Is it possible for polygon ABCDE to be dilated to figure VWXYZ? Explain yourreasoning.

The equation of a line through the origin and (-5,6) is y =  -1.2x

It is important to note that the equation of a line is expressed as;

y = mx + c

Where;

From the information given, we have the points;

(0, 0) and ( -5, 6)

The formula for slope is given as;

slope, m = y₂ - y₁/ x₂ -x₁

slope, m = 6 - 0/ -5 - 0

slope, m = 6/ -5

slope, m = - 1. 2

To determine the intercept, we have;

6 = -1. 2(-5) + c

expand the bracket

c = 6 - 6

c = 0

The equation is given as;

y = -1.2x

Hence, the equation is y = -1.2x

Learn more about equation of a line here:

https://brainly.com/question/13763238

#SPJ1

Answer:

x = 35°

Step-by-step explanation:

Hello!

The sum of the two angles is 90°, so if we set the sum of the two angles to 90, we can solve for x.

The value of x is 35°.

Answer:

(if am not wrong)

ANSWER

EXPLANATION

We want to find the expression that best represents the measure of the interior angle of a regular polygon with n sides.

The general formula for finding the total angle in a regular n sided polygon is given as:

Therefore, to find the measure of each interior angle of the polygon, we have to divide the total angle by the number of sides.

That is:

Hence, that is the expression that best represents the measure in degrees of the interior angle of a regular polygon having n sides.

GIVEN:

We are given a frequency distribution table showing different classes of hours of study and the frequency of each class of data.

Required;

To determine the relative frequency for the third class

Step-by-step solution;

For a relative frequyency, we need to find the number of times an event occurs and express it as a fraction of the total events that occured in the survey/experiment.

The events in this case are hours of study and the occurrence is the total frequency for all classes of hours of study.

The total frequency is;

The relative frequency for the third class therefore would be;

ANSWER:

The relative frequency of the third class therefore is

Answer:60 and 80

Step-by-step explanation:

The lengths of the major and minor axis of the ellipse, [tex] \displaystyle{ \frac{ {(x - 3)}^{2} }{12} +\frac{ {(y + 4)}^{2} }{24} = 1}[/tex] are;

An ellipse describes the locus of a point on a curve, such that the sum of the distance from two focal points from the points on the curve is a constant.

The given given function of the ellipse can be presented as follows;

[tex] \displaystyle{ \frac{ {(x - 3)}^{2} }{12} +\frac{ {(y + 4)}^{2} }{24} = 1}[/tex]

The above equation can be compared to the standard equation of an ellipse as follows;

[tex] \displaystyle{ \frac{ {(x - h)}^{2} }{ {b}^{2} } +\frac{ {(y - k)}^{2} }{ {a}^{2} } = 1}[/tex]

Where;

(h, k) = The coordinates of the center of the ellipse

a = The length of the semi major axis

b = The length of the semi minor axis

By comparison, we have;

(h, k) = (3, -4)

a = √(24) = 2•√6

b = √(12) = 2•√3

The length of the major axis = 2•a

The length of the minor axis = 2•b

The length of the major axis is therefore;

2•a = 2 × 2•√6 = 4•√6

The length of the minor axis is therefore;

2•b = 2 × 2•√3 = 4•√3

Learn more about the equation of an ellipse here:

https://brainly.com/question/23778726

#SPJ1

Answer:

The meal cost $14.51 per person.

Step by step explanation:

Meal cost: 46.72

Sales tax: 8%

Then.

then we take out 8% of the value

Tip : 15% (meal and sales tax)

There are 4 people.

Answer:True

Step-by-step explanation:Graphs show information about information  about the topic you are reading\researching so true they show you a lot of info on the topic.

Answer:True

Step-by-step explanation:Graphs show information about information  about the topic you are reading\researching so true they show you a lot of info on the topic.

Answer: 8/15

Step-by-step explanation:

2/3 x 4/5, multiply numerators and denominators

8/15 or 0.533

Using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.

