All categories

3 years ago

Triangle ABC is going to be reflected over the line y = X.

Mathematics

1 answer:

Montano1993 [528]3 years ago

5 0

Answer:

(-7, 1)

Step-by-step explanation:

Coordinate rules :]

Reflection over x-axis -- (x, y) -> (x, -y)

Reflection over y-axis -- (x, y) -> (-x, y)

Reflection over y = x -- (x, y) -> (y, x)

Reflection over y = -x -- (x, y) -> (-y, -x)

You might be interested in

Which graph below solves the following system of equations correctly? y = three over four times x squared minus 3 y = negative t

Zielflug [23.3K]

Let's rewrite the system of equations:
y = three over four times x squared minus 3
y = (3/4) x ^ 2 - 3
y = negative three over four times x squared plus 3
y = (-3/4) x ^ 2 + 3
The system of equations is:
y = (3/4) x ^ 2 - 3
y = (-3/4) x ^ 2 + 3
The solutions are:
(-2, 0)
(2, 0)
Answer:
See attached image

7 0

3 years ago

Which solutions is the correct one?

Debora [2.8K]

Answer:

Apoint on negative x-axis

5 0

3 years ago

Read 2 more answers

Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b

Ede4ka [16]

Answer:

After 1.7 hours

Explanation:

1. Calculate the average speed of train B

60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

2. Build a table

When the two trains meet:

Train Average speed Distance time (distance/average speed)

mph

A 60 x x/60

B 80 240 - x (240 - x) / 80

3. Write the equation

The time, when the two trains meet, is the same for both trains:

$\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles$

4. Calculate the time:

x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0

2 years ago

A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What

krok68 [10]

The area of the required triangle is 9/π²(3 + √3) sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3 + √3).

Thus, the area of the required triangle is 9/π²(3 + √3) sq. units.

Learn more about a triangle at

brainly.com/question/13734546

#SPJ4

5 0

1 year ago

I am an Ethiopian girl and if u want help I can and I can befriend

vekshin1

Answer:

what does Ethipoin girl

Step-by-step explanation:

my english s not enougj but i can be ur bf

8 0

2 years ago