What is the equation of the line through (2, -4) and (0, 4)?
OA. y= 4x- 4
O B. y= -4x- 4
Oc. y= -4x+ 4
OD.y= 4x+ 4

length = 17 units, breadth = 9 units

Step-by-step explaination:-

Let the length and the breadth of the rectangle be x units and y units respectively.

Then the area of rectangle = xy square units

According to given conditions, we have

(x -5)(y + 3) = xy - 9 and (x + 3)(y + 2) = xy + 67

=> xy + 3x - 5y - 15 = xy - 9

and xy + 2x + 3x + 6 = xy + 67

=> 3x - 5y - 6 = 0......eqn(i)

and 2x + 3y - 61 = 0.....eqn(ii)

Multiplying equation (i) by 2 and equation (ii) by 3, we get...

6x - 10y - 12 = 0....eqn(iii) and,

6x + 9y - 183 = 0....eqn(iv)

Subtracting equation (iii) from equation (iv), we get...

19y - 171 = 0 => y = 9.

Substituting this value of y in equation (ii), we get

2x + 3 × 9 - 61. = 0 => 9x - 34 = 0 => x = 17.

Hence, the length of rectangle = 17 units and

breadth = 9 units.

Answer:

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

N^2 + 2N + 1

Since we are given N = 5, we just substitute N for 5

(5)^2 + 2(5) + 1

25 + 10 + 1

36

Answer: 36

Step-by-step explanation:

5*5 + 5*2 +1 = 25 + 10 + 1 = 36

The expression 4 x 2/3 as a multiple of a unit fraction is 8/3, which is equal to (1/3) x 8.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

To express 4 x 2/3 as a multiple of a unit fraction, we need to find a fraction that can be multiplied by a whole number to give us 4 x 2/3.

First, we can simplify 2/3 by dividing both the numerator and denominator by their greatest common factor, which is 1. This gives us:

2/3 = 2 ÷ 1 / 3 ÷ 1 = 2/3

Next, we can multiply 4 by 2/3 to get:

4 x 2/3 = 8/3

To express 8/3 as a multiple of a unit fraction, we can use the fact that any fraction can be expressed as a sum of unit fractions. We can start by expressing 1/3 as a unit fraction:

1/3 = 1 ÷ 3

Next, we can multiply both the numerator and denominator of 1/3 by 3 to get:

1/3 = 3 ÷ 9

Now we can express 8/3 as a sum of unit fractions:

8/3 = (3/9) x 8 = (1/3) x 8 = 8 ÷ 3

Therefore, 4 x 2/3 as a multiple of a unit fraction is 8/3, which is equal to (1/3) x 8.

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Answer:

50%

Step-by-step explanation:

Theres 10 shapes and 5 of them are yellow. So that is 5/10 which equals 50%

hope this helps <3

Answer:

50%

Step-by-step explanation:

5/10 are yellow so 5% I think

Answer:

A fancy way of saying "solutions" of the equation

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer: 24 lemons

Step-by-step explanation: Good luck! :D

8 lemons - 10 cups

16 lemons - 20 cups

24 lemons - 30 cups

Answer: 24

Step-by-step explanation: all I did was multiple 8 times 3 because ten was multiple by 3

Answer:

a) f(1) = 3

b) f(-1) = -0.25

c) x = 0, 3

d) x = -0.75

e) domain   [-2, 4]

    range   [-1, 3]

Step-by-step explanation:

In this graph, f(x) is represented by the y-axis.

a) We can see that f(1) (the y-value when x = 1) is 3.

b) Looking at the graph, we can estimate f(-1) as about -0.25.

c) We need to find the x-values when the y-axis is at 1. We can see that there are two points at x = 0, 3.

d) Looking at the graph, we can estimate that f(x) = 0 around when x = -0.75.

e) The domain of a function is its set of x-values. We can see that f(x) spans from x = -2 to x = 4. That range in interval notation is: [-2, 4]

The range of a function is its set of y-values. We can see that f(x) spans from y = -1 to y = 3. That range in interval notation is: [-1, 3].

Slope : -2

y - intercept : 3

Equation : y = -2x+3

Answer:

Step-by-step explanation:

Slope: -0.5

Y-Intercept: 3

y = -0.5x+3

The possible outcomes for the sum are the numbers in the set:

{2, 3, 4, 5, 6, 7}

So there are 6 possible outcomes.

