2x + 7y = 3
= -4y
Y
=

The coordinate after a rotation of 180° counterclockwise about the origin is (0, 9).

Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a centre of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.

The given coordinate is (0, -9).

Rotation rule:

Rotating a point that has the coordinates (x,y) 180° about the origin in a clockwise or counterclockwise direction, produces a point that has the coordinates (-x,-y).

Now, (0, -9) → (0, -(-9))

(0, -9) → (0, 9)

Therefore, the coordinate after a rotation of 180° counterclockwise about the origin is (0, 9).

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Answer:

(-1,2)

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Answer:

12 nickels

36 dimes

52 quarters

Step-by-step explanation:

Let x = no. of nickels

3x = no. of dimes

x + 40 = no. of quarters

5x = value of the nickels since each nickel is 5 cents

10(3x) = 30x = value of the dimes since each dime is 10 cents

25(x + 40) = 25x + 1000 = value of the quarters since each quarter is 25 cents

Now, 5x + 30x + 25x + 1000 = 1720     ($17.20 = 1720 cents)

60x + 1000 = 1720

60x = 720

x = 12 nickels

3x = 36 dimes

x + 40 = 52 quarters

Check:  12 nickels are worth $.60

36 dimes are worth $3.60

52 quarters are worth $13

.60 + 3.60 + 13 = 17.20

Answer:

what is you belling? yesterday y monday

Answer:

C is the answer

Step-by-step explanation:

Answer:

C. Quadrant IV = (8,-6)

Step-by-step explanation:

Q I = + +

Q II = - +

Q III = - -

Q IV = + -

(-8, 6) = II

(-8, -6) = III

(8, -6) = IV

(8, 6) = I

Quadrant IV = (8,-6)

Answer:

57

Step-by-step explanation:

Remember when an exponent is given and says to solve for any variable, you will plug the number in the variable ( the number given for the variable ) and first solve for exponent. Then solve the rest. Hope this helps, thank you !!

Answer:

Distributive Property

Step-by-step explanation:

4*(5+3) basically equals 4*5 + 4*3 which is 20 + 12 which is 32.

Answer:

distributive

Step-by-step explanation:

i took this test

Answer:

Step-by-step explanation:

if Juanita has 52 dollars and this sum represents 20%

the bicycle costs 52*5=260 dollars

Step-by-step explanation:

there you go that is how you solve

Answer:

x=-8

Step-by-step explanation:

    Given: 2x-14=3x-6

                    +14   +14

                     -----------

                   2x=3x+8

                   -3x -3x

                  --------------

                   -1x=8

                   ---  ---

                   -1   -1

                 -------------

                  x= -8

Hope this makes sense

Answer:

I beleive  

Ordered pairs are in the form (x , y). So, my x-coordinate is 0 and my y-coordinate is 0. ... Since, -7 times 0 is equal to 0, I get 0 = 0. This is a true statement, and so (0, 0) is a solution to the equation If its incorrect I'm sorry

Step-by-step explanation:

Answer:

the answer is A -1/3 x

Step-by-step explanation:

hope this helps :)

Answer:

28% = 7/25 and 158% = 79/50

Step-by-step explanation:

To convert a percent into a fraction, you have to put the value of the percent over 100.

For 28%: 28/100

28 and 100 are both divisible by 4, so the fraction reduces to 7/25.

For 158%: 158/100

158 and 100 are both divisible by 2, so the fraction reduces to 79/50.  If you teacher doesn't want you do use improper fractions, then 79/50 can further be reduced and becomes [tex]1\frac{29}{50}[/tex].

Hope this helped!

The original price of the racket is $30

Let the original price be x

If there is 30% off the original price, then the new price will  be 0.7x

If the price of tennis racquet is now $21, hence;

0.7x = 21

Divide both sides by 0.7

0.7x/0.7 = 21/0.7

x = 21/0.7

x = $30

Hence the original price of the racket is $30

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Answer:

2460

Step-by-step explanation:

Hope this helps :)

Answer:

the awnser is 2460 have a nice day

Step-by-step explanation:

Answer:

Detailed answer in explanation.

Step-by-step explanation:

When you substitute x as 0 you'll get the y-intercept and when you do the same for y you'll get the x-intercept.

