Which of the following shows the inverse of {(2, 5), (9, -1), (4, 0), (-3, 8)}? Group of answer choices

Answer:

x = -2, y = -4, or (-2, -4).

Step-by-step explanation:

5x + y = -14

5x - 3y = 2

If we look at the first equation, we can see that y can be easily isolated.

5x + y = -14

Subtract 5x from both sides.

y = -5x - 14

Now we have a variable that we can plug into the second equation.

5x - 3y = 2

5x - 3(-5x - 14) = 2

Distribute the -3 across each term in the parentheses.

5x + 15x + 42 = 2

Combine like terms.

20x + 42 = 2

Subtract 42 from both sides.

20x = -40

Divide both sides by 20 to isolate x.

x = -2

Plug in x = -2 back into one of the equations to find y.

y = -5x - 14

y = -5(-2) - 14

Multiply.

y = 10 - 14

Subtract.

y = -4

Our solution is x = -2, y = -4, or (-2, -4).

Check your answer by plugging both values into one of the equations.

5x - 3y = 2

5(-2) - 3(-4) = 2

-10 + 12 = 2

2 = 2

Your answer is correct.

Hope this helps!

Answer:

7.7

Step-by-step explanation:

To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,

Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5  4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:

4²+6²=c²

24+36=c²

√60=c

c=7.74....

But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)

Answer:

2

Step-by-step explanation:

One of them has to be 2. Two odd numbers added together make an even number. So you have two pairs of odd prime numbers and 2 must be the last one. If it is not then the sum will be odd.

Here's an example

3 + 5 + 7 + 11 = 26 which is even. If the next prime is odd, the whole sum will be odd.

26 + 17 = 43

However if the 5th number is two, then the sum of the 5 primes will be even.

26 + 2 = 28

Answer:

5/12

5 balloons were yellow out of the 12

Answer:

$625

$2500

Step-by-step explanation:

tax = percent of tax x income

0.2 x 3125 = 625

amount remaining = income - tax

3125 - 625

Answer:

I want to say B or D please tell me if I'm right lol

Answer:

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Answer:

G

Step-by-step explanation:

Because it is an equation

Answer:

[tex]2(x - 5) ( 9x - 2)[/tex]

Step-by-step explanation:

((2•3^2x^2) -  94x) +  20

Pull like factors :

  18x^2 - 94x + 20  =   2 • (9x^2 - 47x + 10)

Factor

 9x^2 - 47x + 10

The first term is,  9x^2  its coefficient is  9.

The middle term is,  -47x  its coefficient is  -47.

The last term, "the constant", is  +10

Step-1: Multiply the coefficient of the first term by the constant   9 • 10 = 90

Step-2: Find two factors of  90  whose sum equals the coefficient of the middle term, which is   -47.

     -90    +    -1    =    -91

     -45    +    -2    =    -47

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -45  and  -2

                    9x^2 - 45x - 2x - 10

Step-4: Add up the first 2 terms, pulling out like factors :

                   9x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-5)

Step-5: Add up the four terms of step 4 :

                   (9x-2)  •  (x-5)

            Which is the desired factorization

thus the answer is

[tex]2(x - 5) ( 9x - 2)[/tex]

Answer:

Solution given:

18x²-94x+20

taking common

2(9x²-47x+10)

doing middle term factorization

90=45*2

2(9x²-45x-2x+10)

2(9x(x-5)-2(x-5))

2(9x-2)(x-5)

2(x-5)(9x-2)

Last one is a required answer.

Answer:

277.1 feets

Step-by-step explanation:

Drop height = 120 feets

Ball bounces 2/5 of previous height

Height after 1st bounce :

120 * 2/5 = 48 feets

Return distance = 48 feets

Height after second bounce :

48 * (2/5) = 19.2 feets

Return distance = 19.2 feets

Height after 3rd bounce :

19.2 * (2/5) = 7.68 feets

Return distance = 7.68 feets

Height after 4th bounce :

7.68 * (2/5) = 3.072 feets

Return distance = 3.072 feets

Height after 5th bounce :

3.072 * (2/5) = 1.2288 feets

(120 + (2*48) + (2*19.2) + (2*7.68) + (2*3.072) + 1.2288) = 277.1328

= 277.1 feets

Answer:

20

Step-by-step explanation:

Under Darius, the Persian Empire flourished. His most notable accomplishment was perfecting the system of government begun by Cyrus. The empire was divided into 20 satrapies, or provinces, each ruled over by a satrap.

Answer:

Q1 = 4

Q2 = 7

Q3 = 42. 75

Step-by-step explanation:

Given the data:

626676848497

6, 2, 66, 7, 6, 8, 4, 8, 49, 7

Arrange in ascending order :

2, 4, 6, 6, 7, 7, 8, 8, 49, 66

The lower quartile (Q) :

1/4(n+1)th term

n = number of sample = 10

1/4(11)th term

2.75 term : (2 + 6) /2 = 8/2 = 4

Median :

1/2(n+1)th term

n = number of sample = 10

1/2(11)th term

5. 5 term : (7 + 7) /2 = 14/2 = 7

Upper quartile :

3/4(n+1)th term

3/4(11)th term

8.25 th term

3 /4 (8 + 49) = 42.75

Answer:

The surface area equals 45.

Answer:

value of x = 12

value of y = 8

Answer:

40 cm

Step-by-step explanation:

Area of rectangle:

A = bh

A = 5(6)

A = 30

Area of triangle:

A = 0.5bh

A = 0.5(5)(4)

A = 2.5(4)

A = 10

Combined:

30 + 10

40

Step-by-step explanation:

Given :-

And we need to simplify the given numbers . We can use a identity in 1st Question as ,

[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]

Simplifying first :-

[tex]\implies (\sqrt3+\sqrt2)^2\\\\\implies (\sqrt3)^2+(\sqrt2)^2+2.\sqrt3.\sqrt2 \\\\\implies 3+2+2\sqrt6=\boxed{\red{5+\sqrt6 }}[/tex]

Simplifying second :-

[tex]\implies (3+2)^2\\\\\implies 5^2\\\\\implies \boxed{\red{25}}[/tex]

Answer:

look at the picture i sent........

Answer:

A . ( 1 , 2 )

Answer:

A is correct option. Thanks

Answer:

80

Step-by-step explanation:

find 2 percent of 1000 and times it by 4 the amount of years

Answer:

$1082.43

Step-by-step explanation:

You use the interest formula.

P(1+r/n)^nt

Then plug it in

1000(1+.02)^4

Which comes out to 1082.43

Hope this helps

Brainliest would be appreciated

the diameter is found by the formula πr2

Answer:

9

Step-by-step explanation:

the triangle is right angle.

at right angle it makes 90°. therefore;

(3d+1)°+(6d+8)°=90°

3d+1°+6d+8°=90°

9d+9°=90°.

9d=90°-9°

9d=81°

d=81/9

d=9°