12x12=144
14x14=196
196+144=340

the answer is 12 and 14 100%

-9x + 12x + 10 simplifies to

Answers

Answer:

$\boxed{\sf 3x + 10}$

Step-by-step explanation:

Simplify the following:

⇒-9 x + 12 x + 10

Grouping like terms:

⇒(12 x - 9 x) + 10

12 x - 9 x = 3 x:

⇒3 x + 10

3x+10 because you have to combine -9x and 12x which will give you 3x. Then the 10 can’t go to 3x because they aren’t like terms. So your answer is 3x+10.

a piggy bank contained $14.55 in quarters dimes and nickels if there were three more than twice as many dimes as nickels and three less than three times as many quarters as nickels how many of each kind of coin was in the piggy bank

Answers

Let x=number of nickels in the piggy bank
(2x+3)=number of dimes in the piggy bank
(3x-3)=number of quarters in the piggy bank

.05x+.10(2x+3)+.25(3x-3)=14.55
.05x+.20x+.30+.75x-.75=14.55

1.00x=14.55+.45
x=15
2x+3=33
3x-3=42

The number of nickles in the piggy bank would be 15.

The number of dimes in the piggy bank would be 33

The number of quarters in the piggy bank would be 42.

Hope I was able to help and that this was useful to you!!! :)

number of nickels in the piggy bank=15
number of dimes in the piggy bank=33
number of quarters in the piggy bank=42

YALL I NEED HELP LIKE RIGHT NOW PLZWrite the equation for the line shown below in slope-intercept form.
13
от
4
3
2
-1
2
3
4
-2
-3
4
Bi

Answers

-1/1 because it goes to the left once and up once so it will be one over one but it’s one the left side so it will turn negative so it will be negative one over one

Answer:

y=3x+4

Step-by-step explanation:

y=mx+b where m is the slope and b is y-intercept

y= (3/1)x+4

Four friends were born on consecutive years. The sum of their ages is 62. What is the age of the youngest friend?

Answers

Four friends were born on consecutive years.
The sum of their ages is 62. Let's find the age of the youngest friend:
Formula:
4x + 6 = 62
=> First is to Subtract 6 from both sides 4x = 56
Then next thing to do is to divide 4 from both sides:
=> x = 14 14 + 14 + 1 + 14 + 2 + 14 + 3 = 62
62 = 62
Thus the youngest age is 14

If y^8= 4 and y^7=3/x, what is the value of y in terms of x?

Answers

y^8 = y^7 * y => 4 = (3/x) *y => y = (4x)/3;

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