Find the slope of the line that passes through (9, 10) and (6, 17).
1) Simplify your answer and write it as a
proper fraction, improper fraction, or integer.

The solution of the linear equation −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

−2.4(m − 2/3) = −9

Simplify the equation, then we have

−2.4(m − 2/3) = −9

m - 2/3 = 9/2.4

m - 2/3 = 15/4

m = 15/4 + 2/3

m = 53 / 12

m = 4 ⁵/₁₂

The arrangement of the straight condition −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.

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The measure of m∠XBC=(3p-6)°=(3·47-6)°=135°.

Given data :

m∠XBC = m∠BAC + m∠BCA,

Now if : m∠XBC=(3p-6)°: m∠BAC=(p+4)°: m∠BCA=84°,

then we get the equation :

3p-6=p+4+84

(option 2), 3p-6=p+88

(option 3), 3p-p-6=p-p+88,2p-6=88

(option 4), 2p-6+6=88+6,2p=94

(option 5), p=47.

Then m∠XBC=(3p-6)°=(3·47-6)°=135°.

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Answer:

135
answer in picture

Step-by-step explanation:

The inequality that would represent the possible values for the number of drinks purchased, d, and the number of pretzels purchased p will be p + d ≤ 7.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.

From the information, Keilantra and her children went into a movie theater and will buy drinks and pretzels and she must buy no more than 7 drinks and pretzels altogether

In this case, the inequality will be p + d ≤ 7. It implies that they should not be more than 7.

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The expression 6x-8 represents the perimeter of a shape in terms of the length of one of its sides, while the expression 4(1.5x-2) represents the perimeter of the same shape in terms of the length of its diagonals. Therefore, the expression 4(1.5x-2) provides additional information about the shape that is not contained in the expression 6x-8. Specifically, the expression 4(1.5x-2) tells us that the length of each diagonal of the shape is equal to 1.5 times the length of one of its sides minus 2. This information allows us to determine the lengths of the diagonals of the shape, which is not possible with the information provided by the expression 6x-8.

The standard form of the linear equation of a straight line is given as  

2x - y + 17 = 0

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.    

                           Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

y=mx+c; where y and x stand for the respective axis's; 'm' represents the slope while 'c' represents the constant.

Let the point through which the line passes be P

Then, P= (-6,5)

m= 2

The equation of a straight line as a single point form can be found using the formula:

y-y1=m(x-x1)+c

y-(5) = 2(x-(-6))+c

y -5= 2(x+ 6)+c

Taking LCM

y - 5 =2(x+6)

on cross multiplying we get:

y - 5 = 2x + 12

 y  = 2x + 12 + 5

  2x - y + 17 = 0

Thus, Equation of the line comes out to be    2x - y + 17 = 0

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Answer:

v=116

u=137

Step-by-step explanation:

hope it's helpful for you

Answer:

33/20

Step-by-step explanation:

The direct variation is the slope, or how much the y-value of the line changes when the x-value of a line increases by 1.

Plug into the formula:

[tex]\frac{y_2-y_1 }{x_2-x_1}[/tex]

[tex]\frac{-28-5}{14--6}[/tex]

[tex]\frac{33}{20}[/tex]

Answer:

43.96

Step-by-step explanation:

C = 2πr

C = 2 × 3.14 × 7

C = 43.96

Step-by-step explanation:

given in fig :

radius = 7

so,

circumference of the given figure= 2πr

=2×3.14×7

= 43.96

Answer: -$100

Step-by-step explanation:

We know that Andrea loaned $5 to each of the 20 people.

So 5 times 20 = -$100

Answer:

{x = -2, y = -1

Step-by-step explanation:

Solve the following system:

{-3 y + 8 x = -13

5 y - 3 x = 1

Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{-3 y + 8 x = -13

5 y - 3 x = 1

Isolate terms with x to the left-hand side.

Add 3 y to both sides:

{8 x = 3 y - 13

5 y - 3 x = 1

Hint: | Solve for x.

Divide both sides by 8:

{x = (3 y)/8 - 13/8

5 y - 3 x = 1

Perform a substitution.

