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Answer:

A general line can be written as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

if we know that the line passes through the points (x1, y1) and (x2, y2), the slope will be:

a = (y2 - y1)/(x2 - x1)

In this case, we can see that the line passes through the points (0,0) and (4,2) then the slope will be:

a = (2 - 0)/(4 - 0) = 2

Then the equation is:

y = 2*x + b

And because we have the point (0, 0), we know that the y-intercept is equal to zero, then the equation is:

y = 2*x

This means that Pablo does 2 revolutions per feet, and we already found that the slope of the equation is 2.

Answer:

A) 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (6, 7)

Point (5, 1)

Step 2: Find slope m

Answer:

[tex]m=\frac{-5}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 14)

Point (7, 9)

Step 2: Find slope m

Answer:

5,598 cans are required to empty the vessel

Step-by-step explanation:

The volume of a cylinder of radius r and height h is:

[tex]V = \pi r^2h[/tex]

The volume of a box of dimensions X, Y, and Z is:

V=X.Y.Z

A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:

[tex]V_1 = \pi 1.4^2*1.5[/tex]

[tex]V_1=9.236\ m^3[/tex]

Converting to cubic cm:

[tex]V_1=9.236*1,000,000\ cm^3[/tex]

[tex]V_1=9,236,282\ cm^3[/tex]

The volume of each rectangular tin can is:

[tex]V_2=33*10*5=1,650\ cm^3[/tex]

[tex]V_2=1,650\ cm^3[/tex]

The number of cans required to empty the vessel is:

[tex]V_1/V_2=9,236,282/1,650 = 5,598[/tex]

5,598 cans are required to empty the vessel

Keenan hiked 15 times as far as Margot. How far did Keenan hike? the total number of miles be m

The Keenan hike is measured in m is [tex]\frac{15m}{16}[/tex]miles.

The given parameters;

Keenan and Margot hiked m miles altogether.

Let the distance Margot hiked = n

Then, the distance Keenan hiked = 15n

The combined distance both hiked: m = n + 15n

Calculating Margot's hiked distance in terms of m is as follows:

m = n + 15n

m = 16n

n=[tex]\frac{m}{16}[/tex]

The calculation for Keenan's hike in terms of miles is

= 15(n)

=15[tex]\frac{m}{16}[/tex]

=[tex]\frac{15m}{16}[/tex]

Thus, the  distance hiked by Keenan in terms of m is [tex]\frac{15m}{16}[/tex]miles.

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Answer:

A line that is perpendicular to the x-axis is a vertical like with a slope equal to infinity. A line parallel to it would have the same slope and will also be a vertical line perpendicular to the x-axis. As the line passes through the point (2, -1) its equation is x = 2.

Step-by-step explanation:

please give brianliest

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Step-by-step explanation:

I hope that help's SORRY!!

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

[tex]m∠ADB = \frac{1}{2} m∠ADC [/tex]

⟹[tex]8x - 3 = \frac{1}{2} \times 74[/tex]

[tex]8x - 3 = 37 ⟹8x = 37 + 3[/tex]

Divide both sides by 8 to find the value of x

[tex]x = \frac{40}{8} [/tex]

Therefore:

[tex]x = 5[/tex]

Answer:the answer is 330 with that makes 11 presents

Step-by-step explanation:

because she spent 1200-870 on your brother subtract the 1200-870 it makes 330 so you can subtract 330-30 each will give 11 presents

Answer:

Step-by-step explanation:

-21x - 8y = 0

Answer:

c

Step-by-step explanation:

this is the closer to the number 7 on a number line

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

Answer:

b) [tex]\sqrt{10\\}[/tex]

Step-by-step explanation:

use law of sines to find all the sides and angles

Answer:

α = 164.5387822595581°

Step-by-step explanation:

Calculate dot product:

a · b = ax · bx + ay · by = 5 · (-7) + (-4) · 3 = - 35 - 12 = -47

Calculate magnitude of a vector:

|a| = ax2 + ay2 = 52 + (-4)2 = 25 + 16 = 41

|b| = bx2 + by2 = (-7)2 + 32 = 49 + 9 = 58

Calculate angle between vectors:

cos α =   a · b

|a|·|b|

cos α =   -47

41 · 58

 = -  47

2378

√2378 ≈ -0.9638111202541978

α = 164.5387822595581°

Answer/Step-by-step explanation:

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

Answer:

1. Lin

2. 3 weeks

Step-by-step explanation:

Lin has more money in his account, and after 3 weeks Han and Lin will have the same amount of money in their lunch accounts.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Han starts with $100 in his account. He spends $15 each week on lunches.

