Find the slope and the y-intercept of the following linear equation. -3x + 2y = 18​

The quadratic equation (x + 1)² / 46.667 - (y - 5)² / 56 = 1 represents the hyperbola in standard form.

In this question we find the equation of a hyperbola in general form, that is, a quadratic equation of the form A · x² + B · y² + C · x + D · y + E = 0, and we need to obtain the standard form of the hyperbola:

(x - h)² / a² - (y - k)² / b² = 1

Where:

We can switch from general form into standard form by completing the square, an application of algebra properties:

6 · x² - 5 · y² + 12 · x + 50 · y - 149 = 0

(6 · x² + 12 ·  x) - (5 · y² - 50 · y) = 149

6 · (x² + 2 · x) - 5 · (y² - 10 · y) = 149

6 · (x² + 2 · x + 1) - 5 · (y² - 10 · y + 25) = 149 + 6 + 125

6 · (x + 1)² - 5 · (y - 5)² = 280

(x + 1)² / 46.667 - (y - 5)² / 56 = 1

The equation of the hyperbola in standard form is (x + 1)² / 46.667 - (y - 5)² / 56 = 1.

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Answer:  $879,489

Step-by-step explanation:

When it comes to a business net worth is simple:

           assets - liabilities = net worth.

Assets are an expenditure that has utility through multiple future accounting periods.  For example, a company pays its electrical bill. This expenditure covers something (electricity) that only had utility during the billing period; therefore, it is recorded as an expense.

Conversely, the company buys a machine, that it expects to use for the next five years. Since this expenditure has utility through multiple future periods, it is recorded as an asset.

Cash, savings, inventory, investments, equipment, and receivables are also assets. Basically, anything that is owned and could be liquidated for cash.

In simple terms a liability is something that is owed to someone else:

On the blueprint what is the length of a room is 5square inch.

What is square?

A square is a quadrilateral because it has four equally sized sides. Our immediate surroundings is filled with many square-shaped things. Equal sides and interior angles of 90 degrees help you identify each square form. A closed form known as a square has four equal sides and two interior angles that are both 90 degrees. A square has a wide range of characteristics.

Given the square bedroom have 3 feet side

The area of the bedroom is = 3² = 9 sq inch

1 inch = 2 feet

1 square inch = 4 square feet

20 square feet = 5square inch

Hence, On the blueprint what is the length of a room 5square inch.

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Answer: thanks for the ponts

Step-by-step explanation: ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Here is the two column proof:

    Statement                                        Reason                                              

when me I would say the 1st one but who knows lol

Answer:

[tex]x=-\frac{21}{8}[/tex]

Step-by-step explanation:

[tex]-4(2x+4)=5 \\ \\ 2x+4=-\frac{5}{4} \\ \\ 2x=-\frac{21}{4} \\ \\ x=-\frac{21}{8}[/tex]

The parameters of the absolute value function g(x) = -|2x| + 5 are given as follows:

The standard definition of the absolute value function is given as follows:

f(x) = a|bx + c| + d.

The meaning of each parameter is given as follows:

In this problem, the function is defined as follows:

g(x) = −|2x| + 5.

Compared with the standard absolute value function, the values of these parameters are given as follows:

a = -1, b = 2, c = 0, d = 5.

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The expression equivalent to the given expression 2(x -2)-5(2x -3) is

(2x-4-10x+15)

An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation.

Given is an expression, 2(x -2)-5(2x -3)

Using distributive property,

a(b+c) = ab+bc

2(x -2)-5(2x -3) = 2x-4-10x+15

Hence, The expression equivalent to the given expression 2(x -2)-5(2x -3) is (2x-4-10x+15)

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There are 3,125 different places to sit if they don't mind sharing s desk sometimes and there are 120 different places to sit, if they all sit on separate tables.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that there are five different tables in the class and five students

Each table can be occupied by only one student

There are 200 days of studying years.

As a small prank on their teacher students would like to sit in a new way every day, so there are no two days during their studying year such that all students are occupying the same tables.

5×4×3×2×1 = 120

There are 120 different places to sit, if they all sit on separate tables.

5×5×5×5×5 = 3,125

There are 3,125 different places to sit if they don't mind sharing s desk sometimes.

Hence, there are 120 different places to sit, if they all sit on separate tables and there are 3,125 different places to sit if they don't mind sharing s desk sometimes.

