Based on the graph, what is the initial value of the linear relationship? (4 points)
6-
5-
2-
-5
3
2
3
4 5
-4
-3

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

Answer:

Ac is hypotenuse as c=90

Answer:

6

Step-by-step explanation:

let us call dc x

root(16+x2) =ac

root(25+x2)=bc

using the pytogoren theroum for traingle ABC we get

41+2x2=9 squared

41+2x2=81

2x2=40

x2=20

x=2 root 5

so then plugging the values in

you know ac=root(16+x2)

=root(36)

=6

Answer:

3 hours

Step-by-step explanation:

Because first 3 friends have water that last 6 hours when you double the amount of people you get less water, I don't speak good English to explain but you have to subtract 3 from 6 because 3 is amount of people that need water that lasts 6 hours and when you have more people you get less water sooooo you subtract 3 from 6.

Hope you understand!

Answer:

Surface Area = 157 in^2

Step-by-step explanation:

Surface area is the area of each side added together.

Front = Trapezoid =  b1 + b2 * h           5 + 9  *  5   = 27.5              

                                        2                        2                              

Back = Trapezoid =  b1 + b2 * h           5 + 9  *  5   = 27.5               27.5

                                        2                        2                                        27.5

Right = Rectangle = l * w                      6.4 * 5 =  32                           32

Left = Rectangle = l * w                           5 * 5 =  25                           25

Bottom = Rectangle = l * w                     9 * 5 =  45                           45

Top = Rectangle = l * w                          5 * 5 =  25                           25    

                                                                                                             157 in^2

Answer:

x=-1

Step-by-step explanation:

thanks I'm done pls

Answer: 1,-4

Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.

-4x+x=x-5+-x

combine:

-5x/5=-5/-5

x=1

Substitute:

y=-4x(1)

y=-4

so we get 1,-4

Answer:

еиниемксцчуиетнмкчеимусцсуиеи

Answer:

The circumference of the following circle is 9π (around 28.274)

Step-by-step explanation:

The circumference can be found by using the following formula, where d is the diameter of the circle...

dπ = 9π ≈ 28.274

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so

Answer:

good luck with this, i have got a good mark in this lesson back then and i would gladly like to help you miss gilr

Step-by-step explanation:

Option D is representing the inequality 2(x - 3) - 5x < x-2​ on the number line.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the inequality is 2(x - 3) - 5x < x-2​. The inequality will be solved as,

2(x - 3) - 5x < x-2​

2x - 6 - 5x < x - 2

-3x - 6 < x - 2

-3x - x < 6 - 2

-4x < 4

x > -1

The number line of the inequality is attached with the answer below.

To know more about number lines follow

https://brainly.com/question/28516910

#SPJ2

Answer:

I dont know

Step-by-step explanation:

only doing it for points

The sum of supplementary angles is 180°.

=> < F+<S=180°

Given: <S=99°

•

•• <F+99°= 180°

<F= 180°-99°

<F= 81°

Answer:

Angle X is 122°

Step-by-step explanation:

Because it's a 180° line (supplementary angle thm):

180°-58°=122°

Answer:

y = 62  

x = 122

Step-by-step explanation:

58 + 60 = 118

118 - 180 = y

118 - 180 = 62

y = 62

x = 180 - 58 = 122

Answer:

None

Step-by-step explanation:

This type of equation is a tautology, it will always be true

We want to see how many solutions does the given equation has.

We will see that the equation has infinite solutions.

The given equation is:

2(x + 4) = 2x + 8

To find how many solutions it has, we need to solve it, we first can distribute the product at the left to get:

2(x + 4) = 2x + 8

2x + 2*4 = 2x + 8

2x + 8 = 2x + 8

Note that we have the exact same thing in both sides, so the value of x can be any real number, and the equation will still be true.

This means that there are infinite solutions for the given equation.

If you want to learn more, you can read:

https://brainly.com/question/16797952

Answer:

Step-by-step explanation:

Remark

You can do this with just 1 unknown.

John = x

Tom = 2x

Solution

x + 2x = 27               Combine the left

3x = 27                     Divide by 3

3x/3 = 27/3

x = 9

Conclusion

John invited 9

Tom invited 18

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Answer:

12n+5

Step-by-step explanation:

The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17

Answer: b = 3

Step-by-step explanation:

1. a^2 + b^2 = c^2

2. 1.6^2 + b^2 = 3.4^2

3. 2.56 + b^2 = 11.56

4. 11.56-2.56 = b^2

5. 9 = b^2

6. 3 = b

2 Answers. It is certainly possible (in mostly silly cases). For example, suppose you sample the same x value twice and get two experimental y values that differ. One such case might be getting the points (0,−1) and (0,1) if we sample x=0 twice.

Answer:

yes because for data you need more than one line.

Step-by-step explanation:

Answer:

10.2°

Step-by-step explanation:

I'm not sure if my answer is correct and I'm not too good at explaining but I'll try.

The height of the triangle would be 199 ft and it's length would be 1104 ft. Since were looking for the angle of depression, the angle would obviously be outside of our triangle (as shown in the picture). The height and length wouldn't change at all so we can just label the imaginary lines with their corresponding measurements.

The angle that we're looking for is marked in the picture. Since we are given the opposite and the adjacent side, we can use the inverse of tan to figure out our angle, which is 10.2°.

You can also use the "Z" rule and our angle would be where it's shown in the third picture. Nothing would change because our opposite side would still be 199 ft and our adjacent side would still be 1104 ft.

Answer:

D. y=2.50x

Step-by-step explanation:

Since the equation asks for the total cost of a vase of flowers (y) that goes on the left side. Each flower costs 2.50 and the flower shop depends on the number of flowers ordered, which makes it a variable. Therefore C is wrong because it has 2.50 as a constant.

The ending equation will be y = 2.50x

Written in context this means that the total cost of a vase of flowers is equal to the cost of each flower (2.50) by how many flowers are ordered.

I hope this helps!!

- Kay :)

Answer:

i tjink its obtuse im not quite sure though im so sorty if its wrong.

Answer:

Volume is 285

Step-by-step explanation:

We start by calculating the area of the base

Mathematically, we have a rectangle as the base

So, the area of the base will be;

3.75 * 8 = 30

We now multiply this by the height to get the volume

we have this as:

30 * 9.5 = 285

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

Answer:

167

Step-by-step explanation:

Its simple

Answer:

it's 324

Step-by-step explanation:

divide 72 by 4 to get one side, then multiply the side by itself, 18 times 18

first question: Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

Second question: The goal of $3050 fell by $710