Lin starts with $25 in her account and does not spend any of it. Her family adds $10 each week to her account.

For hen:

x be the number of weeks

Total amount left = 100 - 15x

Plug x = 4

Total amount left = $40

For Lin:

y be the number of weeks.

Total amount = 25 + 10y

Plug y = 4

Total amount = 25+40 = $65

Lin has more money in his account.

To have the same amount:

100 - 15x = 25 + 10y

x = y

100 - 15x = 25 + 10x

x = 3 weeks

Thus, Lin has more money in his account, and after 3 weeks Han and Lin will have the same amount of money in their lunch accounts.

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Answer:

$252

Step-by-step explanation:

The store paid $140 for the suit. Let's first find the 80% of $140.

$140 x 80% = $112

So now we just need to add $112 to $140.

$140 + $112 = $252

Answer:

The hypotenuse is 55 miles

Step-by-step explanation:

Given the sides of a right angle triangle as 33 and 44 miles, we want to get the hypotenuse

Mathematically, by Pythagoras’ theorem, the hypotenuse square is the sum of the squares of the other two sides

So we have;

h^2 = 33^2 + 44^2

h^2 = 3025

h = √3025

h =55 miles

Answer:

cos57° = x/51

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to solve for the missing side length.

Step 2: Set up ratios

We can choose between the 2 angles and have multiple ratios to solve for x.

sin33° = x/51

cos57° = x/51

Hence, we see that the 1st option would be the correct answer.

Answer:

c is the answer i hope this helps

Answer:

26m

Step-by-step explanation:

opp represents the height of the nest from the angle of elevation,adj represents the distance of the farmhouse from the building . Therefore,according to Tan rule (TOA)

Tan30° = opp/adj

opp= tan30° x adj

opp= tan30° x adj

opp = 0.5774 x 28

0pp= 16.12m

the height of the eagle's nest from the ground = 16m + 10m(since the farm house is 10m tall)

the height ...= 26m

Answer:

The function is:

y = 150*x

where y is the number of calories consumed, and x is the number of pieces of candy consumed.

Now, the domain of a function is the possible values of x that you can input in the function.

For this particular case you can have:

x = 0 (no pieces candy)

x = 1 (one piece of candy)

x = 2 (two pieces of candy)

Notice that x can be only whole numbers because, in principle, you can't eat a fraction of a piece of candy.

So we only use x = whole numbers.

Then the domain of the function is equal to all the natural numbers plus the zero, or:

D = {x ∈ N ∪ {0}}

"x belongs to the union between the set of the natural numbers and the zero"

Step-by-step explanation:

Answer:

y = 5.18

Step-by-step explanation:

replace x in the equation with 3.5

y = -0.72x + 7.7

y = -0.72(3.5) + 7.7

y = -2.52 + 7.7

y = 5.18

Answer:

5.18

Step-by-step explanation:

Answer:

yes no yes yes mark brainiest please

Step-by-step explanation:

wait it is proportional

Answer:

-2.5, 4.-3

Step-by-step explanation:

I'm trying I hope this help's??

Answer:

the answer its 7^2 +7^3x5 its d hope helps you

Step-by-step explanation:

Answer:

x = -3.5

Step-by-step explanation:

First we create the equation.

Let x = the unknown number

7x-1 = 5x - 8

Add 8 to both sides

7x + 7 = 5x

Subtract 7x

7 = -2x

Divide by 2

-7/2 = x

-3.5 = x