Explain how you could use the distributive property to find how many gallons of water are pumped out of the black hole in 2 1/2 minutes

Answer:

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

Step-by-step explanation:

To find the slope of a perpendicular line, find the negative reciprocal of the slope.

The slope is 3 so the slope of the perpendicular line would be - [tex]\frac{1}{3}[/tex]

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Then use point slope form to find the equation of the perpendicular line:

y - [tex]y_{1}[/tex] = m (x -  [tex]x_{1}[/tex] )

point = (6, 2)

slope = - [tex]\frac{1}{3}[/tex]

y - 2 = - [tex]\frac{1}{3}[/tex] (x - 6)

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If you want it in slope intercept form, you can just rearrange the equation:

y = 2 - [tex]\frac{1}{3}[/tex]x +2

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

Answer:

5/14

Step-by-step explanation:

add 5 and 9 to get the denominator

Answer:

the first one is equivalent and the second one is not equivalent

Step-by-step explanation:

In the first one do the distributive property first by distributing the the -2.

[tex]3x - 4.6x - 5 = 1.6x - 5[/tex]

collect like terms on the left side

[tex] - 1.6x - 5 = - 1.6x - 5[/tex]

they are equivalent.

The second equation do the distributive property first by multiplying by -3.

[tex]5 + 4.8x + 6.3 = 4.8x - 1.3[/tex]

collect like terms on the left.

[tex]4.8x + 11.3 = 4.8x - 1.3[/tex]

not equivalent

Answer:

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

Step-by-step explanation:

4x + y = z

4x = z - y

x = 1/4z - 1/4y

Answer:

*Replace each "x" with the required numbers .

1) g (14) ; Ans;

[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]

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2) f (-8) ; Ans;

[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]

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3) j (3) ; Ans;

[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]

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4) h (4) ; Ans;

[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]

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5) f (2.8) ; Ans;

[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]

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6) j(-5) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]

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7) g(3/4); Ans;

[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]

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8) [h(6.2)]² ; Ans;

[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]

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9) j(2) + g(-3) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]

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10) h(1) - f(-10) ; Ans;

[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]

___________o____o__________

**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .

***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .

Table (1) Ans;

f(4) = –3

f(-2) = – 6

If f(x)= -3 ,then x = 4

If f(x) = 1 , then x = 3

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Table (2) Ans;

f(4) = –7

f(-2) = 1

If f(x)= -3 ,then x = 0

If f(x) = 1 , then x = - 2

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Table (3)Ans;

f(4) = 7

f(-2) = 3

If f(x)= -3 ,then x = 6

If f(x) = 1 , then x = 0

I hope I helped you^_^

Answer:

9,403,100

Step-by-step explanation:

just round it to the nearest 100

Answer:

a

Step-by-step explanation:

answer →a murder most heinous and a narrator who fights his insanity

Answer:AB = 5/2 and CD = 2/-5, perpendicperpendicular

Step-by-step explanation:

0+5 = 5

2+2=4

1+2=3

8-5=3

Answer:

345

Step-by-step explanation:

Answer:

All you need is the distance formula.  The distance betwen two points

(x1,y1) and (x2,y2) is d= sqrt((x2-x1)2 + (y2-y1)2)

plugging in the values we get:

d= sqrt((6-(-6))2 + (6-1)2)

= sqrt((6+6)2+52)

 = sqrt(144+25)

= sqrt(169)

= 13

Answer:

[tex]\sqrt{130}[/tex]

Step-by-step explanation:

6 - (-1) = 7

3 - (-6) = 9

7^2 + 9^2 = c^2

49 + 81 = c^2

c^2 = 130

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

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Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) +  N

Where if N is positive, the translation is upwards.

If N is negative, the translation is downwards.

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

The shift up of 4 units is written as:

g(x) = f(x) + 4

The shift of 2 units to the left is written as:

g(x) = f(x + 2)

These two together give:

g(x) =  f(x + 2) + 4.

This is the equation we wanted to get.

If you want to learn more, you can read:

https://brainly.com/question/24401156

Answer:The answer to your question is 3. 0

Step-by-step explanation:

Process

1.- Find the cos a

  Opposite side = 5

  Hypotenuse = 13

  Adjacent side = ?

  Adjacent side² = 13² - 5²

                          = 169 - 25

                          = 144

 Adjacent side = 12

cos a = 12/13

2.- Find the sin b

sin b = 5/13

3.- Use the formula below to find sin(a + b)

              sin (a + b) = sina cosb  + sin b cos a

- Substitution

              sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)

- Simplification

              sin (a + b) = -60/169 + 60/13

- Result

              sin(a + b) = 0                        

Step-by-step explanation:

Answer:

The answer is -21.1 degrees

Step-by-step explanation:

You get this by simply subtracting 17.5 from a negative 3.6. This will look like -3.6-17.5= x. Doing that gets you a negative 21.1. I hope this helps!

the answer is -2¹⁶

mark me as brainlist answer

g(x) cannot have an inverse because it gives the same output value for two individual input values.

In this case, g(x) is 5 when x is both 3 and -1. Hence, g(x) does not have an inverse.

Let me know if you have any questions, thanks!

Answer:

#9

given, angle BOD = 95 degree

and angle     COD = 35 degree

assume that, angle BOC = x degree

so, angle BOC + angle COD = angle BOD

or, x + 35 degree = 95 degree

so, x = 95 degree - 35 degree = 60 degree

so, angle BOC = 60 degree

#10

given, angle AOC = right angle = 90 degree

and angle    AOB = 30 degree

assume that, angle BOC = y degree

so, angle AOB + angle BOC = angle AOC

or, 30 degree + y = 90 degree

so, y = 90 degree - 30 degree = 60 degree

so, angle BOC = 60 degree

Step-by-step explanation:

Probability is defined as the likelihood or the certainty that an event is going to occur or happen.

The probability of randomly choosing a red and then a green marble is [tex]3/76[/tex].

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

In simplest fraction form = [tex]\frac{1}{4}[/tex]

We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore, the probability of randomly choosing a red and then a green marble is

P (Red) x P(Green)

= 1/4  x 3/19

= [tex]3/76[/tex]

To learn more, visit the link below:

https://brainly.com/question/22563776

Answer:

3/7=0.4285

Step-by-step explanation:

0.4285

= 0.429

Answer:

64 i[tex]n^2\\[/tex]

Step-by-step explanation:

ok so first the shape is a square which means all sides are the same length so

8*8 = 64

Have a nice day! :-)

Answer:

17

Step-by-step explanation:

(11+14÷2)−1

 (11+7)−1

    18−1

       17

Answer:

18, 38, 43, 47, 55, 88, 90

Hope that has helped

Answer:

2(w+4)

Step-by-step explanation:

2w+8

=2(w+4) -> factoring by grouping

Answer:

One thousand four hundred nine

Step-by-step explanation:

Answer:

I would advise you to simplify the question a little bit so that more people can understand and help you out!

Answer:

no of course yes its no yes

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

I added the numbers given then subtracted from the given number which left 140. The answer is the same number twice which would be 70.

Answer:

24.12+28.90

Step-by-step explanation: