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
satela [25.4K]
2 years ago
11

What is the image of the point (-5, 4) after a rotation of 270° counterclockwise

Mathematics
1 answer:
Illusion [34]2 years ago
5 0

Answer:

(4, 5)

Step-by-step explanation:

this is the same as a 90° rotation clockwise.

with the coordinates of (-5, 4) we start in the top left quadrant (x values are negative, y values are positive).

and we end up in the top right quadrant (x and y values are positive).

the line from the origin to the point is perpendicular (90° angle) to the line of the origin to the original point, as we just rotated by 90° or 270°.

that means the rules for the slope of perpendicular lines apply :

x and y coordinate differences trade places, and the sign of their ratio is flipped.

luckily, because the origin is the reference point for both lines, the point coordinates are automatically the coordinate differences to (0, 0).

and because we need to get 2 positive coordinates, that means

(-5, 4) turns into (4, 5)

as the alternative (-4, -5) would be in the bottom left quadrant.

You might be interested in
Please help with this!!
Murljashka [212]

84 inches. 0.00213 in kilometers

8 0
2 years ago
What is an equation of the line in point-slope form? How can the point-slope form be written in function notation?
harina [27]
The equation of a line in point slope form = y - y_1 = m(x - x_1)

To put y - y_1 = m(x - x_1) into function notation, we need to get y by its self.
Lets say we had a point (2,2) and a slope of 3. Ok, now that we have our point and slope, lets turn point slope form into  function notation.

y - y_1 = m(x - x_1)
y - 2 = 3(x - 2)
y - 2 = 3x - 6
y = 3x - 6 + 2
y = 3x - 8
Change the y to f(x)
f(x) = 3x - 8      <-----Function notation. 
6 0
3 years ago
Calculate 15 liters is approximately how many gallons
timama [110]

3.963 us liquid gallons

6 0
3 years ago
Read 2 more answers
Which of the following best describes the slope of the line below? pls help asap
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

Undefined.

3 0
2 years ago
Read 2 more answers
How to solve 2/3(6x-9)=-34
castortr0y [4]
\frac{2}{3} (6x-9)=-34 \\ \\  \frac{2(6x - 9)}{3} =-34 \\ \\  \frac{2 \times 3(2x-3)}{3} =-34 \\ \\  \frac{6(2x - 3)}{3} = -34 \\ \\ 2(2x - 3) = -34 \\ \\ 2x - 3 - \frac{34}{2} \\ \\ 2x - 3 = -17 \\ \\ 2x -17 + 3 \\ \\ 2x = -14 \\ \\ x = - \frac{14}{2} \\ \\ x = -7 \\ \\ Answer: \fbox {x = -7}
5 0
3 years ago
Other questions:
  • Find the simple interest on $5,000 at 6% interest for 3.5 years.​
    6·1 answer
  • What is the value of y?<br><br> Enter your answer, as an exact value, in the box.
    10·1 answer
  • The path of firework is modelled using the equation h= -5d2+20d+1 what is the maximun height?
    9·1 answer
  • Chris wants to buy a tv that is 1500. If he has a 5% discount, what is the amount of the discount. plz answer fast
    10·1 answer
  • This figure consists of a rectangle and semicircle. What is the perimeter of this figure? Use 3.14 for pi. 19.42 cm 20.28 cm 23.
    13·2 answers
  • Select the correct answer What is |-2.24|?
    14·1 answer
  • An angle measures 135 degrees through what fraction does the angle turn
    14·1 answer
  • The question is in the screenshot. ( I really need help in this one)
    5·1 answer
  • How many 1/6 cup servings of. Rice are in 2/3 cup of rice
    11·1 answer
  • Heres sum points for yall
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!