A hot air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate.
Which table shows the relationship between the time in seconds, x , and the height of the balloon in feet, y?​

Answer:

[tex] 5x + 12y = -78 [/tex]

or

[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]

Step-by-step explanation:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - (-4) = \dfrac{-9 - (-4)}{6 - (-6)}(x - (-6)) [/tex]

[tex] y + 4 = \dfrac{-9 + 4}{6 + 6}(x + 6) [/tex]

[tex] y + 4 = \dfrac{-5}{12}(x + 6) [/tex]

[tex] 12y + 48 = -5x - 30 [/tex]

[tex] 5x + 12y = -78 [/tex]

[tex] 12y = -5x - 78 [/tex]

[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]

Answer:

[tex] 5x + 12y = -78 [/tex]

or

[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]

Answer:

The second option

Step-by-step explanation:

There can NOT be a function when one x-value coordinate corresponds to multiple x-values. -5 is corresponding with two different y-values, -2 and 2.

Answer:

Hello! your answer should be 2 :)

Step-by-step explanation:

the simpliest way to look at multipicaton is just complex addition, so, for example, 10x3 is the same as 10+10+10. so for your question, we'll just add 6 to itself until we get to twelve! 6x1=6, 6x2=12, nice and simple, there's your answer! :)

She need to multiply by 2 next.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

Alex wants to multiply the number with 12.

She multiples by 6 first.

So, we need to focus on that what can be multiply by 6 to get 12 or what will be the quotient dividing 12 by 6.

Both of the above will tell us what will be next number.

So,

6*2=12

or, 12/6=2

In both situation we get 2.

Hence, she need to multiply by 2 next.

Learn more about number system here:

https://brainly.com/question/21751836

#SPJ2

Answer:

9π

Step-by-step explanation:

Area of Circle: πr²

Diameter = radius * 2

Diameter = 3 * 2 = 6

Plug into the formula πr²

(3)²π ≈ 28.274 or 9π

Answer:

19.) r = -4    20.) r = 1

Step-by-step explanation:

19.) Because we know the slope and have some points, we can use point-slope form to find the equation.

Point-slope form is:

y - y1 = m(x - x1)

Substitute the numbers into the equation:

y - 3 = 7/6(x - 1)

y - 3 = 7/6x -7/6

y = 7/6x + 11/6

Now that we know the equation, we can put in the x value to find the y (In this case, y = r):

r = 7/6(-5) + 11/6

r = -35/6 + 11/6

r = -4

20.) Because the slope is undefined, that means on the graph, the line will appear straight and vertical. This means the equation will be something like x = a number.

We have the point (1,4). Since we know that the x value will never change, we know that r will have to equal 1 as well.

r = 1

Answer:

The zeros of the function are x = 4/3 or x = -2

Step-by-step explanation:

To find the zeros of the function, we set f(x) to zero

Thus;

(3x-4)(x + 2) = 0

3x - 4 = 0

or x + 2 = 0

3x = 4 or x = -2

x = 4/3 or x = -2

Answer:

The value of b when a is 22 is 79 1/5

Step-by-step explanation:

a varies directly as b

Let k be the constant of proportionality;

then;

a = kb

5 = k * 18

k = 5/18

Finding the value of b, when a is 22

22 = 5/18 * b

5b = 18 * 22

b = (18 * 22)/5 = 79 1/5

Answer: Daughter = 13,   Man = 45

Step-by-step explanation:

                     Today           5 yrs ago          3 years hence (future)

Man                    x                  x - 5                     x + 3

Daughter           y                  y - 5                      y + 3

5 years ago a man's age was 5 times the age of his daughter's

EQ1:  x - 5 = 5(y - 5)    →     x - 5 = 5y - 25        →      x - 5y = -20

3 years hence, twice the man's age will be equal to 6 times his daughter's age.

EQ2: 2(x + 3) = 6(y + 3)     →    2x + 6 = 6y + 18      →     2x - 6y = 12

Solve the system of equations using the Elimination method:

EQ1:  x - 5y = -20  →  -2(x - 5y = -20)   →   -2x + 10y = 40

EQ2: 2x - 6y = 12  →    1(2x - 6y = 12)   →    2x -  6y = 12  

                                                                             4y =  52

                                                                           ÷4     ÷4  

                                                                              y =  13

Substitute y = 13 into either equation to solve for x:

EQ1: x - 5y = -20

       x         = 5y - 20

       x         = 5(13) - 20

       x         =  65   - 20

              x = 45

Answer:

i think the answer would be Brayden

Step-by-step explanation:

Answer:

The other integer is -25

Answer:

Step-by-step explanation:

Just times the -5/1 by 3 on both sides and then

add both of the fraction numbers so you can get =

-20/3 in improper fraction or -18 2/3 in mixed number form

or the decimal = −6.66666666667 I hope this helps you, have a great day!

Hope this helps! <3

Answer:

~370

Step-by-step explanation:

Columbus = 892,533

US = ~328,200,000

892,533x100=89,253,300

89,253,300x3.5=312,386,550

892,533x20=17,850,660

89,253,300+312,386,550+17,850,660=~328,200,000

100x3.5=350

350+20=370

Answer:

x = 16

Step-by-step explanation:

Since we are looking at 2 vertical angles you would start with:

5x - 2 = 78

    +2    +2

-------------------

5x = 80

x = 16

I hope this helps you! :)

Answer:

La respuesta es x=2/3

Step-by-step explanation:

Remplasa Y por un 0. Y luego conviertelo en -3x=2. A ultimo divide lod dos adas por -3. Tu respuesta es x=2/3

Answer:

C

Step-by-step explanation:

Because if she wants to fill 90 balloons 100 is 30 so multiply by 30×3 and u get 90

Answer: 300

Step-by-step explanation:

i took the test and got it right

Answer:

Uh, what is the square made out of? A square tile, then, sure, I guess.

Answer:

D

Step-by-step explanation:

x 0,4,8,12

f(x)‒1,7,15,23

we can prove as the following

f(x)=2x‒1

‒1=2(0)‒1

‒1=0‒1

‒1=‒1

f(x)=2x‒1

7=2(4)‒1

7=8‒1

7=7

f(x)=2x‒1

15=2(8)‒1

15=16‒1

15=15

f(x)=2x‒1

23=2(12)‒1

23=24‒1

23=23

i wish it helps you

Answer:

100% d

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

Step-by-step explanation: the slope would be 1 and the y intercept would be 4.

Answer:

rotational symmetry only

Answer:

1.25

Step-by-step explanation:

because you do 12.5 and divide by 10 and it equals 1.25

Answer:

Given: measure 1 + measure 2 = measure 4

measure 4 + measure 3 must be 180 degrees because they are supplementary

If measure 4 + measure 3 is 180, and measure 1 + measure 2 = measure 4, we can substitute measure 4 in the first equation for measure 1 + measure 2.

Therefore, we arrive at the answer measure 1 + measure 2 + measure 3 = 180.

I really hoped this helped, and if it did, please consider giving me brainliest.

Answer:

542.369

Step-by-step explanation:

Its the steps of writing it this is super easy also you can do the math to check if you want

Step-by-step explanation:

Hey there!

The sides of a square; 3cm.

Area = l^2

[tex]area = {3}^{2} [/tex]

[tex]a = 9[/tex]

Therefore, the area is 9cm^2.

Hope it helps...

Answer:

22

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

The points I will be using are (-3, 6) and (0,0).

To find the slope, you sub these points into the slope formula - rise over run.

Answer:

The slope is -2

Step-by-step explanation:

to get from (0,0) to (-3,6) you rise 6 and go left 3. Then 6÷-3= -2.