A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?

This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.

In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

We are given the equation;

|2x + 9| + 7 = 3

Now when dealing with absolute values, it means that the solution is either positive or negative.

For example;

|x| = 5 means that x = +5 or -5

Thus in this question, let us first of all simplify the equation to get;

|2x + 9| = 3 - 7

|2x + 9| = -4

From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

Thus, the friend is not correct.

Read more here; brainly.com/question/12928519

Answer: -16d³ + 3d² - 3d + 2

Step-by-step explanation:

Given expression

(4d - 6d³ + 3d²) - (10d³ + 7d - 2)

Expand parentheses

(REMEMBER to change [+, -] signs when there is a [-] sign in before)

=4d - 6d³ + 3d² - 10d³ - 7d + 2

Put like terms together

=-6d³ - 10d³ + 3d² + 4d - 7d + 2

Combine like terms

=(-6d³ - 10d³) + 3d² + (4d - 7d) + 2

=[tex]\boxed{-16d^3+3d^2-3d+2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

-16d³ + 3d² -3d + 2

Step-by-step explanation:

(4d−6d³+3d²) − (10d³+7d−2) =

-6d³ - 10d³ + 3d² + 4d - 7d + 2 =

-16d³ + 3d² -3d + 2

Answer:

√-7

Step-by-step explanation:

√(3² - 4²)

=> √(9 - 16)

=> √-7

Answer:

2/11

Step-by-step explanation:

This will not always work!!! But i divided 8 by 4 and got 2. I used my calculator and got the same exact answer

Hope this helps.

Answer:

The answer is {1,2}

Step-by-step explanation:

{1,2,3,4}-{3,4,5,6}

{1,2}

Answer:

d) 1/5

Step-by-step explanation:

5(x + 1) - 8 = 5x(2-4)

5x+5-8 = 5x(-2)

5x-3=-10x

15x = 3

x = 1/5

Answer:

Step-by-step explanation:

5(x + 1) - 8 = 5x(2-4)

=> 5x + 5 - 8 = 10x - 20x

=> 5x + 20x - 10x = 8 - 5

=> 15x = 3

[tex] = > x = \frac{3}{15} [/tex]

=> x = 1/5 (option d) (Ans)

Answer:

56.6

Step-by-step explanation:

if SQ are 80 just subtract 33.4 from 80 to get 56.6 is RS

Answer:

k=57

Step-by-step explanation:

-k+15=k-99(vertically opposite angles)

k=57

Opposite angles are equal

[tex]\\ \rm\longmapsto -k+15=k-99[/tex]

[tex]\\ \rm\longmapsto -k-k=-99-15[/tex]

[tex]\\ \rm\longmapsto -2k=-114[/tex]

[tex]\\ \rm\longmapsto 2k=114[/tex]

[tex]\\ \rm\longmapsto k=\dfrac{114}{2}[/tex]

[tex]\\ \rm\longmapsto k=57[/tex]

Answer:

1st- thorn forest - forest which have many thorns it is in rajasthan

2nd- evergreen forest - a forest whose trees are rest green in any season

3rd- Amazon forest - in Amazon forests there are many poisonous snake, frogs etc. like anacondas and wild animals.

Step-by-step explanation:

Answer: It mentions how they  fear the authority government, also I believe u meant "Power of fear"

Step-by-step explanation:

Answer:

30 is the nearest tenth of 26

Answer:

I don't understand this

Answer:

(6, 8 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates by the scale factor 2, that is

(3, 4 ) → (2(3) , 2(4) ) → (6, 8 )

Answer:

The first of the 3 numbers is 11.

Step-by-step explanation:

Well all three would be 11,12,13 because 11+12+13=36. First number is 11

Answer:

1400m^2

Step-by-step explanation:

Let the breadth of the garden be a, therefore the length of the garden is (a+5).

