Rotate rectangle ABCD 90 degrees clockwise about the origin. What are the new coordinates?

Answer:

y = -[tex]\frac{1}{3}[/tex] + 4

Step-by-step explanation:

first of all we know the slope of the equation which is 3x. then we know that we are supposed to write an equation that is perpendicular to y = 3x + 3. so since it is supposed to be perpendicular we have to make the current slope opposite.

so slope for our new equation will be -[tex]\frac{1}{3}[/tex]x.

now since we know our slope we use point-slope form and plug everything in.

point-slope form: y1-y=m(x1-x)

plug it in:

y - 2 = -[tex]\frac{1}{3}[/tex] (x - 6)

= y - 2 = -[tex]\frac{1}{3}[/tex]x +2

= y = -[tex]\frac{1}{3}[/tex] + 4

Answer:

For question 3 its definitely 5^15 and I searched 4 so I thinks its 71 or 161? sorry I don't know angles but 3 is correct

Answer:

[tex] {5}^{4 + 8 + 3} = {5}^{15} \\ \\ 90 - 19 = 71[/tex]

Answer:

[tex]{ \rm{3(x - 4) - 12 = 2(x - 6) + 8}} \\ \\ { \rm{3x - 12 - 12 = 2x - 12 + 8}} \\ \\ { \rm{3x - 24 = 2x - 4}} \\ \\ { \rm{3x - 2x = - 4 + 24}} \\ \\ { \rm{x = 20}}[/tex]

Answer:

it would be 23

Step-by-step explanation:

5-3=2

5-8=3

12-8=4

17-12=5

23-17=6

Answer:

[tex]\frac{2}{5\\}[/tex] + [tex]\frac{5}{10}[/tex]= [tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Because this is not multiplication or diving you must find the same denominator, which is 10. Now, because 5/10 is already 10 I don't need to change that, but if you see that 2/5 does not have the denominator of 10. Then, I need to multiply 2 on the numerator and the denominator because 5(2) equals 10 and whatever is multiplied to the denominator has to be multiplied to the numerator. So. now the numerator is 4. Lastly, what you need to do is add them together. So, (2+5)=7 and the denominator is stays as 10 because it is addition. So, our final answer is 9/10

[ Hope that helped :) ]

Answer:

1/5+1/2²+3/10•5=1/7²+15/100

The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given expression,

(1/5+1/2)^2+3/10⋅5

⇒ (1/5+1/2)²+ 15/10

Take LCM in the bracket as 10

⇒ [(2 + 5)/10]² + 15/10

⇒ (7/10)² + 15/10

⇒ 49/100 + 15/10

Take LCM as 100

⇒ (49 + 150)/100 = 199/100

⇒ 1 99/100

Hence "The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100".

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Temperature

the temperature in Sitka 2 hours after midnight is :

= 29.7°F + (2 × 1.23°F)

= 29.7°F + 2.46°F

= 32.16°F

So, the temperature in Sitka 2 hours after midnight is 32.16°F

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Answer:

Step-by-step explanation:

After 2 hours the temperature is:

Answer:

jhhffffffffffffffffffffhfbrsjjssssssssssss

Step-by-step explanation:

Answer:

5/14

Step-by-step explanation:

add 5 and 9 to get the denominator

1.3 Is that the answer you looking for

Answer:

Step-by-step explanation:

The relationship is the vertical shift of f(x) 1 unit down.

Correct choice is C

Answer:

The graph of g(x)is the graph of f(x) translated 1 unit down.

Step-by-step explanation:

y' = y - 1

Answer:

98 per day

Step-by-step explanation:

490 / 5

= 98

Answer:

0.4

Step-by-step explanation:

type in a calculator 1 divide by 2.5 to get the answer

Answer:

D) 22

Step-by-step explanation:

40-8-10=22

8=20%

10=¼

Answer:

He sold 22 books online.

Step-by-step explanation:

20% of 40 books is 8.

40-8=32

Again,

1/4 of 40 is 10

Now,

Remaining books =40-(8+10)

=40-18

=22

Answer:

5.00

Step-by-step explanation:

The direct distance between Buckingham Palace and St. Paul's Cathedral is 5 kilometers.

Given the coordinates of Buckingham Palace as (-2, 2) and St. Paul's Cathedral as (-2, -3).

To find the direct distance between two points on a grid, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula in a 2-dimensional Cartesian plane is:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

We can calculate the distance between them as follows:

x₁ = -2, y₁ = 2 (Coordinates of Buckingham Palace)

x₂ = -2, y₂ = -3 (Coordinates of St. Paul's Cathedral)

Distance = √((-2 - (-2))² + (-3 - 2)²)

= √(0² + (-5)²)

= √(0 + 25)

= √25

= 5 kilometers

So, the distance is 5 kilometers.

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Answer:

4x+12

I think that's it............

Step-by-step explanation:

20-16/16 x100

4/16 X 100 = 25%

Answer: 92.5

Step-by-step explanation:

96 93 93 92 91 84 are your highs and to find the mean you cross one on each side until there is only one or 2 left.

you are left with 93 and 92 so you add them together and divide by two to get 92.5 which is your answer

Answer:

=100.53

Step-by-step explanation:

Answer:

y+2 = (-1/2)(x-3)

Step-by-step explanation:

Answer:

The flagpole is 12 feet

Step-by-step explanation:

The boy's shadow is half of the flagpole's shadow. So the flagpole is 2 times as much as 6 ft because the boy is six feet. 6 x 2 = 12. So the final answer is 12 ft.

Answer: 40

Step-by-step explanation:

15 / 37.5 x 100 = 40

Answer:

9

Step-by-step expation:

Answer:

25 is already in the simplest form. It can be written as 0.4 in decimal form (rounded to 6 decimal places).

so its in its simplest form

Answer:

4 2/5 or 4.4

Step-by-step explanation:

2/5 x 11

22/5

Make sure to turn it into a mixed number.

Answer:

Step-by-step explanation:

Perimeter formula:

Given:

Find the value of x:

BC is parallel side to AD and is:

BC must parallel to DA hence equal

Now

BC=2(6)=12units