1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetradugi [14.3K]
3 years ago
11

Point (2, 4) is reflected across the x-axis. What are the coordinates of its image?

Mathematics
1 answer:
klio [65]3 years ago
5 0

Answer:

The coordinates of its image are (2, -4)

Step-by-step explanation:

<em>Let us revise the rules of reflection across the axes</em>

  • If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)
  • If the point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)

∵ The point (2, 4) is reflected across the x-axis

→ By using the first rule above rx-axis (x, y) → (x, -y)

∴ Change the sign of its y-coordinate

∴ Its image is (2, -4)

∴ The coordinates of its image are (2, -4)

You might be interested in
3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?
Nonamiya [84]

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC<  AB+ BC =5+3=8 in

⇒AC<8 in

Also, the  difference of the two sides must be smaller than the length of third side

⇒ AC> | AB-BC| = |5-3| =2

AC> 2 in

therefore,  we can say  2< AC<8. Hence, AC can takes 3,4,5,6 values

4 0
3 years ago
What is the focus of the following graph?
diamong [38]

Answer:

F(1,5)

Step-by-step explanation:

This is a vertical parabola.

The vertex is at (1,4).

The directrix is y=3.

The distance from the vertex to the directrix is p=1

The focus is (1,4+p), which is (1,4+1)

Therefore the focus is (1,5)

5 0
3 years ago
The family wants to determine if they can drive to the national park using Just one tank of gas in their car. Determine whether
Nataliya [291]

Answer:

The Fullers can reach the national park

Step-by-step explanation:

<u><em>The complete question is</em></u>

The Fuller family wants to drive to a national park. Some information about their trip is given in the  table below.

Distance to national park 515 miles

Car’s gas tank capacity 20 gallons

Average gas mileage for car 26 miles per gallon

The family wants to determine if they can drive to the national park using just one tank of gas in their  car. Determine whether the Fullers can reach the national park. Show your work or explain your  answer.

we know that

The Average gas mileage for the car is 26 miles per gallon

That means

With 1 gallon the car runs 26 miles

so

using a proportion

Find out how many miles the car runs with 20 gallons (one tank of gas)

\frac{26}{1}\ \frac{miles}{gallon}=\frac{x}{20}\ \frac{miles}{gallons}\\\\x=26(20)\\\\x=520\ miles

Compare with the distance to the national park

520\ miles>515\ miles

therefore

The Fullers can reach the national park

7 0
3 years ago
Which of the following shows a true statement? -12 + (-7) = 12 - 7
Marizza181 [45]

Answer:

ok so its the first one

Step-by-step explanation:

it shows th same kind of aleration

5 0
3 years ago
Ying Zyiyu covers the first 300 miles of a trip traveling at 60 mph. and the last hundred miles traveling at 40 mph. What was hi
UNO [17]

Answer:

53.33 mph

Step-by-step explanation:

Speed is the rate of change of distance with time. Mathematically,

speed = distance/time

and is measured in miles per hour or meter per second.

To get the average speed over the entire trip, we must get the total time  spent on trip and the total distance, then apply the speed formula

Time for the first 300 miles

= 300/60

= 5 hours

Time spent on the last 100

= 100/40

= 2.5 hours

Total time of the trip = 5 + 2.5

= 7.5 hours

Total distance covered

= 300 miles + 100 miles

= 400 miles

Average speed on the trip

= 400/7.5

= 53.33 miles per hour

7 0
4 years ago
Other questions:
  • Write 12.5% as a fraction or mixed number in simplest form
    9·2 answers
  • Which statement is an axiom of Euclidean geometry? If two lines intersect, their intersection is a plane. If two planes intersec
    11·2 answers
  • F(x)=3x^3-12x^2+9x what the factor<br>​
    15·2 answers
  • A baseball tournament starts out with 128 teams. After each round, half of the teams are eliminated. After 5 rounds, how many
    12·1 answer
  • Algebra tile grid (x+2)(x-3)
    14·1 answer
  • The sum of three numbers is 9. The sum of the first two numbers is 6 more than twice the third number. The second number is the
    7·1 answer
  • Find the intersection of the following sets: Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}
    14·2 answers
  • Please help <br><br> ..............
    15·1 answer
  • 8th Grade Homework-
    7·1 answer
  • In circle N with the measure of arc MP= 98°, find mZMNP.<br> P<br> M<br> N
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!