So, more pink sand is available to each girl:

Sand available to each girl:

Pink sand more to each girl:

Therefore, using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.

Know more about mathematical operations here:

https://brainly.com/question/28937023

#SPJ13

Answers:

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

Explanation:

Question 1

27x^6 = (3x^2)^3 which is one cube and y^3 is another cube

Therefore 27x^6+y^3 is a sum of two cubes.

It might help to think of it like A^3+B^3 where in this case A = 3x^2 and B = y.

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

Question 2

81 isn't a perfect cube since 81^(1/3) = 4.3267 approximately, which isn't a whole number. We need 81^(1/3) to be a whole number if we wanted 81 to be a perfect cube.

We don't even need to check b^15 since 81 being a non-perfect cube means the entire expression cannot be a sum of two cubes, nor a difference of cubes.

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

Question 3

64x^3 = (4x)^3 is a perfect cube

but 9z^9 is not a perfect cube

We can see this if we computed 9^(1/3) and the result is a non-whole number.

The answer here is the same as the previous question.

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

Question 4

36^(1/3) is not a whole number, so 36 isn't a perfect cube. By extension  36m^12 isn't a perfect cube either. The answer is the same as questions 2 and 3.

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

Question 5

1 is a perfect cube since 1 = 1^3

d^12 is a perfect cube because d^12 = (d^4)^3

Therefore, we have a difference of two cubes.

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

Question 6

729^(1/3) = 9 which rearranges to 9^3 = 729, showing 729 is a perfect cube.

However y^29 is not a perfect cube since the exponent 29 is not a multiple of 3.

The overall expression is "neither".

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

Question 7

343^(1/3) = 7 rearranges to 7^3 = 343, showing 343 is a perfect cube

y^6 is a perfect cube since (y^2)^3, i.e. the exponent 6 is a multiple of 3.

We have a difference of cubes.

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

Question 8

4 isn't a perfect cube since 4^(1/3) results in some decimal value that isn't a whole number. The entire expression is neither a sum nor difference of cubes.

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

Question 9

144^(1/3) isn't a whole number, so we get a similar result to problem 8.

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

Question 10

64j^6 = (4j^3)^3 is one cube

k^9 = (k^3)^3 is another cube

We have a difference of cubes

Answer:

answer of 1st picture

second is not under standing much

Answer:

Domain: (−∞,∞),{x | x ∈ R}

Range: [0,∞),{y|y≥0}

Step-by-step explanation:

Given the following data set:

[13,13,13,15,15,16,16,17,17]​

Let's determine the median.

Step 1: Arrange the data points from smallest to largest.

The set is already arranged in ascending order.

[13,13,13,15,15,16,16,17,17]​

Step 2:

a.) If the number of data points is odd, the median is the middle data point in the list.

b.) If the number of data points is even, the median is the average of the two middle data points in the list.

There are 9 data in the set, it is odd. The middle data is the 5th data.

[13,13,13,15,15,16,16,17,17]​

The 5th data is 15.

Therefore, the median of the given set of data is 15.

Answer: She can make 72 cupcakes.

Step-by-step explanation:

An average speed can be calculated from a distance time graph through the division is change in distance and change in its corresponding time.

A distance time graph is a type of graph that show the distance covered by an object with respect to time.

When plotting a distance time graph, the distance is plotted in the y-axis while time is plotted of the X -axis and a suitable scale of used to fill in the observed figures.

Speed is the product of distance travelled by an object with respect to its time. Therefore, an average speed can be calculated through the division is change in distance and change in its corresponding time.

That is ; average speed= ∆speed/∆ time

Learn more about speed here:

https://brainly.com/question/24739297

#SPJ1

Answer:

Step-by-step explanation:

study

Answer:

your answer is in the screenshot

Step-by-step explanation:

A triangle prima has six vertices. A triangular prism has five faces, three rectangular and two triangular, nine vertices, and six edges.

