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inna [77]
2 years ago
5

Vertex A in quadrilateral ABCD lies at (-3, 2). If you rotate ABCD 180° clockwise about the origin, what will be the coordinates

of A′ of the rotated quadrilateral A′B′C′D′?
A. (3, -2)
B. (-3, 2)
C. (-2, 3)
D. (-3, -2)
Mathematics
2 answers:
Olegator [25]2 years ago
7 0

Correct answer. A: (3, -2)

Marysya12 [62]2 years ago
3 0
I think it might be B hope I’m right
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Pirate Jack has an equal number of gold and silver coins. If Pirate Jack splits all of his coins into 7 equal piles for his parr
Kipish [7]

Answer:

The least possible number of coins that Pirate Jack has is 77.

Step-by-step explanation:

i) let the number of coins in the piles for the parrots be x.

ii) therefore we can say that the total number of coins be 7x + 4

iii) let the number of coins in the piles for for the pirates be y.

iv) therefore we can say that the total number of coins be 11y + 4

v) therefore we can say that 7x + 4 = 11y + 4

vi) therefore 7x = 11y

vii) therefore the least possible number of coins that Pirate Jack has is equal to the LCM of 11 and 7 which is 77.

viii) x = 11 and  y = 7

3 0
2 years ago
Which graph represents the solution set for the inequality StartFraction one-half EndFraction x is less than or equal to 18.x ≤
Mrrafil [7]

Answer:

A number line from 0 to 60 in increments of 6. A point is at 36 and a bold line starts at 36 and is pointing to the left. ⇒ last answer

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- <u><em>When solving an inequality, there are some important points:</em></u>

# If the inequality is x > a, then it represented on the number line by

  a ray with empty small circle as end starts at a and pointed to

  the right (⇒ ∞)

# If the inequality is x ≥ a, then it represented on the number line by

  a ray with bold small circle as end starts at a and pointed to the

  right (⇒ ∞)

# If the inequality is x < a, then it represented on the number line

  by a ray with empty small circle as end starts at a and pointed to

  the left (⇒ -∞)

# If the inequality is x ≤ a, then it represented on the number line by

  a ray with bold small circle as end starts at a and pointed to the

  left (⇒ -∞)

* <em>Lets solve the problem</em>

∵ 1/2 x ≤ 18

- Multiply both sides by 2

∴ x ≤ 36

- To represent it draw a number line from 0 to 60 and the counted

 by 6 as 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

- Draw a ray with bold end starts at 36 and pointed to the left

∴ A number line from 0 to 60 in increments of 6. A point is at 36 and

  a bold line starts at 36 and is pointing to the left.

3 0
2 years ago
Read 2 more answers
Which statements are true about the graph of y &lt; Two-thirdsx + 1? Check all that apply. The slope of the line is 1. The line
Marina CMI [18]

The answer would be:

The x-intercept of the boundary line is (-3/2, 0).

The area below the line is shaded.

The slope of the line should be 2/3. The area below the line shaded because the function using y<.....

Coordinate 2,3 doesn't fulfill the function. 

y < 2/3x + 1

3 < 2/3(2)+1

3< 4/3+1

3< 2.3    ---->false

X intercept is when the y variable is zero. If you put it to the equation

 y = 2/3x + 1

0= 2/3x+1

2/3x= -1

x= -3/2

8 0
2 years ago
Read 2 more answers
Johann fits a linear model to a set of data. The line of best fit has the equation y=0.331986x+5.33286. The scatter plot with th
Rasek [7]

Answer:

6.33

Step-by-step explanation:

Here, we are asked to give a residual value at x = 3

This mean we are to predict the value of y at the point x= 3

To do this, what we need to do is to input the value x = 3 into the line of best fit equation.

The line of best fit equation according to the question is;

y=0.331986x+5.33286

Substituting x here, we have

y = 0.331986(3) + 5.33286

y = 0.995958 + 5.33286 = 6.328818

Question asks to give answer to the nearest hundredth and that is 6.33

5 0
2 years ago
jack bought 4 rulers and 5 compasses for $18.92 altogether. If Jacks brother bought 2 rulers and 4 compasses for $14.98, what wa
love history [14]

Answer:

Price of each compass = $3.68

Price of each ruler = $0.13

Step-by-step explanation:

Let R denote rulers and C denotes compasses

Jack bought 4 rulers and 5 compasses for $18.92

which algebraically translates to

4R + 5C = 18.92   eq. 1

Jack's brother bought 2 rulers and 4 compasses for $14.98

which algebraically translates to

2R + 4C = 14.98   eq. 2

Now we have two equations and two unknowns R and C

Choose any of the above equation and make any of the unknown the subject of the equation.

Choosing eq. 1

4R + 5C = 18.92

4R = 18.92 - 5C

R = (18.92 - 5C)/4    eq. 3

Now put this value of R into eq. 2

2R + 4C = 14.98

2((18.92 - 5C)/4) +4C = 14.98

9.46 - 2.5C + 4C = 14.98

1.5C = 5.52

C = 5.52/1.5

C = 3.68

So the price of each compass is $3.68

We can verify whether our answer is right or not. First we have to find the cost of R

Put this value of C into eq. 3

R = (18.92 - 5C)/4

R = (18.92 - 5*3.68)/4

R = (18.92 - 18.4)/4

R = 0.52/4

R = 0.13

So the price of each ruler is $0.13

Now let us verify:

from eq. 1

4R + 5C = 18.92

4(0.13) + 5(3.68) = 18.92

0.52 + 18.4 = 18.92

18.92 = 18.92  (hence proved)

from eq. 2

2R + 4C = 14.98

2(0.13) + 4(3.68) = 14.98

0.26 + 14.72 = 14.98

14.98 = 14.98  (hence proved)

7 0
2 years ago
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