A ferry transports passengers to three different ports. From port 1, the ferry travels east 3.5 miles to port 2. The ship
then heads 15 east of south for 6 miles to reach port 3. What is the distance from port 3 to port 1? Draw a diagram to
help you. Approximate to the nearest tenth of a mile.
miles

Answer:

10

Step-by-step explanation:

Begin with x3 + y3 = 4 . Differentiate both sides of the equation, getting

D ( x3 + y3 ) = D ( 4 ) ,

D ( x3 ) + D ( y3 ) = D ( 4 ) ,

(Remember to use the chain rule on D ( y3 ) .)

3x2 + 3y2 y' = 0 ,

so that (Now solve for y' .)

3y2 y' = - 3x2 ,

.

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

so

x = (2 1/4) * (3 3/5) / (1 1/2)

Answer:

y = - [tex]\frac{63}{4}[/tex] or - 15.75

Step-by-step explanation:

Order of operations.

y + [tex]\frac{9}{2}[/tex] = y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Subtract y from each side.

y - y + [tex]\frac{9}{2}[/tex] = y - y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] =  - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]   Add [tex]\frac{3}{4}[/tex] to each side

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]    Find the common denominator for [tex]\frac{9}{2}[/tex] and [tex]\frac{3}{4}[/tex], which is 4

[tex]\frac{9}{2}[/tex] * [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{18}{4}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{21}{4}[/tex] = - [tex]\frac{y}{3}[/tex]   Multiply each side by 3

[tex]\frac{21}{4}[/tex]  * 3 = - [tex]\frac{y}{3}[/tex] * 3

[tex]\frac{63}{4}[/tex] = - y      Divide each side by -1

y = - [tex]\frac{63}{4}[/tex] = - 15 [tex]\frac{3}{4}[/tex]

y = - 15.75

Step-by-step explanation:

There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.

===============

Answer:

-7 & 9

Step-by-step explanation:

(-7) + 9 = 2

(-7) - 9 = -16

x + y = 2

x - y = -16

Add the equations together to eliminate one of the variables.

2x = -14

Divide both sides by 2

x = -7

Let's plug -7 into x for our first equation.

-7 + y = 2

Add 7 to both sides.

y = 9

Answer:

4x

Step-by-step explanation:

P = S + S + S

P = x + x + 3 + 2x - 3

P = 4x

Answer:

um

Step-by-step explanation:

9x10^7

10x10=100x10=1,000

1,000x10=10,000

10,000x10=100,000

100,000x10=1,000,000

1,000,000x10=10,000,000

10,000,000x9=90,000,000

3x10^3

10x10=100x10=1,000

1,000x3=3,000

90,000,000/3,000=30,000

So 9x10^7 is 30,000x larger than 3x10^3

hope it helps!

9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

The number of times a number has been multiplied by itself is referred to as an exponent.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Given:

9x [tex]10^7[/tex]

The number [tex]10^7[/tex] can be expanded as

[tex]10^7\\[/tex] = 10,000,000

and, 9x [tex]10^7[/tex] = 9 x 10,000,000

                   = 90,000,000

The number [tex]10^3[/tex] can be expanded as

[tex]10^3[/tex] = 1000

and, 3 x 10³ = 3 x 1000

                   = 3000

Then, 90,000,000/3,000

      =30,000

Hence, 9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

Learn more about Exponents here:

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Answer:

+ 7 or - 7

Step-by-step explanation:

x^2 = 49

x = (49)^1/2     (1/2 means nothing but square root)

x = + or - 7

I said this answer because you square 7 and -7 and still get 49

Answer:

-8x + 16

Step-by-step explanation:

This is called expanding brackets in algebra

1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside      

-4 x 2x = 8x

-4 x -4 = 16

Answer:

136 + 129= 265

Step-by-step explanation:

when you're finding the difference and one number is positive and the other is a negative number you will add the negative instead of add them together so you would 129 to 136 which would equal 265. this rule applies to the opposite too. if both numbers are positive, then you would subtract them.

Answer:

67,900

Step-by-step explanation:

Move the decimal place 4 spaces to the right.