The perimeter of the garden is the sum of all its sides, therefore:

Perimeter = a + a + (a+5) + (a+5) = 150

Simplifying the LHS of the equation:

4a +10 = 150

Subtracting 10 from both sides of the equation:

4a = 140

Dividing both sides by 4:

a = 35 = breadth

Therefore the length of the garden = (a + 5) = 40

Recall that the area of the garden is its length multiplied by its breadth, therefore:

Area = 35*40 = 1400

Answer:

area=1400

Step-by-step explanation:

length(l)=x+5

breadth(b)=x

Perimeter=2(l+b)

      150    =2(x+5+x)

         150 =2x+10+2x

    150-10=4x

       140=4x

         x=35          

therefore breadth=35

                 length=40

area=l*b

      =35*40

     =1400

a) c + y = 10 + 11 = 21

b) q + b + r = -14 + (-7) + (-13) =

= -(14 + 7 + 13) = -34

c) 8x + 3z = 8 · 9 + 3 · 4 = 72 + 12 = 84

d) 6a + 5b = 6 · (-1) + 5 · (-3) = -6 - 15 = -21

e) -9y + 2z = -9 · (-5) + 2 · (-7) = 45 - 14 = 31

f) -3t + 4y + s = -3 · 8 + 4 · (-2) + (-2) =

= -24 - 8 - 2 = -(24 + 8 + 2) = -34

g) y² + c = 4² + 7 = 4 · 4 + 7 = 16 + 7 = 23

h) a² + x = (-10)² + (-8) = 100 - 8 = 92

i) b + 2y² = 2 + 2 · 6² = 2 + 2 · 36 =

= 2 + 72 = 74

j) 3y² - 3z = 3 · 6² - 3 · (-7) = 3 · 36 + 21 =

= 108 + 21 = 129

Here are the formulas

[tex]\boxed{\sf Volume_{(Cylinder)}=\pi r^2h}[/tex]

[tex]\boxed{\sf Volume_{(Cone)}=\dfrac{1}{3}\pi r^2h}[/tex]

[tex]\boxed{\sf Volume_{(Sphere)}=\dfrac{4}{3}\pi r^3}[/tex]

Answer:

The volume for a cylinder is πr2h, for a cone 1/3hπr², and for a sphere is 4/3πr³

Step-by-step explanation:

I hope this will help you

it will take her 34 mins coz I said so innit

Answer:

- 11

Step-by-step explanation:

let the number be n , then

n + 5 = - 6 ( subtract 5 from both sides )

n = - 11

The number is - 11

Answer: -11

Step-by-step explanation:

Let x be the number

Set equation

x + 5 = -6

Subtract 5 on both sides

x + 5 = -6 - 5

[tex]\boxed{x=-11}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y= 6x - 30

Step-by-step explanation:

First yu would take the 30 dollars you spent then you will subtract 6 times  how many cars you have done.

Answer:

they spend the time for swimming is 11/4 ✖ 2 =22/4

that's means in hours =5 hours 30 minutes

Answer:

x = 4

Step-by-step explanation:

[tex]-5(x-1)-x+1=-18\\\\-5x+5-x+1=-18\\\\-6x+6=-18\\\\-6x=-24\\\\x=4[/tex]

Answer:

x = 4

Step-by-step explanation:

-5 ( x - 1 ) -x +1 = -18

solve the brackets first

-5x + 5 - x + 1 = -18

-5x -x +5 +1 = -18

-6x + 6 = -18

-6x  = -18 - 6

-6x = -24

x = -24 / -6

x = 4

Answer:

i think its Quadrant 3, since their both negatives

Answer:

[tex] k = \dfrac{5}{3} [/tex]

Step-by-step explanation:

It is actually a one-step equation.

If you have a number multiplying a variable equaling another number, then you need to do only one operation to solve; you need to multiply both sides by the reciprocal of the number multiplying the variable.

Here we have

[tex] \dfrac{3}{2} = \dfrac{9}{10}k [/tex]

First, switch sides to have the variable, k, on the left side.

[tex] \dfrac{9}{10}k = \dfrac{3}{2} [/tex]

You have a variable, k, multiplied by a number, the fraction 9/10, equaling another number, 3/2. To solve for k, multiply both sides by the reciprocal of 9/10 which is 10/9.

[tex] \dfrac{10}{9} \times \dfrac{9}{10}k = \dfrac{10}{9} \times \dfrac{3}{2} [/tex]

On the left side, you have the product of two reciprocals, 10/9 and 9/10, which equals 1, leaving just k.

On the right side, you must multiply the fraction 10/9 by 3/2 and then reduce.

[tex] k = \dfrac{30}{18} [/tex]

[tex] k = \dfrac{5}{3} [/tex]

Answer:

Surface area=48 in^2

See the image for solution