What is the image of the point (-5,4) after a rotation of 270° counterclockwise
about the origin?

Answer: [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]

Step-by-step explanation:

To solve this problem, we want to make sure the denominators are the same on both fractions. Once they are equal, we can dd them together.

[tex]\frac{y+4}{y-8} +\frac{y-8}{y+4}[/tex]                      [multiply first fraction by y+4 and second by y-8]

[tex]\frac{(y+4)(y+4)}{(y-8)(y+4)} +\frac{(y-8)(y-8)}{(y-8)(y+4)}[/tex]   [distribute by FOIL]

[tex]\frac{y^2+8y+16}{(y-8)(y+4)} +\frac{y^2-16y+64}{(y-8)(y+4)}[/tex]   [add numerator]

[tex]\frac{y^2+8y+16+y^2-16y+64}{(y-8)(y+4)}[/tex]         [combine like terms]

[tex]\frac{2y^2-8y+80}{(y-8)(y+4)}[/tex]                       [factor out 2 from numerator]

[tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]                  

Now we know that [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex] is the factored form after adding.

Answer:6

Step-by-step explanation:

d=2r

Answer:

Frank can park 8.9 hours at the highest

Step-by-step explanation:

Here, we want to know the greatest amount of time that Frank can park given the amount he has to spend on parking.

From the question, we are told that he pays $2 for the hour and an extra $1 per additional hour.

Now, let the number of additional hour he is going to park be x. The bill for the additional hours will be ; $1 * x = $x

By adding this to the initial $2, we have the total $9.90

So, mathematically;

2 + x = 9.90

x = 9.9 -2

x = 7.9 hours

Now, the initial hour he parked is 1 hour + number of incremental hours = 1 + 7.9 = 8.9 hours

1,1 and -1,0 would be the answer

(-2, -1/3)   and   (1,  1 1/3) the coordinates of the points at which the rest stops should be built.

What is coordinates point?

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

According to the question,

In given figure,

x   from  -3   to  +3    

1/3   would be  -2    

2/3 would be   +1

y   from  -2  to  +3        

1/3  would be   -2 + 5/3 = -1/3      

2/3 would be  -2 + 10/3 = 1 1/3

The two coordinates

(-2, -1/3)   and   (1,  1 1/3)  

Hence ,  (-2, -1/3)   and  (1,  1 1/3)  the coordinates of the points at which the rest stops should be built.

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Answer:

Step-by-step explanation:

3(2y-7)=

Distribute

3 * 2y - 3 *7

6y - 21

Step-by-step explanation:

3(2y-7) = 6y-21

y = 21/6

y = 3

Answer:

-4x+20

Step-by-step explanation:

[tex]-4(x - 5)\\\\=-4x-4(-5)\\\\=-4x+20[/tex]

Answer:

( 6,-1)

Step-by-step explanation:

Point B is at ( 0,3)

We are going down 4 units so subtract 4 from y

and going right 6 units so add 6 to x

(0+6 , 3-4)

( 6,-1) is the location of B'

Answer:

B- its going 4 down from positive 3 which will make it -1 and 6 over from 0 which makes it 6 and that gives you the answer of (-1,6)

Answer:

1-Rectangular prism

2-cube

Step-by-step explanation:

Rectangular prism - Multiply the measurement of the length times the width, then times the height.

Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³

Answer:

(x+3)(x-3)  *  2  

4 (x-3)          (x+3)

= 1/2

Answer:

1/2

Step-by-step explanation:

[tex]\frac{(x-3) * (x+3) }{2(2x-6)}[/tex] × [tex]\frac{2}{x+3}[/tex]

[tex]\frac{(x-3)*1}{2(x-3)}[/tex]

[tex]\frac{1}{2}[/tex]

Answer:

I don’t have the answer but I recommend downloading socratic I use this app and it is so helpful

Step-by-step explanation:

It helps me with all my questions

Answer:

61& 7/20

Step-by-step explanation:

Answer:

They're parallel because the first part of the equations have the same numbers/variables (can see down below in bold). This tells us whether or not it's parallel. There's no need for any calculations due to this.

5x - 2y = 2

and

5x - 2y = 8

The answer of the equations doesn't affect it, only is they're the same number. Then it becomes overlap.

For Example:

5x - 2y = 9

and

5x - 2y = 9

they're the same, meaning overlap.

Answer:

4x = -4

Step-by-step explanation:

4x = -12+8

4x = -4

x = -1

Step-by-step explanation:

4x - 8 = -12

4x = 8 - 12

4x = -4

x = (-4)/4

x = -1

Answer:

33cm cubed

Step-by-step explanation:

6 blocks by 3 blocks by 2 blocks = 36 - 3 cause of the missing blocks = 33

W=20.3

solve what's in the parenthesis, move the terms, calculate, then divide both sides.

Answer:

20.3

Step-by-step explanation:

I did it and it was right on khan

Answer:

26

Step-by-step explanation:

ab+c

plug in #s

4(6)+2

start to solve

24+2

26

Answer:

therefore 25 numbers lie inbetween.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

|x+6|=|x-12|

x+6=±(x-12)

when x+6=x-12

6=-12

which is impossible hence rejected.

x+6=-(x-12)

x+6=-x+12

x+x=12-6

2x=6

x=6/2=3

so x=3

Answer:

71.500

Step-by-step explanation:

502 is closer to 500 than 600.

Answer:

71.50

Step-by-step explanation:

This is because 2 is not up to 5, so it can't be turned into 1 and be added to 0.

Answer:

x=3

Step-by-step explanation:

Step 1: Add two to 7 and inverse the minus 2

3x=7+2 3x=9

Step 2: Divide each number by 3.

3x/3=x and 9/3=3

so x=3

Answer:

zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625

Step-by-step explanation:

given: vanessa and zack are playing a game where the player with the lower score wins

score of vanessa=

[tex] - 3 \frac{5}{8} = - ( \frac{29}{8}) = - 3.625 [/tex]

score of zack:

[tex] -3 \frac{2}{3} = - ( \frac{11}{3} ) = - 3.666[/tex]

we can see -3.666<-3.625

zack has the lower score

Answer:

zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Answer:

x=(c/a+b)

Step-by-step explanation:

..........

Answer:

x = [tex]\frac{c}{a+b}[/tex]

Step-by-step explanation:

Given

ax + bx = c ← factor out x from each term on the left side

x(a + b) = c ← divide both sides by (a + b)

x = [tex]\frac{c}{a+b}[/tex]

Parallel lines have slopes which are equal to each other.

We know that y = 3x + 2 has a slope of 3, therefore, the line parallel to y = 3x + 2 has a slope of 3.

Answer:

$12.5

Step-by-step explanation:

Since prize is split equally.

So, money received by each person

= 75/6

= $12.5

The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A 63-year-old man has rowed around the world in his living room, according to a newspaper story. On a rowing machine that he received for his 50th birthday, he logged 24084 miles.

The number of miles per year is calculated as,

⇒ 24,084 / (63 - 50)

⇒ 24,084 / 13

⇒  1852.61 ≈ 2,000

The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.

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Answer:

umm there is no answer u have to make a diagram of the rational and irratinal or the area of numbers its not a letter u have to make a diagram

Step-by-step explanation: