Type the correct answer in the box.


Rectangle PQRS is rotated 180 degrees clockwise about the origin to create rectangle P'Q'R'S. Complete the rule that describes the coordinates of rectangle P'Q'R'S after the rotation has occurred.


(x',y')=______

Interpreting the situation, we have that:

a) The system of equations is:

[tex]y = 2x - 7[/tex]

[tex]y = 6 + x[/tex]

b) Solving the above system, it is found that Jacob scored 13 and Paul scored 19.

Item a:

In our system, we have that:

Jacob said that Paul's score would be twice his own score if he earned 7 more points, which means that:

[tex]y + 7 = 2x[/tex]

[tex]y = 2x - 7[/tex]

Paul responded to Jacob by telling him his score was only 6 points higher then Jacob's, which means that:

[tex]y = 6 + x[/tex]

Item b:

Equaling both equations:

[tex]2x - 7 = 6 + x[/tex]

[tex]x = 13[/tex]

[tex]y = 6 + x = 6 + 13 = 19[/tex]

Jacob scored 13 and Paul scored 19.

A similar problem is given at https://brainly.com/question/24104709

Answer:

HGI = 30

b/ce they are Vertically opposite angles

JGH = FGI

Answer:

1: Angle HGI is 30 degrees, Angle FGI is the same as JGH

Hope that helps. Brainliest is appreciated if it did!

Answer:

50°

Step-by-step explanation:

(7x+1)+(18x+4)=180

x=7

Answer:

quadrant 2 you're welcome :-)

Answer:

Quadrant 2

Step-by-step explanation:

Since the x coordinate is negative, it must in quadrant 2 or 3

Since the y coordinate is positive, it must in quadrant 1 or 2

It must be in quadrant 2

Answer:

70

The answer is 70

Answer:

-18

Step-by-step explanation:

b(12) = 4 - 2(12-1)

= 4 - 2(11)

= 4 - 22

= -18

Answer:

ITS A ITS A ITS A

ANSWER = A

Step-by-step explanation:

Answer:

(a+6)²

by identity (a+b)²=a²+2ab+b²

(a+6)²= a²+ 2×a×6 + 6²

= a²+ 12a + 36

(2a)²+5a = 4a²+5a

Answer:

x=3

Step-by-step explanation:

Subract the x from the left side and add it to the right side and then you got your answer

The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4 so option (A) is correct.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given equation,

3x − 8y = 12

3x - 12 = 8y

y = (3/8)x - 12/8

By comparing y = mx + c

Slope m = 3/8

The parallel lines have the same slope thus y = (3/8)x - 4 will have the same slope of 3/8 so it will be parallel.

Hence "The equation that is parallel to 3x − 8y = 12 is y = (3/8)x - 4".

For more about the linear function,

brainly.com/question/21107621

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The complete question is below,

Which equation represents a line parallel to 3x-8y=12

A. y=3/8x-4

B. y=-3/8x-4

C. y=8/3x-4

D. y=-8/3x-4​

Step-by-step explanation:

that is really, really simple.

h(-3) means that we put the argument (-3) into the formula of the function everywhere where there is x.

h(x) = -3x - 10

so,

h(-3) = -3×-3 - 10 = 9 - 10 = -1

Answer:

-1

Step-by-step explanation:

h(x) = -3x - 10    

h(-3)            means to replace the x in the problem with the value of -3 and  

                   solve.

h(-3) = -3(-3) - 10

h(-3) =  9 - 10

h(3) = -1

Answer:

Top Right

Step-by-step explanation:

all the brackets are in the form (X, Y), Y=P(x)

just replace the X's in the brackets with the X's in the Options, if P(x) is the number that's in place of Y in the brackets, then that option is the correct one, in this case the top Right one. if this helped, please mark as brainliest

Answer:

Top right/second answer is correct

Step-by-step explanation:

I did it

Answer:

The vertex is (-5,-1)

Step-by-step explanation:

f(x) = 4(x+5)²-1

This is written in vertex form

y = a(x-h)^2 +k  where ( h,k) is the vertex

f(x) = 4(x- -5)²-1

H is -5 and k = -1

The vertex is (-5,-1)

Answer:

Step-by-step explanation:

1 km = 0. 621371 miles

28,300 km = 28,300* 0. 621371 miles = 17,584.7993 miles

1 hour = 60 *60 seconds  = 3,600 seconds

speed of 28,300 km/hr =

17,584.7993 miles / 3,600 seconds ≈ 4.88 miles / second

Answer:

Both Rectangles have a width of 4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2

Answer:

(2 x 14) + (3 x 14) = 5 x 14 = 70

Answer:

14(2 + 3)

Step-by-step explanation:

28 = 2 x 2 x 7

42 = 2 x 3 x 7

The HCF of 28 and 42 is given by 2 x 7 = 14

Answer:

8

Step-by-step explanation:

1+1+1+1+1+1+1+1=8

take 4 ones and group them into 2 groups gives you 8

Answer:

B. 18/48 and 21/56

C. 20/28 and 15/18

Step-by-step explanation:

Simplifying 18/48 = 3/8

Simplifying 21/56 = 3/8

Simplifying 20/ 28= 5/7

Simplifying 15/18 = 5/7

Answer:

18/48 and 21/56

Step-by-step explanation:

plato

Answer:

The answer would be 32

Step-by-step explanation:

equation would be: 6+2(12+1)

which then turns into 6+24+2

which equals 32

Answer:

32

Step-by-step explanation:

Since a = 3, b = 4, and c = -1

The Equation is:

= 2 × (3) + 2 × [(3) × (4) - (-1)]

= 6 + 2 × [12 - (-1)]

= 6 + 2 × (12 + 1)

= 6 + 2 × 13

= 6 + 26

= 32

Answer:

5/3

Step-by-step explanation:

(-2,-5) and (1,0)

using the slope formula you get your answer

The number of miles covered every evening obtujwd using a system of equation is 15 miles.

Let the number of miles per evening = m

Using the expression below :

Number of days(miles per morning + miles per evening) = 115 miles

5(8 + m) = 115

40 + 5m = 115

5m = 115 - 40

5m = 75

m = 75 / 5

m = 15 miles

Therefore, the Number of miles covered per evening is 15 miles.

Learn more : https://brainly.com/question/18796573

Answer:

63gm

Step-by-step explanation:

7 gold : 4 silver

It gives you 36 silver.

to get from 4 silver to 36 silver you multiply by 9.

you multiply the gold by the same amount 9.

7*9= 63

you can see that for every 7 gold pieces there is 4 silver pieces. they keep piling up the pieces until there's 36 silver pieces. now they wanna know how much gold there is.

Answer:

Step-by-step explanation:

Answer:

y-2=2(x-12)

the alternative is

y+3=2(x-2)

Step-by-step explanation: