Given a regular octagon and a regular nonagon, which one has the greater interior angle?(Type your answer as the name of the polygon)

At the airport, the new runway will be parallel to a nearby highway. The equation that represents the highway is 6y = 8x - 11. Which equation could represent the new runway?



A. 9y = 12x + 5

B. 9x = 12y + 8

C. 12y = -9x + 2

D. 12x = -9y + 4

______________________________________________________

Parallel equations have the same slope

6y = 8x - 11

y= 8/6 x - 11/6

y= 4/3 x-11/6

y = m x +b (m is the slope )

_____________________________________________

You need to find the other equation with the same slope

____________________________

A. 9y = 12x + 5

y = 12/ 9 x + 5/9

y = 4/3 x + 5/9

_________________________

B. 9x = 12y + 8

12 y= 9x-8

y= 9/ 12 x- 8/12

y= 3/4 x - 4/6

discarded

________________________

C. 12y = -9x + 2

y = -9/12 x + 2/12

y = -3/4 x + 1/6

discarded

_________________________

D. 12x = -9y + 4

12x -4 = -9y

y = -12/9 x +4/9

y = -4/3 x+4/9

discarded

_______________

So then, A 9y = 12x + 5 is the equation that could represent the new runway because is parallel to the highway 6y = 8x - 11.

ANSWER:

EXPLANATION:

Given:

To find:

The domain and the range

Recall that the domain of a function is the set of possible input values for which the function is defined.

To determine the domain of a function from a graph, we consider the possible x-values from left to right.

So the domain of the given function can be written as;

The range of a function is the set of possible output values.

To determine the range of a function from a graph, we consider the possible y-values from the bottom to the top.

So the range of the given function can be written as;

Let's begin by listing out the information given to us:

The height of the door frame is 6.5 feet. To convert to inches, we have:

The set of points that represents a dilation from the origin of triangle RST are: D. R'(0 , 8), S'(8 , 36), T'(16, 8).

In Mathematics, dilation is a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

For the given coordinates of triangle RST, the dilation with a scale factor of 4 from the origin (0, 0) or center of dilation should be calculated as follows:

Point R (0, 2) → Point R' (0 × 4, 2 × 4) = Point R' (0, 8).

Point S (2, 9) → Point S' (2 × 4, 9 × 4) = Point S' (8, 36).

Point T (4, 2) → Point T' (4 × 4, 2 × 4) = Point T' (16, 8).

In conclusion, the other sets of points do not represents a dilation from the origin of triangle RST.

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As of the given condition ordered pair in the option D  R'(0 , 8), S'(8 , 36), T'(16, 8), represents the dilated coordinates of the former triangle.

Given that,
Coordinates of the triangle, R(0 , 2), S(2 , 9), and T(4 , 2).
The scale factor for the dilation = 4

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
According to the question,
The dilated coordinate is given as,
R' = (0×4 , 2×4) = (0, 8)
S' = (2×4, 9×4) = (8, 36)
T' = (4×4, 2×2) = (16, 8)

Thus, As of the given condition ordered pair in the option D  R'(0 , 8), S'(8 , 36), T'(16, 8), represents the dilated coordinates of the former triangle.

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Answer:

translated 8 units down and then reflected across the y-axis

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given functions.

STEP 2: Explain the transformation that occurs

What are Vertical Stretches and Shrinks?

While translations move the x and y intercepts of a base graph, stretches and shrinks effectively pull the base graph outward or compress the base graph inward, changing the overall dimensions of the base graph without altering its shape. When a graph is stretched or shrunk vertically, the x -intercepts act as anchors and do not change under the transformation.

This can be explained further as:

For the base function f (x) and a constant k > 0, the function given by:

Hence, the transformation from the graph is a vertical shrinking by 1/3 factor and the equation that represents h in terms of x is given as:

Answer:

2 x [tex]10^{35}[/tex]

Step-by-step explanation:

7 ÷ 3 is about 2

[tex]\frac{10^{25} }{10^{-10} }[/tex] = [tex]10^{35}[/tex]  When you are dividing powers with the same bases, you subtract the exponents

25 - -10 = 25 + 10 = 35

26.219 Miles in 128 minutes.

First we have to convert miles to km:

Since 1 mile = 1,609 km

26.219 x 1,609 = 42,041.561 km

Then divide the distance by the time:

42,041.561/ 128 = 192.85 km per minute

Answer:

See image

depending on what is in the numerator of your question:

24 OR 15 SEE IMAGE!

Step-by-step explanation:

f(48) just means to use 48 in place of x in your work.

f(x) = 12 + x/4

f(48) = 12 + 48/4

Hopefully, your text/worksheet/screen is clear on which problem you are doing.



Answer:

I am assuming you are looking for the x-intercepts and y-intercepts...here they are.

x-intercepts: (-7/2,0) , (-1,0) , (4,0)

y-intercepts: (0,-5)

Hope this helps...if not, please expound your question more.

Answer:

The exact perimeter of the square is;

Explanation:

Given the square in the attached image.

The length of the diagonal is;

Let l represent the length of the sides;

The perimeter of a square can be calculated as;

Therefore, the exact perimeter of the square is;

we have that

Costs that stay the same from week to week or month to month

-savings for college

-Rent

Costs that cannot be adjusted within a budget

-Car insurance

-Health care

Costs that can be adjusted within a budget

-cell phone

-gasoline

-hair cut

-Groceries

We will assume the next table to answer this question (a linear function) (since the data in the question is not clear):

Having this information, we can find the slope using the formula for it:

If we pick up from the table the next points:

x1 = 1, y1 =6

x2 = 2, y2 = 8

Then

We can use the slope-point formula to find the y-intercept. We can use the point (3, 10). Then, we have:

We end up with the slope-intercept formula for the line. Then the y-intercept is 4. In other words, if we have x = 0, then y = 4.

Then the slope for the values represented in the proposed table is m = 2, and the y-intercept is y = 4.

Question:

There are 9.75 ounces of Cinnamon Toast Crunch in a bowl. Additional cereal is poured into the bowl at a rate of 1.5 ounces per second. How many ounces are in the bowl after 3 seconds?

Solution:

If additional cereal is poured into the bowl at a rate of 1.5 ounces per second, then in 3 seconds the additional cereal into the bowl is 1.5x 3 = 4.5 ounces. Thus after 3 seconds, the bowl has the original amount that it already had and the new aggregate:

9.75 ounces + 4.5 ounces = 14.25

then, the correct answer is:

14.25

Given:

a graph of the inequalities is given.

Find:

we have to find the correct inequalities.

Explanation:

From the graph , it is observed that the value of y > x and y < 4,

Therefore, the correct inequalities are y > x,

y < 4.

Hence, correct option is A.

ANSWER

a = 16

EXPLANATION

To solve for a we have to add 3 on both sides of the equation:

hi,

x - (5 - 3x) = 2x - 1

x - 5 + 3x = 2x - 1

x - 2x + 3x = -1 + 5

2x = 4

x = 4/2

x =< 2

The result is letter A, the first choice

The last statement would be true, because you would convert 7/12 into a fraction and 15/24 into a fraction. From their fraction eyes to State you would turn them into decimals and then percentiles.

Answer:

D: They are both the same

Step-by-step explanation:

I took the test

Given :

a charity received a donation of $19.4 million

Which represents 43% of the charity funds

Let the total funds = x

So,

43% of x = 19.4 million

So,

Rounding to the nearest million ,

The answer is : total donated funds = 45 million

We are given a rhombus shape.

The measure of angle ∠1 = 160°

Recall that in a rhombus, the oppsite angles are equal, this means ∠1 = ∠2

So, ∠2 = 160°

Recall that the sum of all four interior angles in a rhombus must be equal to 360°

The diagonal line divides the angles in half.

