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
Ostrovityanka [42]
3 years ago
11

The quadrilateral shown is rotated 90 degrees clockwise about the origin. In which quadrant is the image of the quadrilateral lo

cated? *
Captionless Image
Mathematics
1 answer:
iren2701 [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.

that is the answer if it's wrong then it must of been wrong question I gave answer to or I just got it wrong

You might be interested in
Find the equation for the circle with center ​(4​,3​) and passing through ​(2​,-4​)
notsponge [240]

Answer:

(x - 4)^{2} + (y - 3)^{2} = 53

Step-by-step explanation:

The general equation of a circle is as follows:

(x - x_{c})^{2} + (y - y_{c})^{2} = r^{2}

In which the center is (x_{c}, y_{c}), and r is the radius.

In this problem, we have that:

x_{c} = 4, y_{c} = 3

So

(x - 4)^{2} + (y - 3)^{2} = r^{2}

Passing through ​(2​,-4​)

We replace into the equation to find the radius.

(2 - 4)^{2} + (-4 - 3)^{2} = r^{2}

4 + 49 = r^{2}

r^{2} = 53

The equation of the circle is:

(x - 4)^{2} + (y - 3)^{2} = 53

7 0
3 years ago
If b is the midpoint of ac, ab=12x+11 and bc= 14x - 1, find AB
xxMikexx [17]

Answer:

AB = 83

Step-by-step explanation:

The mid-point of any segment divides the segment into two equal parts

∵ B is the midpoint of segment AC

→ That means B divides AC into two equal segments AB and BC

∴ AB = BC

∵ AB = 12x + 11

∵ BC = 14x - 1

→ Equate them

∴ 14x - 1 = 12x + 11

→ Subtract 12x from both sides

∵ 14x - 12x - 1 = 12x - 12x + 11

∴ 2x - 1 = 11

→ Add 1 to both sides

∵ 2x - 1 + 1 = 11 + 1

∴ 2x = 12

→ Divide both sides by 2

∵ \frac{2x}{2}=\frac{12}{2}

∴ x = 6

→ To find AB substitute x by 6 in its expression

∵ ab = 12x + 11

∵ x = 6

∴ AB = 12(6) + 11

∴ AB = 72 + 11

∴ AB = 83

3 0
4 years ago
Two lines are perpendicular if they are para el and cross
eduard

Answer:

If they create a 90 degree angle then yes.

3 0
4 years ago
It takes Doug 3 days to reroof a house. If Doug's son helps, it can be done in 2 days. How long would it take Doug's son to do t
Bess [88]
It would take his son 3 days
7 0
3 years ago
Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?
riadik2000 [5.3K]

Answer:

  • 24-cent: 11
  • 33-cent: 19

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

  33x +24(30 -x) = 891

  9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

  x = 19 . . . . . . . . . . . . divide by 9

  30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

_____

<em>Additional comment</em>

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

  v2(x) +v1(N -x) = V

  x(v2 -v1) = V -v1·N

  x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

  x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

7 0
3 years ago
Other questions:
  • 432 divided by the different between 279 and 63
    11·1 answer
  • The two dot plots show the results of rolling a die 15 times on two occasions. Comparing the variability of the dot plots, which
    10·2 answers
  • X+3y = 2
    13·1 answer
  • How do you write this expression 6(x-5) in words
    9·1 answer
  • Explain what a ratio is in your own words.
    6·2 answers
  • Over the weekend, Shivani ate 1/4 box of cereal, and Ryan ate 3/8 of the same box. What portion of the box of cereal did they it
    15·1 answer
  • Solve the equation.<br> 3(2x + 7) = - 23 + 14
    5·2 answers
  • If 9x - 9 = 9, what is X?
    8·2 answers
  • For a certain company, the cost for producing x items is 45x + 300 and the revenue for selling x item is 85x-0.5x^2.
    13·1 answer
  • To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFractio
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!