To learn more about triangle, refer to:

https://brainly.com/question/17335144

#SPJ13

The unit rate for the cereal is  104 calories per cup and there are 416 calories in 4 cups

From the question, the given parameters are

Calories = 78 calories

Size of cups = 3/4-cup

The unit rate of the calories per cup is calculated as

Unit rate = Number of Calories/Size of cup

Substitute the known values in the above equation

So, we have the following equation

Unit rate = 78/(3/4)

Evaluate the quotient

So, we have the following equation

Unit rate = 104

So, the unit rate is 104 calories per cup

For four cups of cereal, we have

Calories = 104 x 4

Evaluate

Calories = 416

So, the number of calories is 416 calories

Read more about unit rates at

brainly.com/question/620388

#SPJ1

For this problem we use the arcs and chords theorem we know that

Solving for x we get:

Finally, we substitute x for mDH=(11x+7) degrees=(11*15+7) degrees=172 degrees.

mDH=172 degrees.

Answer:

d = 4

Step-by-step explanation:

4d - 5 = 11

a) Subtract 5 from both sides.

-5 + 5 = 11 + 5

4d = 16

b) Divide both sides by 4.

4d/4 = 16/4

16/4 = 4

Therefore, you're answer will be 4.

The point in the feasible region maximizes the objective function is (5, 0)

The given parameters are

Objective function: C = 7x - 3y

Subject to (i.e. the constraints)

    x ≥  0, y ≥ 0

    y ≤ 1/5x + 2, 5 ≥ y + x

Next, we plot the graph of the constraints (see attachment)

This is done by entering the inequalities in a graphing calculator

From the graphing calculator, we have the feasible regions to be

(5, 0), (2.5, 2.5) and (0, 5)

Substitute (5, 0), (2.5, 2.5) and (0, 5) in the objective function: C = 7x - 3y

So, we have

(5, 0): C = 7(5) - 3(0)

C = 35

(2.5, 2.5): C = 7(2.5) - 3(2.5)

C = 10

(0, 5): C = 7(0) - 3(5)

C = -15

The value 35 is greater than 10 and -15

The coordinates at this value are (5, 0)

Hence, the coordinates is (5, 0)

Read more about objective functions at

brainly.com/question/14309521

#SPJ1

The main disadvantage of using a check cashier is that, 'You pay a higher fee to cash checks at a check casher than at a bank'

Check casher;

A check casher is someone who works in the check-cashing industry, with the exception of someone who doesn't cash checks for others on any one day that total more than $1,000 in cash, money, or other assets.

Disadvantage of Check cashers;

Fees for cash checking services can be as low as $1 or as much as 2% of the check amount depending on where you are. These costs reduce one's capacity to make ends meet or have extra money available. Always be aware of the prices and fees before using a check cashing service.

That is,

The main disadvantage of using a check cashier is that, 'You pay a higher fee to cash checks at a check casher than at a bank'

Learn more about check casher here;

https://brainly.com/question/16520246

#SPJ1

We are given:

The tangent is defined as the ratio of the sine and the cosine:

Calculating:

The cotangent is the reciprocal of the tangent:

The secant is the reciprocal of the cosine:

The cosecant is the reciprocal of the sine:

Option D which is [tex](3^{5} )^{2}/3^{4}[/tex] doesn’t have a value less than 1 .

A number's exponent demonstrates how many times we are multiplying a given number by itself. 34, for instance, indicates that we are multiplying 3 by four. 3333 is its expanded form. The power of an integer is another term for an exponent. A whole number, fraction, negative number, or decimal are all acceptable. How frequently a number is multiplied by itself is indicated by its exponent. As 2 is multiplied by itself 4 times, 2222 might be expressed as 24, for instance. The "base" in this case is 2 and the "exponent" or "power" is 4. The general definition of xn is "x multiplied by itself n times."

To now more about exponents visit:

brainly.com/question/14228369

#SPJ13