This means that angle 3 and angle x are equal.

Since we know that ∠3 and ∠x are equal then

∠3 = 10° and ∠x = 10°

Therefore,

∠2 = 160°

∠3 = 10°

Answer:

Given to solve,

From the rules for limits, we can see that for any polynomial, the limit of the polynomial when x approaches a point k is equal to the value of the polynomial at k.

The given function of the limit is a quadratic function, the limit of the quadratic equation when x approaches a point -1 is equal to the value of the quadratic equation at -1.

we get,

Answer is : 0

The probability that 2 girls and 2 boys are selected is given by:

Therefore, the correct choice is option D) 3/7.

The slope is 2.

The y-intercept is 5 or (0, 5)

See graph below

Given:

y = 2x + 5

To find:

the slope, y-intercept, and plot a graph

To determine the slope and y-intercept, we will use the equation of line formula:

y = mx + b

m = slope

b = y-intercept

Comparing both equations:

y = y

2x = mx

m = 2

The slope = 2

5 = b

The y-intercept = 5

To plot the graph, we will assign values to x in order to get values to y that will be plotted:

let x = -4, 0, 4

when x = -4

y = 2(-4) + 5 = -3

when x = 0

y = 2(0) + 5 = 5

when x = 4

y = 2(4) + 5 = 13

Plotting the points:

Each line on the graph represents 1 unit

Answer:

The equation f(x) = a(1 + r)x can also be used to compute exponential growth, where:

The function is represented by the word f(x).

The initial value of your data is represented by the a variable.

The growth rate is represented by the r variable.

Time is represented by the variable x.

The numerical length of the line segment RT is 6.

Length:

Length is the measuring unit used to identifying the size of an object or distance from one point to the other.

Given,

There is a point on the line segment RT.

And the values of the pots are,

RT = 3x, RS = 3x - 5 and ST = 3x - 1.

Now we need to find the length of the line segment RT.

To find the line of the line segment RT,

We have to add the length of the segments,

That can be written as,

=> RT = RS + ST

Now, we have to apply the values of the point to the equation, then we get,

=> 3x = 3x - 5 + 3x - 1

=> 3x = 6x - 6

=> 6x - 3x - 6

=> 3x - 6

=> 3x = 6

=> x = 2

If the value of x is 2, then the length of the line segment RT is,

RT = 3x => 3 x 2 = 6

Therefore, the length of the line segment RT is 6.

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Given,

y = 2x/x - 3

to solve this,

let's equate the denominator to 0

so,

y = 2x/0

this means undefined

recall,

Domain is the set of all possible values of x. Since the function is undeined when the denominator is zero, the domain is the set of all real numbers except the value which will make the denominator zero

so the domain for the function y = 2x/x - 3

is x is not equal to 3

therefore, the correct option is

S= (-4, 1 ]

1) Solving that compounded inequality

4x +6 > -10 and -8x+7 ≥ -1

2) Let's start by 4x +6 > -10

4x +6 > -10 Subtracting 6 from both sides

4x > -10-6

4x > -16 Dividing both sides by 4

x > -4

And with -8x+7 ≥ -1

-8x+7 ≥ -1 Subtract 7 from both sides

-8x ≥ -1 -7

-8x ≥ -8 Multiply by -1

8x ≤ 8

x ≤ 1

3) Graphing the solution interval:

So the solution is the interval S= (-4, 1 ] not including x= -4 and including the value x = 1

Given:

The terms is

Required:

What is the missing coefficient of the x-term of the product after it has been simplified?

Explanation:

We have to find the missing coefficient of the x term of the given product

We know

So,

Therefore, the missing coefficient of the x-term is 10.

Answer:

Therefore, the missing coefficient of the x-term is 10.

a)

A washer will be formed

b)

A cone will be formed

C)

A sphere will be formed

We have the following:

replacing when x is 2: