Solve 6x + c = k for x

The expected answer is AD.

A segment has a unique property of having two end points such that it can be differentiated from a ray or line. A given segment can be divided into a required number of parts, so that addition or subtraction operations can be performed on some or all parts of the segment.

In the given question, we have;

AE = AB + BC + CD + DE

AC = AB + AC

CE = CD + DE

BD = BC + CD

BE = BD + DE  etc.

Therefore, the appropriate answer after showing the steps is;

AC + CD = AD

Learn more about parts of a segment at https://brainly.com/question/776350

#SPJ1

The slopes 3 and -1/3 are the opposites of one another. So the line y = 3x - 7 is perpendicular to line 3x + 9y = 9.

In the given question, we have to explain the line y = 3x - 7 is either parallel or perpendicular to 3x + 9y = 9.

The given equation is y = 3x - 7.

y = mx+ c is the line's equation in the slope-intercept form.

By comparing this to the preceding equation, we can determine that this line's slope is 3 and its y-intercept is -7.

Lines with equal slopes are said to be parallel. Lines that are perpendicular will have a slope product of -1.

3x + 9y = 9

We can write this equation as

9y = -3x + 9

Divide by 9 on both side, we get

y = -3/9 x + 9/9

y = -1/3 x + 1

Now the slope is -1/3 and y-intercept is 1.

Hence, the slopes 3 and -1/3 are the opposites of one another. So the line y = 3x - 7 is perpendicular to line 3x + 9y = 9.

To learn more about parallel and perpendicular of line link is here

brainly.com/question/29076164

#SPJ4

The complete question is:

Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.

The given expressions y =- 3+7x and y= − 3 − 7x are compared with the general form of slope y=mx+c. And the y-intercept of both is found to be -3.

A line's slope, often known as its gradient, is a numerical value that represents the line's steepness and direction. This slope provides the ratio of the rise in y when x rises by a specific amount. Therefore, this may be calculated using the basic formula y=mx+c, where c stands for the y-intercept and m for the slope.

Given the expressions are y = -3+7x and y= -3-7x. Compare these two expressions one by one with the general form of the slope. By comparing the first expression we get, the slope as 7 and the y-intercept as -3. Similarly, comparing the second expression we get, the slope is -7 and the y-intercept is -3.

Therefore, the required answers are -3 and -3.

The complete question is -

What is the y-intercept of y =- 3+7x and y= − 3 − 7x?

To know more about the slope:

https://brainly.com/question/29006583

#SPJ4

Answer: The volume of a cone is given by the formula: V = (1/3) * π * r^2 * h

Where:

V is the volume

π is 3.14

r is the radius

h is the height

So in this case, using the given values:

V = (1/3) * 3.14 * (25^2) * 18

V = (1/3) * 3.14 * 625 * 18

V = (625 * 18 * 3.14) / 3

V = 35,325 ft^3

So the answer is (B) 35,325 ft3

Step-by-step explanation:

100 ounces of pure chocolate is required to be included in 100 ounces of chocolate topping that is 50% chocolate to prepare a topping that is 75% chocolate.

Using the given equation to determine the number of ounces needed:

0.50 . 100 + 1.00x  = 0.75(100 + x)

50 + 1.00x = 75 + 0.75x

50 - 75 = 0.75x  - 1.00x

- 25= -0.25x

or

0.25x= 25

x= 25/0.25

x= (25. 100)/25

x = 100.

Thus, 100 ounces of pure chocolate is required to be included in 100 ounces of chocolate topping that is 50% chocolate to prepare a topping that is 75% chocolate.

You can learn more about number of ounces at

https://brainly.com/question/17209436

#SPJ4

The bedroom should be 14.4 inches long in the scale drawing.

What is the proportion?

A proportion is an equation in which two ratios are set equal to each other.

If the scale of the drawing is 3 inches = 5 feet, that means that for every 3 inches on the drawing, it represents 5 feet in reality. To find how many inches the bedroom should be in the scale drawing, you can use the proportion:

(inches in scale drawing) / (feet in reality) = 3 inches / 5 feet

We know that the length of the actual bedroom is 24 feet. To find the length of the bedroom in the scale drawing, we can substitute 24 feet for the (feet in reality) in the proportion and solve for the (inches in scale drawing):

(inches in scale drawing) / 24 feet = 3 inches / 5 feet

Cross-multiplying gives:

(inches in scale drawing) = (24 feet)(3 inches / 5 feet) = 14.4 inches

Hence, the bedroom should be 14.4 inches long in the scale drawing.

To learn more about the proportion visit,

https://brainly.com/question/1496357

#SPJ1

  An object's average speed is a measurement of how quickly it moves over a predetermined amount of time. The calculation is done by dividing the overall distance travelled by the overall travel time. In other words, it reveals the average amount of distance an object has travelled per unit of time.

 In the case provided, we can apply the following calculation to get the average speed of the car:

average speed = total distance / total time

In this instance, a total of 300 kilometers was travelled while 5 hours were expended.

so, average speed = 300 km / 5 hours

                               = 60 km/h.

  This indicates that the car travels at an average speed of 60 kilometers per hour. This represents the average speed of the car's five-hour journey. Although the car may have gone faster or slower at various points throughout the course of the five hours, on average, it was moving at a speed of 60 kilometers per hour.

 Therefore, the average speed of the car is 60km/h .

To know more about average speed at :

brainly.com/question/4931057

#SPJ4

Domain of function [tex]x^3[/tex] is R(Real number) and range of function is also R.

Let's know about domain: the domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables. The domain is indicated by the fact that the fraction's denominator is not equal to zero and by the fact that the digit under the square root bracket is positive. 

Range: the range of a function is the set of all possible values for the dependent variable's outcomes, or the whole set of all possible values when the domain is substituted.

[tex]x^3[/tex]is a polynomial, which means that R is its domain, and in this case, R is also its range because the sole root that [tex]x^3[/tex] possesses.

Know more about domain:

https://brainly.com/question/13113489

#SPJ4

jill makes $10 for every hour. so she makes 10x amount of money, where x stands for the number of hours.

For every hour that Jill worked, she made $10. So, the amount of mony that jill can make can be written in the form of a linear equation. the standard equation for linear model is

y = mx + b

in this case, x shows the input, y shows the output, m shows the amount earned per hour and b would be the fixed amount she ears, which will be 0 in this case.

therefore, the amount of money she earns will be

y = 10x

A continuous response variable is portrayed in linear models as a function of one or more predictor variables. They can assist you in analyzing experimental, financial, and biological data, understanding and predicting the behavior of complex systems. A statistical technique used to construct a linear model is linear regression.

Learn more about linear model here:

https://brainly.com/question/29122305

#SPJ4

There are 3060 ways to place 20 identical apples into 6 distinguishable boxes.

Here we have been given that there are 20 apples that are identical in nature but distinguishable boxes.

Now we see that there have to be at least 2 apples in every box.

Now the formula for combination things states that when n number of similar objects need to be placed in x  distinguishable things where at least a number of things must be placed is

ⁿ ⁻ ᵃCₓ ₋ ₐ

here n = 20

x = 6

a = 2

Hence we get

²⁰ ⁻ ²C₆ ₋ ₂

= ¹⁸C₄

= 18! / (14! X 4!)

= (18 X 17 X 16 X 15)/4 X 3 X 2

= 3 X 17 X 4 X 15

= 3060 ways

To learn more about Combination visit

https://brainly.com/question/29110744

#SPJ4

A transversal is a third line that crosses two other lines.

Lines on a plane that do not intersect are considered parallel lines in geometry. It is referred to as being parallel when two straight lines in a plane do not cross at any point.

Eight distinct angles may be obtained by drawing two parallel lines, a line across them, and then another line through that.

A key mathematical ability that calls for conceptual comprehension and clarity is the angles form. Worksheets on angles generated by parallel lines and transversals provide a variety of activities and problems based on angles that can aid students in learning about angles.

Correct question: What is the angles formed by a transversal called?

To know more about angles visit: brainly.com/question/28451077

#SPJ4

The space left for the sand is  [tex]5\frac{3}{10}[/tex] square yards.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

Operands: An operation uses operands, which are numbers. Depending on the type of operation, different terms are applied to the operands.

Given the total space for beach play = [tex]8\frac{2}{5}[/tex] square yards

 [tex]8\frac{2}{5}[/tex] square yards = 42/5 square yards

and space for water = [tex]3\frac{1}{10}[/tex] square yards

[tex]3\frac{1}{10}[/tex] square yards = 31/10 square yards

let us assume the rest of the area for the sand

area of sand = total area - space for water

area of sand = 42/5 - 31/10

area of sand = (42(2) - 31)/0

area of sand = (84 - 31)/10

area of sand = 53/10

area of sand = [tex]5\frac{3}{10}[/tex] square yards

Hence the space left is  [tex]5\frac{3}{10}[/tex] square yards.

Learn more about Mathematical operators;

https://brainly.com/question/8959976

#SPJ1

The value of the expression given is undefined when x equals 2 and -2.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

(14+x)/(x^(2)-4)

This can be written as,

[tex]\frac{14+x}{x^{2} -4}[/tex]

The value of the expression is undefined when the denominator equals 0.

Denominator is [tex]x^{2} -4[/tex].

[tex]x^{2} -4[/tex] = 0

[tex]x^{2}[/tex] = 4

x = √4

x = ± 2

Hence when the value of x is +2 or -2, the expression is undefined.

Learn more about Expressions here :

https://brainly.com/question/14083225

#SPJ1

Answer:

it can't be rounded so the answer is just 202

Step-by-step explanation:

The length of the base to the nearest inch is 37 inches

Given the following parameters from the questions:

Height of the ramp = 10in

angle of elevation = 15degrees

Using the SOH CAH TOA identity

tan 15 = opp/adj

tan 15 = 10/B

B = 10/tan15

B = 10/0.2679

B = 37 inches

Hence the length of the base to the nearest inch is 37 inches.

To learn more about Angle of elevation refer to:

https://brainly.com/question/88158

#SPJ1

The sample consists of 949 elderly people and the population is all elderly people.

A sample is a random group chosen to represent the complete population. Based on the characteristics of the sample, conclusions about the population are drawn in statistical analysis. The complete collection of people or objects of interest is referred to as a population. It is the collection of all components or individuals who share a characteristic, such as all seniors or all depressed individuals. Usually, the sample size is larger than the population size.

According to research, depression considerably raises the risk of dementia in a given situation. Consider the possibility that research of 949 senior people found that 22% of those who experienced depression went on to develop dementia, compared to only 17% of those who did not. As a result, the population is made up entirely of the elderly, and the sample consists of 949 of them.

Read more about sample on:

https://brainly.com/question/28196409

#SPJ4

The value of k for which the roots of the equation are real and equal is k = b^2/4a.

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x represents an unknown. It is a type of polynomial equation, with the degree of the polynomial being 2. The solutions to a quadratic equation can be found using the quadratic formula, which involves taking the square root of the coefficient of x^2 and then subtracting the coefficient of x from both sides of the equation. Quadratic equations are commonly used in science, engineering, and mathematics.

The roots of any quadratic equation ax^2 + bx + c = 0 are real and equal when the discriminant, b^2 - 4ac, is equal to zero. This can be written as b^2 = 4ac, or b^2/4a = c. Therefore, the value of k for which the roots of the equation are real and equal is k = b^2/4a.

To know more about quadratic equation click-
https://brainly.com/question/1214333
#SPJ4

The equation of line passing through (-1, 4) and parallel to y = 2x + 1 is y = 2x + 6.

In the given equation, we have to find the equation of the line passing through (-1, 4) and parallel to y = 2x + 1.

The given equation of line is y = 2x + 1.

The given points (x(1), y(1)) = (-1, 4)

The equation of line in the slope intercept form is y = mx + c, where m is the slope of the line and c is the y-intercept of the line.

The slope of the given line y = 2x + 1 is m = 2, on comparing to the general equation of the line.

The equation of the line that passes through the point (x(1), y(1)) is:

y - y(1) = m(x - x(1))

Now putting the value in the formula

y - 4 = 2(x - (-1))

Now simplifying the equation,

y - 4 = 2(x + 1)

Using distributive property to simplify the equation

y - 4 = 2x + 2

Add 4 on both side, we get

y = 2x + 6

Hence, the equation of the line passing through (-1, 4) and parallel to y = 2x + 1 is y = 2x + 6.

To learn more about equation of a line link is here

brainly.com/question/29774095

#SPJ4

The complete question is:

What is the equation of the line passing through (-1,4) and parallel to y=2x+1 ?

The statement 2 over 3 times 5 over 8 is [2/(3×5)]/8 which is equal

to 16 over 15.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A fraction [2/(3×5)]/8 which is,

=  {2/(3×5)/8}.

= {2/(15)/8}.

Now, Numerator 8 will multiply to numerator 2 which is,

= (2×8)/15.

= 16/15.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ1

Answer:

4

Step-by-step explanation:

8+(2x3)-6=8

8/2=4

Answer: Correct Answer Is:11

Step-by-step explanation: I Use Calculator To Help

In general F^-1(f(x))=f(f^-1(x)) wherein f^-1(x) is the inverse of f(x).

