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
pantera1 [17]
3 years ago
6

The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of the quadrilateral located?

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

Option (2). 1

Step-by-step explanation:

Coordinates of point A, B, C and D are,

A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).

Quadrilateral ABCD when rotated 90° clockwise about the origin,

Rule for the rotation of the vertices,

(x, y) → (y, -x)

Following the rule of rotation coordinates of the image points,

A(-4, 4) → A'(4, 4)

B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

You might be interested in
I need help with this,, will give brianliest and +15 points
Anit [1.1K]

Answer:

41x² - 27x + 27

Step-by-step explanation:

Perimeter of Rectangle:

= 2(20x²-12x+4) + 2(5x²-5x+15)

= 40x²-24x+8 + 10x²-10x+30

= 50x²-34x+38

Perimeter of Triangle:

= 6x²+6x+3x+3+3x²-2x+8

= 9x²+7x+11

Difference:

(50x²-9x²)+(-34x+7x)+(38-11)

= 41x² - 27x + 27

8 0
2 years ago
Which of the following is the solution to the quadratic equation <br> x2−10x+21=0 ?
Annette [7]

Step-by-step explanation:

the answer is the image above

7 0
3 years ago
Read 2 more answers
4x-4y=-8<br>-2x+5y=13<br>solve by substitution​
Aleksandr-060686 [28]
X is equal to 8 and y is equal to 9

5 0
3 years ago
Estimate 1 13 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six decimal
babunello [35]

Answer:

(a) 4.152698

(b) 3.215557

Step-by-step explanation:

(a)

\int\limits^{13}_1 {cos(x^2)} \, dx =M_n=$\sum_{n=1}^{\infty} f(m_i)\Delta x $

n=4, so :

Each subinterval has length :

\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3

Therefore the subintervals consist of:

[1,5], [5,9], [9,13]

Now, the midpoints of these subintervals are:

\frac{1+5}{2} =3\\\\\frac{5+9}{2} =7\\\\\frac{9+13}{2} =11

Hence:

M_4= 3*(cos(3^2))+3*(cos(7^2))+3*cos((11^2))\approx 4.152698

(b)

\int\limits^{13}_1 {cos(x^2)} \, dx =T_n=\frac{\Delta x}{2} (f(x_o)+2f(x_1)+2f(x_2)+...+2f(x_n_-_1)+f(x_n))

n=4, so :

Each subinterval has length :

\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3

Therefore the subintervals consist of:

[1,5], [5,9], [9,13]

The endpoints of the subintervals consist of:

5,9

Hence:

T_4= \frac{3}{2}(cos(1^2)+2*cos(5^2)+2*cos(9^2)+cos(13^2)) \approx 3.215557

8 0
3 years ago
Carolyn has cut a piece of ribbon 29 centimeters long from a roll. Which
kicyunya [14]

Answer:

A. meter stick

Step-by-step explanation:

The other answers do not make sense.

B is used to measure liquids.

C is used to measure weight/mass

D is used to measure the ingredients needed for a recipe, usually cooking.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is a coterminal angles
    9·1 answer
  • Express with positive exponents
    15·1 answer
  • Fill in the blanks-
    10·1 answer
  • How do you create a truth table to prove that for any statement, p,~(~p) equals p?
    15·1 answer
  • Which expression is equivalent to −30+(−40)+(−70) ?
    15·1 answer
  • Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the es
    12·2 answers
  • I need help someone THIS IS DUE IN 10 MIN pls someone
    11·2 answers
  • The green shape is a dilation Of the black shape. What is the scale factor of the dilation?
    6·1 answer
  • Solve the inequality.
    13·1 answer
  • I need help pleaseeeee
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!