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Answer:

Step-by-step explanation:

I'm sorry, but I'm not sure what you're asking. It's not clear to me what you mean by "point (3'6)" or "(3-5)." Could you please provide more information or clarify your question

Answer:8

Step-by-step explanation: 10/ 1 1/6 so the equals to 8 4/7 but the problems says whole necklaces to the answer is 8

Answer: 42

Step-by-step explanation: ik additive inverse

Solve x(4.4)(1.4) given that x = 5

Plug x into equation

5(4.4)(1.4)

Distribute 5 into 4.4

22(1.4)

Distribute 22 into 1.4

30.8

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

Answer:

y=5x-23

Step-by-step explanation:

y=mx+b is the slope intercept form

m is slope

And b is y intercept

We know the line will have a slope of 5 since they are parallel both lines will have the same slope

y=5x+b

To find b we put in the given coordinates (4,-3)

-3=5(4)+b

-3=20+b

-20 -20

-23=b

Now we just plug in b

y=5x-23

Hopes this helps

Answer:

to solve a system of linear equations by elimination, we need to eliminate one of the variables, for example, we could add the two equations together to eliminate the variable y. However, we need to make sure that the coefficients of the two equations are the same before we can add them together. We can do this by multiplying the first equation by -1.5 and the second equation by 1.5. This gives us the following system of equations:

-2.25x - 13.5y = -31.5

2.25x - 4.5y = 13.5

We can now add these two equations together to eliminate the variable y, which gives us the following equation:

0 = -18

This equation is not possible, so the system of equations does not have a solution.

Answer:

Math  can help you get your answer it has a linear equation by option

Step-by-step explanation:

The graph of the function C = 49 + 20m is a discrete function and is represented by vertical lines for whole numbered values of 'm'.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, That no. of months is a whole month and hence it is discrete as it can not take decimal values.

The graph of the equation C = 49 + 20m would have vertical lines at each whole value of 'm'.

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Answer:

To solve this problem, we need to first perform the multiplication. In mathematics, multiplication is performed before division, so we should calculate the product of 6/7 and 1/2 before dividing it by any other number. To find the product, we simply multiply the numerators together to get 6 and the denominators together to get 14. So the product of 6/7 and 1/2 is 6/14.

Step-by-step explanation:

Answer:

D) 4, H) 14

Step-by-step explanation:

D) both angles form a linear pair so 101-5x + 2x+70 = 180

Simplify

171-3x = 180

-3x = 9

x = -3

H) 11x-23 = 41 + 90 because they are opposite angles

Simplify

11x = 154

x = 14

The value of a is 3.

The value of b is 5.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]3^{1/5}[/tex]

This expression can be written as 5 roots of 3.

[tex]\sqrt[5]{3}[/tex]

Thus,

The value of a and b from the expression [tex]3^{1/5}[/tex]are 3 and 5.

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The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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The linear regression equation for the data is given as follows:

y = 0.55x + 0.3.

The prediction of Adam's shoe size when he is 14-years-old is given by the following option:

A. 8.

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

From the table, the points are given as follows:

(6,3), (8, 4.5), (10,5), (12, 7.5).

Inserting these points into a calculator, the regression equation predicting the shoe size at an age of x is given as follows:

y = 0.55x + 0.3.

Then the estimate for the shoe size at an age of 14 is found when x = 14, hence:

y = 0.55(14) + 0.3 = 8.

Meaning that option A is correct.

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The new coordinates are X'(8, 7), Y'(5, -2), Z'(7, 0).

The coordinates of the triangle are given as

X(-7, 8), Y(2, 5), Z(0,7).

The rotation is given as r(90,0) XYZ

This means that

We have (x, y) ⇒ (y, -x)

Substitute X(-7, 8), Y(2, 5), Z(0,7) in (x, y) ⇒ (y, -x)

So, we have

X'(8, 7), Y'(5, -2), Z'(7, 0).

Hence, the coordinates of the image are X'(8, 7), Y'(5, -2), Z'(7, 0).

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Answer:

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

Given two sets:

Both sets include 3 and 5 so the combination is all the elements of the A and two unique elements of the B:

The matching choice is D.