Function is a process or activity that fulfills a specific purpose or set of requirements. It is a building block of programming and can be used to create various types of applications. Functions allow coders to modularize their code and make it easier to debug and maintain. Functions can also be used to process data, perform calculations, and display outputs.

It is a mathematical law which states that if a function f(x) has an inverse function then the composition of the function with its inverse should be equal to the original function. This law is also known as the Involution Law or the Composition Law of Inverse Functions.

The Involution law or the Composition law of inverse functions is a fundamental law of mathematics. This law states that for any function f(x) which has an inverse function, f^-1(x), the composition of the function with its inverse should be equal to the original function. That is, F^-1(f(x))=f(f^-1(x)). This law is important as it helps to understand the relationship between the original function and its inverse. This law is useful in solving various mathematical problems and in understanding various mathematical concepts such as differentiation and integration.

To know more about function click-
https://brainly.com/question/25638609
#SPJ1

Answer: c is 8

Step-by-step explanation: c has to multiply 8 into 89-25 which is 64. 64/8 equals 8

Answer:

c=8

Step-by-step explanation:

i hope this helps have a good day!

Answer:25/18y^7x

Step-by-step explanation:(Multiply the numerator by the reciprocal of the denominator.)

20x^-4/27y^2*15y^-5/8x^-3

then simplify

20*15/27y^7(8x)

cancel the common factor and you will get the answer

Answer: 4 Hours & 55 Minutes

Step-by-step explanation:

10:50 to 11:50 (1 hour)

11:50 to 12:50 (1 hour)

12:50 to 1:50 (1 hour)

1:50 to 2:50 (1 hour)

2:50 to 3:50 = 1 hour

1 hour = 60 minutes

3:45 to 3:50 is five minute difference

60 - 5 = 55

Therefore, it would be 4 hours and 55 minutes.

The following are the measures of the vertical angles:

m∠EBF = m∠ABC = (3x + 15)° {vertical angles}

(3x + 15)° + (20x - 10)° + 60° = 180° {supplementary angles}

23x + 65° = 180°

x = (180° - 65)/23 {make x the subject}

x = 5

so;

m∠EBF = 3(5) + 15 = 30°

m∠ABC = m∠DBE = (2x + 14)° {vertical angles}

(2x + 14)° + (3x - 1)° = 180° {supplementary angles}

5x + 15° = 180°

x = (180° - 15)/5 {make x the subject}

x = 33°

so;

m∠ABC = 2(33) + 14° = 80°

m∠DBE = m∠CBG = (5x + 5)° {vertical angles}

(5x + 5)° + (x + 48)° + 55° = 180° {supplementary angles}

6x + 108° = 180°

x = (180° - 108°)/6 {make x the subject}

x = 12

so;

m∠EBF = 5(12) + 5 = 65°

m∠ABG = m∠EBG = (137 - 2x)° {vertical angles}

(137 - 2x)° + (5x)° + 25° = 180° {supplementary angles}

3x + 162° = 180°

x = (180° - 162)/3 {make x the subject}

x = 6

so;

m∠EBF = 137 - 2(6) = 125°

Therefore, the vertical angles m∠EBF, m∠ABC, m∠DBE, and m∠ABG have the measures 30°, 80°, 65°, and 125° respectively.

Know more about angles here: https://brainly.com/question/68367

#SPJ1

The numerator (top) and denominator (bottom) of a fraction are said to be in their simplest form when they share no factors. Example :

-6s-2/-3(84)²

ac/bc = a/b

Example :

-6s-2/-3(84)²

-6s-2/-3(84)^2 = 0

-6·s-2/-3·(84)^2 = 0

6s = 4704

s = 4704/ 6  = 784

s = 784.

To Learn more About  fraction  Refer To:

https://brainly.com/question/78672

#SPJ1

Answer:

Step-by-step explanation:

let Josh's current age be x.

2+ 25 times his current age= 25x+2

25x+2=77

25x= 77-2

     = 75

x= 75/25

 =3

Heya! Quick answer/step by step:

Add like terms.  5b^2 is not a like term, no other numbers finish in "b^2".  -3b + 2b = -1b or -b, either one is correct.  2 - 4 = -2.   So you would get...

5b^2 + (- b) + (- 2)

Hope that helps!

When a parallelogram is reflected in an axis, the resulting image is also a parallelogram, with the same area and opposite angles.

To learn more about parallelograms refer to:

https://brainly.com/question/970600

#SPJ1