Determine the range of the following graph

Answer:

69.46 km

Step-by-step explanation:

Just did on Edge 2020

The distance of the plane from its original location is 69.46 km

The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Formula of Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

According to the question

A plane flies 35 km in the direction N 30° W,

and then flies 60 km in the direction N 60° E

i.e

When we plot its figure

we will observe it will form a right angled triangle

with perpendicular = 35 km ,  Base = 60 km

and Hypotenuse = distance form original location to current location

Now,

By using the formula of Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

Hypotenuse²  = 35² + 60²

Hypotenuse² = 4825

Hypotenuse = 69.46 km

Hence, the distance of the plane from its original location is 69.46 km.

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Answer:

20 ft

Step-by-step explanation:

30 ft/ 12 inches= 2.5ft/in x 8 in= 20 ft

I hope this helps and good luck!

The line which represents the width of the room equal to 8 inches long on a blueprint, by the architect, has the size of the room 20 foot.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

On a blueprint, an architect drew a 12-inch line to represent the length of a 30-foot room.  Thus, the scale factor of foot to inch is,

[tex]k=\dfrac{30}{12}[/tex]

Let suppose the line that represents the width of the room is 8 inches long, has the size of room in foot is x. Thus,

[tex]k=\dfrac{8}{x}\\\dfrac{12}{30}=\dfrac{8}{x}\\x=\dfrac{30\times8}{12}\\x=20[/tex]

Thus, the line which represents the width of the room equal to 8 inches long on a blueprint, by the architect, has the size of the room 20 foot.

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Actually Welcome to the Concept of the Factors.

1.) x^2-3x-10 = (x-5) (x+2)

2.)x^2-3x-18 = (x-6) (x+3)

Answer:

5

Step-by-step explanation: 3x5=15

9514 1404 393

Answer:

Step-by-step explanation:

The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.

The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.

Any pair of numbers can be used that is not (14, 20) or (32, 128).

The next two terms could be 0 and 1, or they could be 14 and 32.

  2, 8, 0, 1 . . . is a sequence of no particular type

  2, 8, 14, 32 . . . is a sequence of no particular type

Answer:

Option A is the best answer

Step-by-step explanation:

Let me know if this is wrong, I believe it is correct.

Answer:

C. 200 minutes, $260

Step-by-step explanation:

The equations would look like this

Lynn = y = 1.10x + 40

Heather = y = 1.15x + 30

Now just plug in.

Lynn

260 = 1.10(200) + 40

260 = 220 + 40

260 = 260

Heather

260 = 1.15(200) + 30

260 = 230 + 30

260 = 260

Hope this helps ya! Keep smiling!

Answer:

triangular pyramid

Step-by-step explanation:

its 4 triangular shapes put them together and you get a pyramid not a rectangular, square pyramid or prism and neither a triangular prism

Answer:

The answer is B

Step-by-step explanation:

Because I calculated properly and check my answer 2 times

trust me this is the answer

pls mark me as brainliest

Answer:

B

Step-by-step explanation:

Answer:

h = 2 - 2/3t

Step-by-step explanation:

3h + 2t = 6

~Subtract 2t to both sides

3h = 6 - 2t

~Divide 3 to everything

h = 2 - 2/3t

Best of Luck!

Answer:

Theres no image but try to use the lines in the thermometer

Step-by-step explanation:

Answer:

26°D.

step-by-step-ansegdkuydfgukfh

I think positive since is rising ....

Answer:

(0,-2) and (1,1)

Step-by-step explanation:

The solution points at the intersection of what is above the orange line and belothe blue line.

(-5, 5) is only in the orange zone so X

(0,3) is on the blue line that is doted so X

(0,-2) is on the orange line that is solid so ✅

(1,1) is in the orange and blue so ✅

(3,-4) is in the blue zone only so X

Answer:

hoi

Step-by-step explanation:

We must use slope formula* to solve this.

[tex]\frac{-13 - (-10)}{3 - (-6)}\\\\\frac{-3}{9} = -\frac{1}{3}[/tex]

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

*Slope Formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

**m is the symbol for slope.

Answer:

the answer is 3.26 pounds

Answer:

37.7 pounds

Step-by-step explanation:

-Simply subtract 54 (starting weight) by 16.3 (weight at 5 months) = the amount of weight she lost.