Answer:

it is for sure 67,900 :)

Step-by-step explanation:

Answer:

m=3/2

y-1=3/2(x-4)

y-1=3/2 x-6

y=3/2 x -5

Step-by-step explanation:

slope of tangent line is equal to slope of line that parallel

Answer:

620

Step-by-step explanation:

95% × 620 =

(95 ÷ 100) × 620 =

(95 × 620) ÷ 100 =

58,900 ÷ 100 =

589;

Answer:5

Step-by-step explanation:

w(n)=4-1

=5

Answer:

The answer is 10/3 or 3 1/3

Step-by-step explanation:

Hope this helps

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___.

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Step 2

Solve the addition equation

= 3.1 + 0.6

= 3.7

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___...........

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Answer:

Rotation of 90° (x, y) → ( ‐ y,  x )

Rotation of 180° (x, y) → ( ‐ x,  ‐ y )

Rotation of 270° (x, y) → ( y,  ‐ x )

idk 360...

Answer:

4.0503

Step-by-step explanation:

Answer:

4/1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because if you go from one point to the next, it is 4 up and 1 across, therefore 4/1, or 4 :)

Answer:

1- r=.5

2- x=.5

Step-by-step explanation:

sorry my handwriting is bad

Answer:

Step-by-step explanation:

15 boys  + 12 girls = 27 students

15:27 = 5:9

First, add to find total number of students.

15 + 12 = 27

Second, create the new ratio.

15 to 27

Best of Luck!

Answer:

154.98

Step-by-step explanation:

Answer:

155(estimated to 3 s.f)   154.98(exact value)

Step-by-step explanation:

Very nice question bro

Answer: 30

Step-by-step explanation:

*Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ..., 30

* Multiples of 6: 6, 12, 18, 24, 30

* Multiples of 15: 15, 30

Answer:

the shaded area= s²-2πr²

Step-by-step explanation:

you have 2 circles

Area of circle=πr²

2 circles=πr²+πr²=2πr²

the area of square=s*s=s²

the shaded area= s²-2πr²

Answer:

the answer is x=7 and x=-7

Step-by-step explanation:

Answer:

y=(7/5)x + 34/5

Step-by-step explanation:

All straight lines generally follow the equation format of: y=mx+c

Where m is the slope/gradient of the line, and c is a constant, the y-intercept, the y value when x=0.

To start, we need to find the slope, which we do by dividing the rise of the line by the run, that is the difference between the y value of two points divided by the different between the x value of two points.

We can use the two given points on the graph: (-7,-3) and (-2,4).

The rise is 7 because 4-(-3)=7, and the run is 5 because -2-(-7)=5.

Therefore the slope is 7/5.

so our equation so far is:

y=(7/5)x + c, (It is positive because the line is 'going upwards'.)

Now to find the c, we can just substitute in a pair of coordinates, we can use (-2,4):

4= (7/5)(-2) + c

4 = -14/5 + c

4 + 14/5 = c

c= 34/5

Therefore our full equation is:

y=(7/5)x + 34/5

Hope this helped!

Answer:

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Step-by-step explanation:

I just did the quiz but basically you can switch the coordinates around to view the coordinates of the inverse function. If there are x values that are the same number, it does not pass the line test making it not a function with an inverse function.

The function has an inverse that is also a function will be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).

A certain kind of relationship called a function binds inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

In other words, the function is a relationship between variables and the nature of the relationship.

In the given question

We know that a function is only a function such that there is a unique value of y corresponding to x.

An inverse function will only be a function if the function which is going to be inverse is a function.

In option (A) all value of x corresponding to y are different but in  all remaining options the values are repeating hence that will be not a function since only (A) has to inverse

For more about the function

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Answer: a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

Step-by-step explanation:

Answer:

The cube has nine symmetry planes. Three planes lie parallel to the side squares and go through the centre (picture). Six planes go through opposite edges and two body diagonals. They divide the cube into prisms

Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.

[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]

[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]

[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]

[tex]f(k-1)=5k^2-6k-4[/tex]

Hope this helps.

頑張って!

f(k-1) = 5k² - 4k - 4

The given function is:

f(x) = 5x² + 4x - 5

To find f(k-1), substitute x = k-1 into f(x)

f(k-1) = 5(k-1)² + 4(k-1) - 5

f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5

f(k -1) = 5k² - 10k + 5 + 4k -9²

Collect like terms

f(k-1) = 5k² - 10k + 5k + 5 - 9

Simplify

f(k-1) = 5k² - 4k - 4

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