To find the side x, we can use the Law of Cosines, which states that in any triangle, the square of the length of any side is equal to the sum of the squares of the lengths of the other two sides minus twice the product of those two sides and the cosine of the angle between them. In symbols, if a, b, and c are the lengths of the sides of a triangle, and C is the measure of the angle opposite the side of length c, then we have the equation:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we are given the lengths of two sides (a = 10 and b = 6) and the measure of the angle opposite the unknown side (C = 0 degrees), so we can plug those values into the equation to solve for c:

x^2 = 10^2 + 6^2 - 2 * 10 * 6 * cos(0)

x^2 = 100 + 36 - 120

x^2 = 16

x = sqrt(16) = 4

Therefore, the length of the side x is 4.

To find the indicated angle, we can use the Law of Sines, which states that in any triangle, the ratio of the length of a side to the sine of the angle opposite that side is constant. In symbols, if a, b, and c are the lengths of the sides of a triangle, and A, B, and C are the measures of the angles opposite those sides, then we have the equations:

a/sin(A) = b/sin(B) = c/sin(C)

In our case, we are given the lengths of two sides (a = 10 and c = 12) and the measure of the angle opposite one of those sides (A = 0 degrees), so we can use those values to solve for the measure of the angle opposite the other side:

10/sin(0) = 12/sin(C)

sin(C) = 0

Therefore, the measure of the angle C is 0 degrees.

this is original answer

To find the side x, we can use the Law of Cosines, which states that in any triangle, the square of the length of any side is equal to the sum of the squares of the lengths of the other two sides minus twice the product of those two sides and the cosine of the angle between them. In symbols, if a, b, and c are the lengths of the sides of a triangle, and C is the measure of the angle opposite the side of length c, then we have the equation:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we are given the lengths of two sides (a = 10 and b = 6) and the measure of the angle opposite the unknown side (C = 0 degrees), so we can plug those values into the equation to solve for c:

x^2 = 10^2 + 6^2 - 2 * 10 * 6 * cos(0)

x^2 = 100 + 36 - 120

x^2 = 16

x = sqrt(16) = 4

Therefore, the length of the side x is 4.

To find the indicated angle, we can use the Law of Sines, which states that in any triangle, the ratio of the length of a side to the sine of the angle opposite that side is constant. In symbols, if a, b, and c are the lengths of the sides of a triangle, and A, B, and C are the measures of the angles opposite those sides, then we have the equations:

a/sin(A) = b/sin(B) = c/sin(C)

In our case, we are given the lengths of two sides (a = 10 and c = 12) and the measure of the angle opposite one of those sides (A = 0 degrees), so we can use those values to solve for the measure of the angle opposite the other side:

10/sin(0) = 12/sin(C)

sin(C) = 0

Therefore, the measure of the angle C is 0 degrees.

The slope of the ramp is the ratio of the y and x coordinates thus it will be 24 feet.

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The situation is making a right-angle triangle as shown below.

The slope of the wheelchair = 2 feet / x

2/x = 1/12

x = 2 x 12 = 24 feet

Hence "The ramp will be 24 feet long since the slope is determined by the ratio of the y and x variables".

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All the possible lengths for the third side lie between 13 to 35 feet.

What is a triangle Inequality Theorem?

In Euclidean geometry, the theorem is that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So, a difference of two sides <x< sum of two sides, will give you the possible length of a triangle.

Therefore, 24 − 11 < x < 24 + 11

13 < x < 35 is the possible length of the third side of a triangle.

13 < x < 35 satisfies the triangle inequality theorem.

Hence, all the possible lengths for the third side lie between 13 to 35 feet.

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Answer:

The product of 0.8 and a number is 12, so the equation representing this statement is: 0.8 * x = 12.

To solve this equation, we need to find the value of x that makes the equation true. We can do this by using the replacement set {0, 8, 1, 7, 15}.

If we substitute 0 for x in the equation, we get: 0.8 * 0 = 12. This equation is not true, so 0 is not a solution.

If we substitute 8 for x in the equation, we get: 0.8 * 8 = 12. This equation is not true, so 8 is not a solution.

If we substitute 1 for x in the equation, we get: 0.8 * 1 = 12. This equation is not true, so 1 is not a solution.

If we substitute 7 for x in the equation, we get: 0.8 * 7 = 12. This equation is not true, so 7 is not a solution.

Finally, if we substitute 15 for x in the equation, we get: 0.8 * 15 = 12. This equation is true, so 15 is a solution.

Therefore, the solution set for this equation is {15}.

Answer:  0.8x=12

x=15

Step-by-step explanation:

0.8x=12

x=15

15*0.8=12