Substitute x = (3 y)/8 - 13/8 into the second equation:

{x = (3 y)/8 - 13/8

5 y - 3 ((3 y)/8 - 13/8) = 1

Expand the left-hand side of the equation 5 y - 3 ((3 y)/8 - 13/8) = 1.

5 y - 3 ((3 y)/8 - 13/8) = 5 y + (-(9 y)/8 + 39/8) = (31 y)/8 + 39/8:

{x = (3 y)/8 - 13/8

((31 y)/8 + 39/8) = 1

Choose an equation and a variable to solve for.

In the second equation, look to solve for y:

{x = (3 y)/8 - 13/8

(31 y)/8 + 39/8 = 1

Isolate terms with y to the left-hand side.

Subtract 39/8 from both sides:

{x = (3 y)/8 - 13/8

(31 y)/8 = -31/8

Solve for y.

Multiply both sides by 8/31:

{x = (3 y)/8 - 13/8

y = -1

Hint: | Perform a back substitution.

Substitute y = -1 into the first equation:

Answer: {x = -2, y = -1

Answer:

Below

Step-by-step explanation:

4%  /12  = .33 % per period

  periods per year = 12

  money is compounded each month for 12 years = 144 times

Latisha needs to pay first month's rent ($675), last month's rent ($675), and the security deposit ($325), which totals $1,325.

Latisha needs to pay a total of $1,325 to move into her new apartment. This includes the first month's rent of $675, the last month's rent of $675, and the security deposit of $325. This total amount must be paid before Latisha can move in and enjoy her new place. In addition to the up-front costs for move-in, Latisha will also need to be prepared to pay her rent each month and maintain her security deposit in case there are any damages to the apartment. Paying the move-in costs is the first step to ensure that Latisha can enjoy her new home.

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Answer:30

Step-by-step explanation:

In a triangle, the midsegment is half of base (AC)

so, AC would be double of DE, meaning 15×2=30

Answer:

(A) Here, as we can see class A has more girls than class B.

(B) Class A has a greater percentage of girls.

Step-by-step explanation:

So,

For class A

For class B

(A) Here, as we can see class A has more girls than class B.

(B) Class A has a greater percentage of girls.

In Gallup political polls, respondents are asked which political party they identify with: independent, democratic, or republican. Nominal level of measurement is used to measure party

Nominal level of measurement is used when assigning a name, label, or category to a particular attribute of an individual, group, or phenomenon. In the case of party affiliation, the Gallup Political Polls ask people to identify themselves as Democrat, Republican, or Independent. These labels are mutually exclusive, and do not imply any particular order. Therefore, the level of measurement used to measure party is nominal.

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Answer:

  176.7 square inches

Step-by-step explanation:

You want the area of a 15 inch diameter pizza.

The formula for the area of a circle in terms of its diameter is ...

  A = (π/4)d²

The area of the pizza is ...

  A = (π/4)(15 in)² = 225π/4 in² ≈ 176.7 . . . square inches

The area is about 176.7 square inches.

Answer:

She has $984.00 left after taxes.

She pays $216.00 in taxes

Step-by-step explanation:

1200 x .18 = 216

She pays $216.00 in taxes

1200 - 216 = 984

She has $984.00 left after taxes.

The greatest common factor of polynomial  64xyz−36xy + 24x  is 4x

The greatest common factor of a polynomial is a monomial that divides all terms of the polynomial.

The given polynomial is:

64xyz−36xy + 24x

Notice that there are 3 terms:

64xyz

−36xy

24x

To find the greatest common factor, notice that each terms contain x.

Next, find the gcf of 64, 36, 24.

Using prime factorization:

64 = 2⁶

36 = 2² × 3²

24 = 2³ × 3

Hence the gcf (64, 36, 24) = 2² = 4

Therefore the gcf of  64xyz−36xy + 24x  is 4x

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If there are ten five and six year old attending a birthday party when a 30 year old mother walks in to the room with an infant in her arm then the Mean of the ages in the room changes.

The term average refers to any of the measures of central tendency. The arithmetic mean of a set of observed data is defined as being equal to the sum of the numerical values of each and every observation, divided by the total number of observations. suppose there are ten five and six year old attending a birthday party when a 30 year old mother walks into the room with an infant in her arms. The mean of a dataset exists as the sum of all values divided by the total number of values. It's the most generally utilized measure of central tendency and exists often referred to as the “average.”