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

x-intercept(s): (12,0)

y-intercept(s): (0,−3)

[tex]y=-\frac{3}{2} x+4[/tex]

x-intercept(s): (8/3,0)

y-intercept(s): (0,4)

Now that we got these values you can plot them into the graph and start graphing the two lines. The lines will intersect at (4,-2) as shown in the graph attached.

Answer:

[tex]\frac{23x+3}{20(x+1)}[/tex]

Step-by-step explanation:

Separate the fractions into a more readable format.

Factorise the denominators of all the fractions where possible. For [tex]x^2-1[/tex] apply DOTS ==> Difference of two squares*

Simplify the fractions.

I wrote out my working so I hope that helps :>>

*Difference of two squares is a method of factorising the sum of two squares, where one of them is negative.   [tex]a^2-b^2 = (a-b)(a+b)[/tex]

Answer:

88.2

80(1+0.05)* 2

Step-by-step explanation:

The number of birds in the park in 1997 is given by the equation A = 88.2 birds

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the number of birds in 1997 be represented as A

Now , the equation will be

The number of birds in 1995 x₀ = 80 birds

The time n = 1997 - 1995 = 2 years

The percentage of increase r = 5 %

The number of birds A is calculated by exponential growth factor ,

Substituting the values in the equation , we get

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( 2 ) = 80 ( 1 + ( 5/100 ) )²

On simplifying the equation , we get

x ( 2 ) = 80 ( 1 + 0.05 )²

x ( 2 ) = 80 ( 1.05 )²

x ( 2 ) = 80 x 1.1025

x ( 2 ) = 88.2 birds

Therefore , the value of A is 88 birds

Hence , the number of birds is 88 birds

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Answer:

(-4, -8)

Step-by-step explanation:

x - 5y = 36; 2x + y = -16

first, rearrange the first equation by adding 5y to both sides to isolate x

x = 5y + 36

then plug that in for x in the second equation and solve for y:

2(5y +36) + y = -16               distribute 2 to (5y + 36)

10y + 72 + y = -16                 combine like terms by adding 10y and y

11y + 72 = -16                        subtract 72 from both sides

11y = -88                                divide both sides by 11

y = -8

next, plug y in and solve for x

x - 5(-8) = 36

x + 40 = 36                          subtract 40 from both sides

x = -4

finally, check the solution by plugging x and y into both equations to see if they equal the expected value

(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓

2(-4) + (-8) = -8 -8 = -16 = -16 ✓

Answer:

answer is C=1.68

im sorry if im incorrect

mark as brainliest if i helped you :)

Step-by-step explanation:

Answer:

97.2m/s

Step-by-step explanation:

1 km = 1,000 m

1 h = 3,600s

so

350km/h = 350*1000/3600

= 97.222 m/s

please give me brainlist if it is helpful for you

Answer:

Here you can use any!

sin x = 64/80

cos x = 48/80

tan x = 64/48

Answer:

The path of a toy rocket is defined by the relation y=-3x^2+11x+4, where x is the horizontal distance, in meters, traveled and y is the height, in metres, above the ground.

Determine the zeros of the relation.

-3x^2 + 11x + 4 = 0

---

3x^2 - 11x -4 = 0

Factor:

3x^2 - 12x + x - 4 = 0

---

3x(x-4) + x-4 = 0

---

(x-4)(3x+1) = 0

---

x = 4 or x = -1/3

============================

f(x) = -3x^2+11x+4

How far has the rocket traveled horizontally when it lands on the ground?

4 ft.

==================

What is the maximum height of the rocket above the ground, to the nearest hundredth of a meter?

---

max occurs when x = -b/2a = -11/(2*-3) = 11/6

height = f(11/6) = 14.083 ft

Answer: 73

Step-by-step explanation:

Both sides are exactly the same

Answer:

I think it is 3????

Step-by-step explanation:

I'm not sure but 36 / 12 = 3 so yea.

Hopefully this is right!

Answer:

45.

A=a+b/2  

2/h=7+11/2  

2·5=45

Answer:

132 square meters

Step-by-step explanation:

You can split the shape into two figures. They both will be parellelograms.

Area of parallelogram: A=bh

11 *6=66

66 *2= 132

Answer: 132 square meters

Answer:

A.  Yes; no value in the domain corresponds to more than one value of the range.

Step-by-step explanation:

There is no domain value that corresponds to more than one range value.

If you graph the ordered pairs on a coordinate plane, you cannot draw a vertical line that passes through more than one point.