54 - 16.3 = 37.7

Answer:

y=-3/2x-2

Step-by-step explanation:

simplify 3x+2y=6 first

-3x. -3x

2y= -3x+6

Divide by 2

y= -3/2x+3

since it's parallel you would use the same slope

slope= -3/2x

Now you need to find b (x-intercept)

point (-2,1)=(x,y) use this to plug into y=mx+b

=

(1)=-3/2(-2)+b (simplify)

1 = 3+b

-3 -3

-2= b

so put it together and get

y=-3/2x-2

Answer:

Step-by-step explanation:

Area formula

Then

Answer:

[tex] \sf p = \dfrac{i}{rt} [/tex]

Step-by-step explanation:

Solve for p:

[tex] \longrightarrow [/tex] i = prt

i = prt is equivalent to prt = i:

[tex] \longrightarrow [/tex] prt = i

Divide both sides by rt:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{prt}{rt} = \dfrac{i}{rt} [/tex]

[tex] \sf \dfrac{prt}{rt} = p: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf p = \dfrac{i}{rt} [/tex]

Answer:

x = 18/5

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

-5/6x = -3

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

36 movies.

Step-by-step explanation:

45

+

2.50

x

=

3.75

x

Here

x

=

NUMBER OF MOVIES

45

=

Annual rate

2.50

=

price of movie with annual fee

3.75

=

price of movie with no fee

Now we solve for

x

. Move

x

to one side by subtracting

2.50

x

on each side

45

=

1.25

x

We want

x

by itself, so divide

45

by each side.

45

1.25

=

x

x

=

36

The interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4

Let x represent the number of movies watched per month.

Plan A  costs $31 per month plus $1.50 per movie watched, hence:

A = 1.5x + 31

Plan B costs $35 per month plus  $0.50 per movie watched, hence:

B = 0.5x + 35

For plan A to be cheaper than plan B:

1.5x + 31 < 0.5x + 35

x < 4

But the number of movies watched must be greater than 0, hence:

0 < x < 4

Therefore, the interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4

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Answer:

3 times more

Explanation:

3/4 is 3 times larger than 1/4 of the water bottle filled

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[tex]angle \: 2 \: = angle \: 5[/tex]

[tex]3x - 20 = x + 20[/tex]

Add sides 20

[tex]3x - 20 + 20 = x + 20 + 20[/tex]

[tex]3x = x + 40[/tex]

Subtract sides x

[tex] - x + 3x = - x + x + 40[/tex]

[tex]2x = 40[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]

[tex]x = 20[/tex]

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Answer:

110.5

Step-by-step explanation:

208=13+(3-1)d

208=13+2d

-13. -13

195=2d

÷2. ÷2

97.5=d. (d means difference)

13(first term)+97.5=110.5(the answer

Answer:

36

Step-by-step explanation:

Answer:

4.1, 4.14, 4 1/5, 17/4, 4.41

Answer: y=-9/8x+7

Step-by-step explanation:

Answer:

[tex]y = \frac{ - 9}{8} x + 7[/tex]

Step-by-step explanation:

Slope intercept form is

y=mx+b

(m) is slope

(b) is y intercept

The y intercept is where ethe line crosses the y axis [vertical axis]

The line crosses at (0, 7)so our b=7, now we need slope.

The formula for slope is (y₂-y₁)/(x₂-x₁),

which is the y of the second given point minus the y of the first given point divided by the x of the second given point over the x of the 1st given point.

(-2-7)/(8-0)

-9/8 is our slope

put our (m) and (b) into the formula

y=-9/8x+7

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Definition:

A line is a one-dimensional figure, characterized by its length but no width (thickness). A line is made of a set of points which is extended in opposite directions infinitely.

A line is determined by two points in a two-dimensional plane such as the x-y plane.

The graph of a function can be represented by a line because all points on the line provide a solution to the function. Such functions are usually linear functions.

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