What are the new coordinates of the figure above if it is rotated 180° clockwise about the origin?
A. (3,3), B'(-3,7), C'(3,7)

B. (-3,3), B'(-7,3), C'(-7,-3)

C. (-3,3), B'(-7,3), C'(7,-3)

D. (3,3), B'(3,7), C'(-3,7)

Answer:

[tex]\boxed{\sf The\: slope\: is \: 0}[/tex]

Step-by-step explanation:

[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

____________

[tex]\sf \left(x_1,\:y_1\right):\left(-1,\:3\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(3,\:3\right)[/tex]

[tex]\sf Slope\:(m)=\cfrac{3-3}{3-\left(-1\right)}[/tex]

[tex]\sf m=0[/tex]

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

Answer:

n = -4

Step-by-step explanation:

2 - 1/2 n = 3n + 16

Combine the constants by subtracting 2 from both sides.

-1/2n = 3n + 14

Combine the variable by subtracting 3n from both sides.

-7/2n = 14

Multiply both sides by 2 to simplify the fraction.

-7n = 28

Isolate n by dividing by -7 on both sides.

n = -4

Check.

2 - 1/2(-4) = 3(-4) + 16

2 + 2 = -12 + 16

4 = 4

Your answer is correct.

Answer:

2-16=3n+1/2n

-14=(6n+n)/2

-28=7n

n=-4

Answer:

13

Step-by-step explanation:

(24 + 2) / 2

26/2

=13

Answer:

1/ 5²

Step-by-step explanation:

= 5³ × 1/5⁵

= 125 × 1/5⁵

= 125/3125

= 1/25 or 1 / 5²

Domain is the x value which is the left to right values.

The line starts at 0 and ends at 100

The domain would be 0 <= x <= 100

Answer:

C. Scalene

Step-by-step explanation:

Scalene triangles have three different side lengths. This triangle has three different side lengths from the points given so it must be scalene.

Equilateral would be three identical side lengths.

Isosceles would have two identical side lengths.  

Answer:

1670.8 cm³

Step-by-step explanation:

Volume of square Pyramid = ⅓*a²*h

h = 15.3 cm

a = 18.1 cm

Plug in the values

Volume of the pyramid = ⅓*18.1²*15.3

Volume = 1670.81 ≈ 1670.8 cm³ (nearest tenth)

Answer: x = -2

Step-by-step explanation:

first, we move the constant to the right.

3x = -7 + 1

then, we calculate that.

3x = -6

finally, we divide both sides.

x = -2

The solution to the equation 3x - 1 = -7 is x = -2.

To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.

Here are the steps to solve it:

Step 1: Start with the given equation: 3x - 1 = -7.

Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:

3x - 1 + 1 = -7 + 1.

Simplifying, we get: 3x = -6.

Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.

We can do this by dividing both sides of the equation by 3:

(3x)/3 = (-6)/3.

Simplifying further, we have: x = -2.

Step 4: We have found the solution to the equation: x = -2.

Therefore, the solution to the equation 3x - 1 = -7 is x = -2.

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Answer:

The ratio would be 30:23

Step-by-step explanation:

It cannot be simplified ''pretty'' so it would stay as 30:23.

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

You need to find the slope of the two points given, then you need to add or subtract (depending on if the slope is increasing or decreasing). Once you find the slope add or subtract the answer onto R or S.

Step-by-step explanation:

SLOPE FORMULA-

y2-y1 / x2-x1

Answer:

-1/2x

Step-by-step explanation: negative reciprical

Answer:

the probability that sales will be less than 81,000 packages is 0.6681

Step-by-step explanation:

Given that;

Average sales μ = 87,000

standard deviation σ = 4,000

x' = 81,000

P( x < 81,000) = ?

so

P( x < 81,000) = P( x - μ / σ )

we substitute

P( x < 81,000) = P( 81,000 - 87000 / 4000 )

P( x < 81,000) = P(  - 6000 / 4000 ) = -1.5

from table;

P( z < 1.5 ) = 0.6681

Therefore the probability that sales will be less than 81,000 packages is 0.6681

Answer:

0.0323 = 3.23% probability that it will not be discovered

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Has emergency locator

Event B: Probability it will not be discovered.

Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.

So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].

90% of the aircraft not discovered do not have such a locator.

So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]

Probability of having the locator:

75% of 80%(Discovered).

10% of 20%(Not discovered). So

[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]

If it has an emergency locator, what is the probability that it will not be discovered?

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]

0.0323 = 3.23% probability that it will not be discovered

Answer:

$102

Step-by-step explanation:

First calculate the number of hours for morning and afternoon.

[8:15 - 12:15] 12 - 8 = 4 hours for the morning

[13:00 - 17:30] (17 - 13) + 1/2 an hour = 4.5 hours

Giving us a total of 8.5 hours.

12 x 8.5 = 102

Step-by-step explanation:

x - number of senior citizen tickets sold

y - number of child tickets sold

1st day: 3x + 6y = 102

2nd day: x + 12y = 184

2 (3x + 6y = 102)

= 6x + 12y = 204

-1 (x + 12y = 184)

= -x - 12y = -184

6x + 12y = 204

-x - 12y = -184

= 5x = 20

x = 4

3(4) + 6y = 102

= 12 + 6y = 102

= 6y = 90

y = 15

Answer:

One senior ticket is $ 4.00 and one child ticket is $ 15.00

Hope this helps! :D

Answer:

m= -4.5

Step-by-step explanation:

Let's solve your equation step-by-step.

6m−3=5−(m+39.5)

Step 1: Simplify both sides of the equation.

6m−3=5−(m+39.5)

6m−3=5+−1(m+39.5)(Distribute the Negative Sign)

6m−3=5+−1m+(−1)(39.5)

6m−3=5+−m+−39.5

6m+−3=5+−m+−39.5

6m−3=(−m)+(5+−39.5)(Combine Like Terms)

6m−3=−m+−34.5

6m−3=−m−34.5

Step 2: Add m to both sides.

6m−3+m=−m−34.5+m

7m−3=−34.5

Step 3: Add 3 to both sides.

7m−3+3=−34.5+3

7m=−31.5

Step 4: Divide both sides by 7.

7m

7

=

−31.5

7

m=−4.5

Step-by-step explanation:

6m-m=5-3+39.5

5m=-37.5

m=7.5

Answer: 6

Step-by-step explanation:

Answer:

ANSWER IS -3

Step-by-step explanation:

HOPE THIS HELPS

ANSWER IS -3

have a good day

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars

Answer:

biggest size is 115 inches.

smallest size is 40 inches

Step-by-step explanation:

the biggest size will be

Tmax= 2(168)/3 + 3

= 115 inches..

the smallest size

Tmin= 168/4 - 2= 40 inches

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)

Cheryl wrote 14 posts, because 21 - 7 = 14

Hope this helps <3

1. We have chosen a variable 'x' to represent the number of posts by Kevin.

2. Subtraction applies to this situation.

3. The number of posts written by Cheryl is (x - 7).

4.  If Kevin wrote 21 posts, Cheryl wrote 14 posts.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, Kevin writes 'x' number of posts,

Therefore, Cheryl writes (x - 7) posts.

We could have chosen any letters for the number of posts Kevin writes,

And as Cheryl writes fewer posts than Keving we subtracted the number.

If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,

(21 -7).

= 14 posts.

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Answer:

Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability

Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability

Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability

Step-by-step explanation:

The probability of the given events is:

According to the question,

Number of outcomes = 8

Event A:

Having the alternative even and odd numbers.

→ [tex](EOE, OEO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event B:

No even number and last two rolls.

→ [tex](EOO,OOO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event C:

Exactly on odd number:

→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]

Thus the above approach is correct.

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Answer:

The answer is :60

Step-by-step explanation:

Hmmmm...... because

Answer:

9

Step-by-step explanation:

221/13=17

So $17 for one hour

153/17=9

I dunno if this is right :)

Answer:

Carmen has to work 9 hours to make $153.

Step-by-step explanation:

Well first we would need to find out how much she makes an hour, so to do that we would divide the 221 by 13 hours and get 17. Then you just keep multiplying until you have the right number.

17x4=68

17x5=85

17x6=102

17x7=119

17x8=136

17x9=153