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Answer:

1/5

Step-by-step explanation:

of: *

is: =

1/7 * x = 1/35

Multiply by 7 on both sides.

7(1/7x) = 7(1/35)

x = 1/5

To answer this question, we need to first multiply the left side of the given equation and write it as the difference of two squares. This can be done by using the difference of squares formula, which states that the difference of two squares can be written as the product of the square of the sum and the square of the difference.

The left side of the given equation can be written as:

(csc0+1)(csc0-1)

We can then apply the difference of squares formula to this expression to get:

(csc0+1)(csc0-1) = (csc0+1)(csc0-1)

Now, we can see that this expression is equivalent to cot 0 using the Pythagorean Identity. This identity states that the sum of the squares of the cosecant and cotangent of an angle is equal to 1. In this case, since (csc0+1)(csc0-1) = cot 0, we can use the Pythagorean Identity to rewrite the left side of the equation as (csc0^2 + cot0^2) = 1, which is equivalent to cot 0.

Therefore, the correct answer is C. Pythagorean Identity

H>50 means H is larger than 50

The crocodile eats the bigger # is a way to remember it.

Answer:

The answer is, rounded to the nearest degree, 51°

If the width of a rectangle is two feet less than the length and the perimeter is 52 feet, then the length and width of the rectangle is 14 feet and 12 feet respectively

The width of a rectangle is two feet less than the length

Consider the length of the rectangle as x

Then the width of the rectangle = x - 2

The perimeter of the rectangle = 52 feet

The perimeter of the rectangle = 2(l + w)

Where l is the length and w id the width

Substitute the values in the equation

2(x + x - 2) = 52

2(2x - 2) = 52

2x - 2 = 52/2

2x - 2 = 26

2x = 28

x = 14 feet

Width of the rectangle = 14 - 2

= 12 feet

Therefore, the length and width of the rectangle is 14 feet and 12 feet respectively

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He will make $697.5 in a work week if he sold $4500 worth of merchandise.

Mea Ling earn a weekly salary of $360 which means salary per week is $360.

Then plus a 7.5% commission on sales at a gift shop if  she sold $4,500  worth of merchandise, which means additional.

Divide by 100. Most interest rates are quoted and advertised in terms of a percentage.

7.5%= 0.075

Multiplication In mathematics, multiplication (denoted by ‘ × ’) is a method of finding the product of two or more values.

In arithmetic, multiplication of two numbers represents the repeated addition of one number with respect to another.

0.075×4500= 337.5

Then total she make will be

337.5+360

= $697.5

Therefore, he will make $697.5 in a work week.

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π/32 is the area enclosed by the curve r= sin(8θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = [tex]\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta[/tex]

where a and b is the boundary at which r=0

so after equation r=0

sin(8θ) =0

=> sin(8θ) =0

=> 8θ = 0,π

=> θ = 0, π/8

so a=0 , b= π/8

now  

   A = [tex]\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta[/tex]    ------(i)

 so   [tex]r^2[/tex] = (sin(8θ))^2

=>  [tex]sin^2[/tex] ( 8θ )

ans we know that

cos(2α) = 1 -  2[tex]sin^2[/tex] α

so   [tex]r^2[/tex]  = (1- cos(16θ) )/2

putting the value of r in the equation (i) we get :-

A = [tex]\int\limits^a_b {\frac{1}{4} *(1-cos(16\alpha ) } \, d\alpha[/tex]

=> 1/4* [tex]\int\limits^a_b {(1-cos(16\alpha ) } \, d\alpha[/tex]

here a=0 and b=π/8

after putting the value and solving the integral

A = π/32

so A is the area enclosed by r=sin(8θ) is π/32

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Answer: 371.28

I hope that this helps! :)

Answer: 371.28

Step-by-step explanation: hope it helps mark brainlist if helpful

Answer:

1 minute

because the first elevator has traveled 200 meters and the second elevator goes 200 meters in one minute so they will catch up with the first group in 1 minute.