The distance between two points on a coordinate grid is 5 units. One of the points is at (2, -1). The x-coordinate of the other point is -2. Which is a possible value for the missing y-coordinate?

4

2

-2

0

Answer:

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Step-by-step explanation:

Given

[tex]a(d) = 5d - 3[/tex]

Solving (a): Write as inverse function

[tex]a(d) = 5d - 3[/tex]

Represent a(d) as y

[tex]y = 5d - 3[/tex]

Swap positions of d and y

[tex]d = 5y - 3[/tex]

Make y the subject

[tex]5y = d + 3[/tex]

[tex]y = \frac{d}{5} + \frac{3}{5}[/tex]

Replace y with a'(d)

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

Prove that a(d) and a'(d) are inverse functions

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]

To do this, we prove that:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Solving for [tex]a(a'(d))[/tex]

[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]

Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in  [tex]a(d) = 5d - 3[/tex]

[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]

[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]

[tex]a(a'(d)) = d + 3 - 3[/tex]

[tex]a(a'(d)) = d[/tex]

Solving for: [tex]a'(a(d))[/tex]

[tex]a'(a(d)) = a'(5d - 3)[/tex]

Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]

Add fractions

[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d}{5}[/tex]

[tex]a'(a(d)) = d[/tex]

Hence:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Answer: $2.40

Step-by-step explanation: 19.20/8

The answer you get is going to be the price per padlock.

Answer:1442.41086

Step-by-step explanation:

So first it would continue 3% higher so not 18% higher

first 3% higher 1200

So 1236

Then 3% of 1236

so 1273.08

The 3% of that to 1311.2724

The 3% of that to 1350.61057

The 3% of that to 1400.39889

The 3% of that to 1442.41086

Answer:

1251

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=1200, r=0.014, and t=3. Substitute the values into the formula and simplify.

A=1200e0.014⋅3

A=1200e0.042

A=1200(1.0428...)

A=1251.47

Therefore, after three years, the balance in the account is A≈1251.

Answer: $22,590

Step-by-step explanation: If he sold 251 tents for $90 EACH then that means 1 tent = $90 so if he were to sell all 251 tents he would have $22,590 because $90 x 251 = $22,590

Answer:

Paris

Step-by-step explanation:

In London we get

£1 = €1.14

In Paris we get

£0.86=€1

dividing both sides by 0.86 gives:

£1 = €1/0.86=€1.16 in Paris

so in Paris you get more € for the same £1

Answer:

112.67 mph

Step-by-step explanation:

Given that:

Miles driven = 169 miles

Time taken = 1 hour 30 minutes = 1.5 hours

Speed or rate = distance traveled / time taken

Speed = 169 miles / 1.5 hours

Speed = 112.6667

Hence, Mr. Munich was going with a speed of 112.67 miles per hour.

Answer:

6%

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Sandy has 15 roses, 5 daises and 10 tulips

She wants to arrange the flower in such a way that each bouquet will have the same flower in it

Therefore the greatest number of flowers that will be in each bouquet is 5 flowers this is so inorder to make each bouquet contain equal number of flowers, this means that one bouquet must not be greater than the other.

Answer:

:let x = the number

then 8x + 9 = 9x

solving, x = 9

Proof: (8 x 9) + 9 = 9 x 9; 72 + 9 = 81, and 81 = 81

Answer:

x = 4

Step-by-step explanation:

Okay so for this equation we have this:

-5(3x - 2)= - 50

because the 3x and -2 are in a parentheses that shows we have to multiply -5 we do like this:

(3x(-5) - 2(-5)) = -50

-15x + 10 = -50

Since we want to get rid of the 10 we are going to subtract 10 from both sides:

-15x + 10 = -50

       - 10    -10

Since we are actually going to add -10 to -50 its going to look more like this:

-15x = -60

Now we are going to divide -15 from -15x and -60 in order to segregate -15 from x:

-15x/-15 = -60/-15

x = 4

Now we double check our work by placing 4 where x once was:

-5(3(4) - 2)= - 50

-5(12 - 2) = -50

-60 + 10 = -50

-50 = -50

Hope this helps

Answer:

he has 2 points after the third round

Step-by-step explanation:

5-5=0

0+2=2

Answer:

D) y = 3/4x + 14

Step-by-step explanation:

The slope is 3/4 and parallel line have the same slope and the y-intercept is 14 so the point is (0, 14).

Hope this helps. Pls give brainliest.

Answer:

4b( 3+5c)

Step-by-step explanation:

12b + 20bc

We can factor out what is common to both terms

4b*3 + 4b*5c

4b( 3+5c)

Answer:

[tex]d=\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]-16(d+1)=-20[/tex] (given)

[tex]-16d-16=-20[/tex] (expand the brackets)

[tex]-16d=-4[/tex]

[tex]d=\frac{1}{4}[/tex]

Hope this helps :)

Answer:

d = 1/4

Step-by-step explanation:

- 16 (d + 1) = - 20

- 16d - 16 = - 20

- 16d = -20 + 16

- 16d = - 4

d = [tex]\frac{-4}{-16}[/tex]

d = [tex]\frac{1}{4}[/tex]

Answer:

x=10

Step-by-step explanation:

Use pythagorean theorem, a^2+b^2=c^2

24^2 + b^2 = 26^2

576 + b = 676

676-576=100

[tex]\sqrt{x} 100[/tex]=10

Answer:

x = 10

Step-by-step explanation:

Let b represent x.

Use the Pythagorean Theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

24² + b² = 26²

24² = 576

26² = 676

576 + b² = 676

Subtract 576 from both sides:

b² = 100

Square root of 100:

x = 10

I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day! :)

Answer:

18 miles

Step-by-step explanation:

0.6 *30 = 18

Step-by-step explanation:

y= 3×-6

put y = 0

0= 3x- 6

3 X = 6

X=-2

so the point is (2, 0 )

Answer:

x=11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Match the answer with the problem

Step-by-step explanation:

x interpret is (4,0) and y interpret is (0,2 ) and slope is m= -2

Answer:

she will spend 10 hours in class 40 hours studying and 20 hours working

Step-by-step explanation:

if u simply start at 1 hour of class u get to see the pattern example:

class. study. work

1 4. 2

she works twice as long as she is in class and studies 4 times longer than in class so for every hour she is in class do the math for this condition. for every class hour multiply by 4 to get her study time and then multiply her class hour by 2 to get her work hours. keep going until the total time of all activities adds to 70

Answer:

A

Step-by-step explanation:

well since it is 130 per month, the first month would be 130, then the second month would double to 260 and etc.

Answer: b

Step-by-step explanation:

Answer:

The answers are option b and option e

Answer:

oi bruv

Step-by-step explanation:

Answer:

3 /10

Decimal Form:

0.3

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

I took the quiz

Answer: = 1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

x + 4 ÷ -2 = -1

x + -2 = -1

x = 1

Answer: Check Explanation

Step-by-step explanation:

The current area is 12x4 which is 48yards^2. 60 percent of that is 48x0.4=19.2. Now you can just put some random numbers that when multiplied = 19.2. For ex. 2 and 9.6, 4 and 4.8.