You can select a number between 1 and 3, so the options are {1, 2, 3}

The computer selects a number between 1 and 4, so the options are {1, 2, 3, 4}

The possible aditions, in the form of "your number + computer number" are:

1 + 1 = 2

2 + 1 = 3

3 + 1 = 4

1 + 2 = 3

2 + 2 = 4

3 + 2 = 5

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

1 + 4 = 5

2 + 4 = 6

3 + 4 = 7

So the possible outcomes for the sum are the numbers in the set:

{2, 3, 4, 5, 6, 7}

So there are 6 possible outcomes.

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The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Answer:

Sure but can you show me the triangle.

Answer:

try 2to4 let me see or if it's wrong correcte

Answer:10:7

Step-by-step explanation:

Answer:

42 folds. This fact is mentioned in search results [1], [2], [3], [4], [5], and [7]. It is also noted in search result [6] that the answer may be 45 folds instead of 42, but this is in the context of a discussion on exponential growth and is not a commonly accepted answer to the question. Finally, search result [10] poses a similar question but provides the same answer of 42 folds to reach the moon.

Step-by-step explanation:

Answer: one solution.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

192

Step-by-step explanation:

1 Pound = 16 Ounces

So 16 (ounces) x 12 (dollars) = 192 (ounces)

16 x 12 = 192

Answer:

  1 1/3 ounces

Step-by-step explanation:

The weight you can purchase is proportional to the amount you want to spend. There are 16 ounces in a pound.

Where x is the quantity you can buy with $1, the proportion is ...

  (16 oz)/($12) = x/$1

  4/3 oz = x . . . . . . . . . multiply by $1. The amount you can buy with $1.

1 1/3 ounces can be bought with $1.

Answer:

y = x + 13

Step-by-step explanation:

Step 1: Find the slope

(11-20) / (-2-7) = 1

Step 2: Find b

y = x + b

20 = 7 + b

b = 13

Step 3: Put it all in slope-intercept form

y = x + 13

And you should have your final answer!

Answer: $9.66

Step-by-step explanation: perimeter = 345mm + 345mm + 345mm + 345mm = 1380

We need 1380 millimeters which is equivalent to 1.38 meters.

We can multiply the number of meters by the cost of meters to find the total

Answer:

It's 1

Step-by-step explanation:

any number or expression divided by itself is 1

Answer:

1

Step-by-step explanation:

The expression (x + 4) / (4 + x) simplifies to 1 because no matter what value you choose for x, when you add 4 to it and add the same value to 4, you always get the same result in the numerator and denominator, making them cancel out and equal to 1.

The 164° and 81° located with the angle x at a point indicates that the size of the angle x is 115°

The angles that are arranged around a point add up to 360°. The angles at a point are the angles which together, produce a rotation of 360°.

The sum of angle at a point can be used to find the measure of the angle x as follows;

The addition of angles at a point = 360°

Therefore; 164° + 81° + x = 360°

Therefore; x = 360° - (164° + 81°) = 115°

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Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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Answer:

42

Step-by-step explanation:

The length of row of students is 42 feet.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Perpendicular height= 21 feet

Using Trigonometry

tan 45 = x/ 21

1 = x/21

x= 21 feet

then, the length of the row is double the value x.

= 21 x2

= 42 feet

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Answer:25.45

Step-by-step explanation:

52936/1 year x 1 year/52 weeks x 1 week/40hours

Here is the table of the number of baseball cards for 0 to 4 packages and their corresponding ordered pairs:

Number of Packages, x | Number of Cards, y | Ordered Pair (x, y)

0 | 0 | (0, 0)

1 | 10 | (1, 10)

2 | 20 | (2, 20)

3 | 30 | (3, 30)

4 |40 | (4, 40)

To plot these points in the coordinate plane, we can use the horizontal axis for the number of packages (x) and the vertical axis for the number of cards (y), with each unit representing 1 package or 10 cards. Here is the plot:

|

50 |

45 |

40 ● (4, 40)

35 |

30 ● (3, 30)

25 |

20 ●(2, 20)

15 |

10 ● (1, 10)

5 |

0 ● (0, 0)

--------------

0 1 2 3 4

As we can see from the plot and the table, the relationship between the coordinates of the ordered pairs is linear, with the number of cards increasing by 10 for each additional package.

Specifically, the relationship can be described by the equation y = 10x, where y is the number of cards and x is the number of packages. This means that the slope of the line connecting any two points is always 10, and the y-intercept is 0.

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ANSWER:

157.5°

STEP-BY-STEP EXPLANATION:

We can calculate the sum of all the interior angles of an n-sided polygon, just like this:

In this case it is 16 sides, therefore:

Therefore, to know how much an interior angle measures, we must divide by the number of angles, that is, 16, like this:

That is, the measure of one interior angle in a regular 16-gon is 157.5°

Answer:

5,000

Step-by-step explanation: