A line that includes the points (-6, 2) and (a, 1) has a slope of -1/9. What is the value of a?
Please help!

Answer:

P.E.M.D.A.S

(PARENTHESIS .1

(EXPONETS .2

(MULTIPLICATION .3

(DIVISION .4

(ADDITION .5

(SUBTRACT .6

Step-by-step explanation:

Answer:

y = 3.5

Step-by-step explanation:

0.5y - 2 = 0.25x ( add 2 to both sides )

0.5y = 0.25x + 2 ( divide through by 0.5 )

y = 0.5x + 4

when x = - 1 , then

y = 0.5(- 1) + 4

  = - 0.5 + 4

  = 3.5

Answer:

Step-by-step explanation:

step 1.  0.5y-2=0.25x

step 2 0.5 y-2=0.25(-1)

step 3 0.5y = 1.75

step 4 y = 3.5

Using the concept of angle in a straight line and the vertically opposite angles, The answer is x= [tex]7^o[/tex] and z =[tex]105^o[/tex].

An angle is a measure of the amount of rotation between two lines or planes. It is typically measured in degrees or radians. An angle can be defined as the amount of rotation needed to bring one line or plane into coincidence with another. Angles are often represented graphically as a central point, called the vertex, and two rays that extend from the vertex in different directions. The angle is the amount of rotation needed to rotate one ray so that it coincides with the other ray.

Vertically opposite angles are a pair of angles that are opposite each other and have the same vertex, with the rays of the angles extending in opposite directions. They are formed when two lines intersect at a right angle. For example, in the letter "L" shape, the angles in the corner of the "L" shape are vertically opposite angles. They are congruent angles and supplementary angles, meaning they add up to 180 degrees.

An angle in a straight line is when two lines are in the same straight line and forms an angle of 180 degree. It is also called a straight angle. A straight angle is formed when a line is bent so that its two endpoints are in the same location, creating an angle of 180 degrees. The rays of the angle are in the opposite direction, hence it is also known as straight angle.

75 = 8x+19 (Vertically opposite angles)

75-19 = 8x

x=56/8 = [tex]7^o[/tex].

75+z =180 (Angle in a straight line)

z=180-75 = [tex]105^o[/tex].

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Answer:

y = 8x + 2.99

y =10.99x  if the shipped was charger per shirt.

Step-by-step explanation:

For the first equation, the shipping charge in 2.99 if you buy 1 shirt or 100 shirts.  It is an initial or one time fee, but you have to pay $8 for each shirt.  I shirt 8, 2 shirts 16, 3 shirts 24 and so on.

In the second equation you are paying 2 and the shipping for each shirt.

That function is when the shipping charge is a one time fee.

If the shipping charge applied to each sweatshirt, then the total cost function would be y = 10.99x

===================================================

Explanation:

x = number of sweatshirts

Since each shirt costs $8, the expression 8x is the total cost of the shirts if we ignore shipping. Add on shipping to get 8x+2.99 as the actual total cost. This wouldn't include taxes or any other potential fees.

Adding on the 2.99 means it's a one time charge. This assumes all of the sweatshirts you buy is able to be shipped in one box.
---------------

If we changed it so that the shipping applied to each shirt (instead of each box), then the 2.99 would become 2.99x

That would mean the total cost becomes y = 8x+2.99x which fully simplifies to y = 10.99x

It says that the cost per shirt is really $10.99

The terms related to the definition are given below.

Polynomials are expressions of the form,

a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ

where a's are the coefficients, x is the variable and n is the number of terms.

1. A term or a sum or difference of terms is AB) Polynomial

2. A polynomial that contains one term is E) Monomial

3. The number factor of a term that contains a variable is B) Coefficient

4. A polynomial written in descending order is D) Descending order.

5. A number, a variable or a product of numbers and variables is AD) Term.

6. A polynomial that contains two terms added or subtracted is A) Binomial.

7. A term that contains a number only is C) Constant

8. A polynomial that contains three terms added or subtracted is AE) Trinomial.

9. The arrangement of the terms of a polynomial in one variable in decreasing powers of the variable is AC) Standard form of a polynomial.

10. A symbol, usually a letter of the alphabet, that can be used to represent any number is BC) Variable.

Hence the terms related to the definitions are matched.

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It needs 1 [tex]\frac{3}{4}[/tex]gallons of 40% gloss and 3 [tex]\frac{1}{2}[/tex] gloss gallons of 25% gloss.

System of equations is a set or collection of equations that are dealt together. These equations can be solved graphically and algebraically. The point where two lines intersect is the solution to the system of equations. This article elaborates on Algebraic Technique To Solve System Of Equations.A linear equation is the one which has one or more variables and when plotted gives a straight line. Two or more linear equations consisting of two or more variables such that all equations are considered at the same time is called the system of linear equations.

Asume it needs x gallons of 40% gloss and y gallons of 25% glass

x+y=5.25

40% X+25% y = 30%×5.25

So x+y=5.25 ----------(i)

0.4x+0.25y = 15.75----------(ii)

(ii)*4 - (i)

4*(0.4x+0.25) -  (x+y)=15.75*4 - 5.25

0.6x=1.05 (elimination y)

x=1.75=1 [tex]\frac{3}{4}[/tex] So

y=5.25-X=3.5 = 3 [tex]\frac{1}{2}[/tex]

So,it needs 1 [tex]\frac{3}{4}[/tex] gallons of 40% gloss and 3 [tex]\frac{1}{2}[/tex] glass gallons of 25% gloss.

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To mix paint that is 40% gloss with paint that is 25% gloss to make 5.25 gallons of paint that is 30% gloss, the paint mixer should mix 1.75 gallons of paint that is 40% gloss with 3.5 gallons of paint that is 25% gloss.

Let x be the number of gallons of paint that is 40% gloss and y be the number of gallons of paint that is 25% gloss. To mix paint that is 40% gloss with paint that is 25% gloss to make 5.25 gallons of paint that is 30% gloss, we can set up the following system of equations:

0.40x + 0.25y = 0.30 × 5.25

x + y = 5.25

To solve this system of equations, we can first multiply the second equation by 0.4 to eliminate the x term, and then we can subtract the first equation from the resulting equation to solve for y:

0.4x + 0.25y = 0.3×5.25

0.4x + 0.4y = 0.4×5.25

0.15y = 0.1×5.25 = 0.525

y = 0.525/ 0.15

y = 3.5

Then we can substitute this value of y back into one of the original equations to solve for x:

x = 5.25 - y

x = 5.25 - 3.5

x = 1.75

Therefore, the paint mixer should mix 1.75 gallons of paint that is 40% gloss with 3.5 gallons of paint that is 25% gloss to make 5.25 gallons of paint that is 30% gloss.

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260

An average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

how to calculate the average(avg) = sum of all terms/number of terms.

According to the question:

Mariella had compared 9 brands later on she wanted to even compare the other 2 brands so the average has to be calculated to 11 brands (9+2).

We can formulate it as (292 +282+ 9*254)/11

As we simplify the question we equate it as:

 (292 +282 +2286)/11

  2860/11 = 260

hence, the average is 260.

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Answer:

The dependent variable is n (outs). The number of outs depends on the number of innings.

On solving the provided question we cans ay that - the value of the following exponent is [tex]10^-5[/tex]

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

here,

[tex]10^-5[/tex] = [tex]\frac{1}{10^5}[/tex]

= 1/100000

=0.00001

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Therefore ,we can state that after resolving the given problem of equation, x = 3 .

A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. An equation is an empirical statement that proves the equality among two mathematical expressions, according to the definition of an explanation in algebra. The variables 69x + 7  and 14 are divided by an equation in the solution 56 + 5 = 14, as example. Mathematical equations are used to express the relationship between two words from either end of a letter. In most cases, the symbol serves as the sole variable. a good example

is 2x - 4 = 2.

Here,

At this location, we have

=> x + 2 = 5

=> x = 3

now,

=> 5x= 15

=> x = 15/5

=>x =3

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The question is "Solve for x for the equations  x+ 2 = 5  and 5x =15"

Answer:

C

Step-by-step explanation:

two - 4s

It would be  more efficient to solve for x in the first equation

The most efficient variable to solve for is the one which appears in one equation only because if solved for the variable that appears in both the equations, it will require more steps.

In the given equation both x and y appear in both the equation, so solving for x or y in either equation would be same, but solving for x in the first equation will be more efficient as the coefficient of x is 1.

It will be solved as:-

x=7-3y

2(7-3y)+4y=9

14-6y+4y=9

-2y=9-14

y=(-5)/(-2)=2.5

x=7-3(2.5)=7-7.5=-0.5

Solving for x in the first equation will be the most efficient approach.

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The solution to the given system of equations is (-0.5, 2.5).

So, x in the first equation

Now, According to the question:

Let's know:

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The  system of equations are:

x + 3y = 7 ---(1)

2x + 4y = 9---(2)

From equation (1), we have x=7-3y

So, substitute x=7-3y in equation (2), we get

2 × (7-3y)+4y=9

⇒ 14-6y+4y=9

⇒ 14-2y=9

⇒ 2y=5

⇒ y=2.5

Substitute y=2.5 in equation (1), we get

x+3 × (2.5)=7

⇒ x + 3 × (2.5)=7

⇒ x= -0.5

So, the solution to the given system of equations is (-0.5, 2.5)

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Answer:

Step-by-step explanation:

(5/6)(5/6) (-5/6)(5/6)

(5/6)(-5/6) (-5/6)(-5/6)  they  are they same but  you can also change them  and they will  still be the  same just backwords

Hope that helps

Answer:

It's a IQ based question

if you focus you'll see first is 1 then 3, 6,9

difference is increasing 2, 3, 4 then next one will be 5. it's quite simple

27 /20 miles farther Leah and Lee hike on Saturday than on Sunday.

Leah and Lee hiked last weekend.

Day Saturday| 7 3/4 ,Sunday| 5/ 25 ,Distance (Miles)

Solution: lean and lee hiked last weekend and on saturday 7  3 / 4 mileson Sunday = 5 2/5 miles

so,

distance leah and lee hiked farther on Saturday than Sunday = (7 3/4 miles - 5 2/5 miles)

Leah and Lee hike on Saturday than on Sunday:

31 / 4 miles - 27 / 5 miles

( 155 - 108 )  / 20 miles

47 / 20  miles

= 27 /20 miles

27 /20 miles farther Leah and Lee hike on Saturday than on Sunday.

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The length is 14 ft, the width is 10 ft, and the area of the rectangle is 140 square feet.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given that the scale of the plan is:

Scale = 4 in: 5 ft = [tex]\frac{5ft}{4in}[/tex]

Multiply the length of the studio with the given scale:

[tex]l= 11.2\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\l = 14 ft[/tex]

Multiply the width of the studio with the given scale:

[tex]w= 8\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\w = 10 ft[/tex]

The area of the rectangle is given by the formula:

[tex]A= l * b[/tex]

Substitute the value of l = 14 and w = 10:

[tex]A= (14)(10)\\\\\\A= 140 ft^2[/tex]

Hence, the length is 14 ft, the width is 10 ft, and the area is 140 square feet.

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The equation provided in the problem is a parabola whose maxima is at (6, 36)

To determine the equation of a parabola, we can utilize the vertex form. Assuming we can read the coordinates (h,k) from the graph, the aim is to utilize the coordinates of its vertex (maximum point, or minimum point), to formulate its equation in the form y=a(x-h)²+k, and then to determine the value of the coefficient a.

Given that an equation y = 12x - x² where x represents the length of the side of the patio and y represents the area of the patio.

Since the given equation is parabolic it must have a maxima point

dy/dx = 12-2x

for maximum point dy/dx = 0

Thus,

12 - 2x = 0

x = 6

substituting this value in the function

f(x) = 12*6 + 6*6

f(x) = 36

Therefore, (6, 36) points are the maxima point of the given parabolic function. These given points show that the patio will have a maximum area at the length of 6.

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The exponential form is a way of writing repeated multiplication with involving base and exponents and its examples are 5³ , 6² , 7² .

The Exponential Form is defined as a representation of mathematical expression that has one or more exponents.

let us take an example : the number 64 can be written as

= 4 × 4 × 4

= 4³, here the number 4³ will be called as 4 to the power 3 or 4 raised to the power 3 .

Some more examples of exponential form representation are : 32 = 2⁵ , 8 = 2³ , 81 = 3⁴ .

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An example of exponential form is 2^4, which is equal to 16.

2^4 = 2 x 2 x 2 x 2 = 16

Exponential form is a way of writing numbers that involves a base number (in this example, 2) and an exponent (in this example, 4). The base number is multiplied by itself the number of times indicated by the exponent. In this example, the base number (2) is multiplied by itself 4 times, resulting in 16. Exponential form is often used to express large numbers in a more compact form. It is also used to represent scientific notation, which is a way to write very large or very small numbers in a convenient form. Exponential form can also be used to represent repeated multiplication. For example, 2^4 represents 2 multiplied by itself 4 times. This is a simpler and more compact way of expressing the same calculation than writing out 2 x 2 x 2 x 2 = 16.

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Yes, It is necessary to rename 4(1/4) to 3(2/4) when 3/4 is subtracted with 4(1/4).

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,

4(1/4) - 3/4

= 17/4 - 3/4

= (17 - 3) / 4

= 14 / 4

= 3(2/4) or 3(1/2)

Thus,

We can rename 4(1/4) to 3(2/4).

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The complete question:

Explain Why It Is Necessary To Rename 4 1/4 If You Subtract 3/4 From It?

Answer:

[tex]\textsf{9.} \quad \textsf{Vertices}:\;\;(0, 1) \;\; \textsf{and} \;\; (10, 1)[/tex]

[tex]\textsf{10.} \quad \textsf{Minor axis}:\;\;2\sqrt{21}[/tex]

[tex]\textsf{11.} \quad \textsf{Eccentricity}:\;\;\dfrac{2}{5}[/tex]

[tex]\textsf{12.} \quad \sf See\;attachment[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.2 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\ \phantom{ww}$\bullet$ $(h\pm a,k)$ or $(h,k\pm b)$ are the vertices\\ \phantom{ww}$\bullet$ $(h\pm c,k)$ or $(h,k\pm c)$ are the foci where $c^2=a^2-b^2$\\\end{minipage}}[/tex]

Given:

The center of an ellipse is the midpoint of the foci.

Therefore, the center (h, k) of the ellipse is (5, 1), so:

The foci are on the major axis of an ellipse.

Given that the y-values of the given foci are the same, the ellipse is horizontal.

The foci of a horizontal ellipse are (h±c, k)

[tex]\implies 5-c=3 \implies c=2[/tex]

[tex]\implies 5+c=7 \implies c=2[/tex]

The major axis of a horizontal ellipse is 2a.

If the major axis is 10, then a = 5.

The vertices of a horizontal ellipse are (h±a, k).  

Therefore the coordinates of the vertices are:

The minor axis of a horizontal ellipse is 2b.

As c² = a² - b² then b = √(a² - c²).

[tex]\implies b=\sqrt{5^2-2^2}=\sqrt{21}[/tex]

Therefore, the minor axis is 2√(21).

The eccentricity of the ellipse is:

[tex]\implies e=\dfrac{c}{a}=\dfrac{2}{5}[/tex]

Answer:

y = 8

Step-by-step explanation:

18 + 2y = 34  Subtract 18 from both sides

18 - 18 + 2y = 34 - 18

2y = 16  Divide both sides by 2

[tex]\frac{2y}{2}[/tex] = [tex]\frac{16}{2}[/tex]

y = 8

Check:

18 + 2y = 34

18 + 2(8) = 34

18 + 16 = 34

34 = 34

Step-by-step explanation:

$60 as Carl gets more than the other 2

This is calculated by multiplying the proportion of members who said jazz is their favorite type of music (222222/555555) by the total cost number of Bounce Club members (422422422).

1. Calculate the proportion of members who said jazz is their favorite type of music:

222222/555555

= 0.4

2. Multiply the proportion (0.4) by the total number of Bounce Club members (422422422):

0.4 x 422422422

= 400,000

The survey asked 555555 members of the Bounce Club about their favorite type of music and 222222 said that jazz was their favorite type of music the proportion of members who said jazz is their favorite type of music (222222/555555) was multiplied by the total number of Bounce Club members (422422422). This calculation resulted in a most reasonable estimate of 400,000 members whose favorite type of music is jazz.

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well, we can simply divide £18  by (4 + 5) and then distribute accordingly

[tex]\stackrel{\text{\LARGE }}{4\cdot \frac{18}{4+5}}~~ : ~~\stackrel{\text{\LARGE }}{5\cdot \frac{18}{4+5}}\qquad \implies\qquad \stackrel{\text{\LARGE }}{4\cdot 2}~~ : ~~\stackrel{\text{\LARGE }}{5\cdot 2}\qquad \implies\qquad \stackrel{\text{\LARGE }}{8}~~ : ~~\stackrel{\text{\LARGE }}{10}[/tex]

Answer:

$96320.00

Step-by-step explanation:

Net Amount = $75,250.00

Raise = $3,010.00

3010 x 7 = 21070

21070 + 75250 = 96320

$96320.00