100 Points! Geometry question. Photo attached. Determine whether each pair or figures is similar. If so, write the similarity statement and scale factor. If not, explain your reasoning. Please show as much work as possible. Thank you!

Assuming the curve is

y = cos(x) - √3 sin(x)

differentiate once to get dy/dx, which gives the slope of the tangent line to y at some point x. The derivative is

dy/dx = -sin(x) - √3 cos(x)

The tangent line is horizontal when the derivative is 0, so you end up having to solve

-sin(x) - √3 cos(x) = 0

sin(x) = -√3 cos(x)

sin(x)/cos(x) = tan(x) = -√3

x = arctan(-√3) + nπ

(where n is an integer)

x = -arctan(√3) + nπ

x = -π/3 + nπ

You get two solutions in the interval [0, 2π] when n = 1 and n = 2, for which

x = 2π/3   or   x = 5π/3

Answer:

Substitute x for 8

23-8=15

Stay safe now,

evancorral7

Pls Give Brainliest

Answer:

\( \huge{ \bold{y = - 43x - 25}}\)

Step-by-step explanation:

Equation of a line in slope-intercept form is given by

\(y = mx + c\)

where

m is the slope

c is the y intercept

From the question

m = - 43

In order to find c we substitute the point (0,−25) into the equation y = mx + c

That's

\( - 25 = - 43(0) + c \\ - 25 = 0 + c \\ c = - 25\)

We now substitute m and c into the equation

We have the final answer as

\( \bold{y = - 43x - 25}\)

Hope this helps you

Step-by-step explanation:

Whole numbers = Natural numbers + "0"

Integers = Whole numbers + Negative counterparts

Since the set do contains negative numbers, only Rational numbers and Integers are correct. (D)

Answer:

t is between 0 seconds and 4.878

Step-by-step explanation:

Given:

Inequality: \(-4.9t^2 + 22t + 0.75 > 10\)

Required

Determine the value(s) of t

To answer this question, we simply solve the inequality

\(-4.9t^2 + 22t + 0.75 > 10\)

Subtract 10 from both sides

\(-4.9t^2 + 22t + 0.75 - 10> 10 - 10\)

\(-4.9t^2 + 22t -9.25> 0\)

Multiply through by -1

\(4.9t^2 - 22t + 9.25 < 0\)

Solve the value of t using quadratic formula

\(t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}\)

Where

a = 4.9; b = -22 and c = -9.25

So:

\(t = \frac{-(-22) \± \sqrt{(-22)^2 - 4 * 4.9 * -9.25}}{2 * 4.9}\)

\(t = \frac{22 \± \sqrt{484 + 181.3}}{9.8}\)

\(t = \frac{22 \± \sqrt{665.3}}{9.8}\)

\(t = \frac{22 \± 25.80}{9.8}\)

Split the expression

\(t = \frac{22 + 25.80}{9.8}\)    or      \(t = \frac{22 - 25.80}{9.8}\)

\(t = \frac{47.8}{9.8}\)    or     \(t = \frac{-3.8}{9.8}\)

\(t = 4.878\)   or  \(t = -0.388\)

Since t cannot be negative; Then

\(t < 4.878\)

Hence; t is between 0 seconds and 4.878

Answer:

c

Step-by-step explanation:

gg

Answer:

it's b, it says I need to write 20 characters so here haha

Answer:

Can you give a picture of what we are answering

Step-by-step explanation:

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

The polynomial function is P(x) = x^3(x + 1)^3(x -1)

The zeros of the polynomial and the multiplicities are given as:

The degree is given as

Degree = 7

The polynomial is represented as:

P(x) = (x - zero)^multiplicity

Using the above format, we have

P(x) = (x + 1)^3(x - 0)^3(x -1)

This gives

P(x) = x^3(x + 1)^3(x -1)

Hence, the polynomial function is P(x) = x^3(x + 1)^3(x -1)

Read more about polynomial function at

https://brainly.com/question/2833285

#SPJ1

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

To learn more about triangle refer the below link

https://brainly.com/question/17335144

#SPJ1

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

For more such questions on graphing visit:

https://brainly.com/question/19040584

#SPJ8

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

The order of the element a in the factor group g/h is the smallest positive integer n such that a^n is in the subgroup h.

In mathematics, the concept of a group is used to describe a set of elements with a binary operation that satisfies certain properties. The binary operation could be addition, multiplication, or some other operation.

In other words, the order of an element a in a factor group g/h is the smallest number n such that when the element a is multiplied by itself n times, the result is an element in the subgroup h.

The order of an element provides information about the cyclic structure of the group and can be used to determine important properties of the group, such as its structure and size.

To learn more about integer click on,

https://brainly.com/question/14378432

#SPJ4

The probability that a worker selected at random makes between $300 and $350 is 0.1359 Or 13.6%.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

Given, Weekly wages at a certain factory are normally distributed.

Mean(\(\overline{x}\)) = 400, S.D(\(\sigma\)) = 50.

Now, Since the wages are normally distributed we know,

\(z = \frac{x - \overline{x}}{\sigma}\).

Therefore,

z = (300 - 400)/50.

z = - 2.

And

z = (350 - 400)/2.

z = - 1.

Now, from the z-table,

P(z ≤ - 2) = 0.0228 and P(z ≤ - 1) = 0.1587.

Combining the two we have P( - 2 ≤ z ≤ - 1) =  0.1587 - 0.0228.

P( - 2 ≤ z ≤ - 1) = 0.1359.

As a result, the likelihood that a randomly chosen employee will earn between $300 and $350 is 0.1359, or 13.6%.

learn more about normal distributions here :

https://brainly.com/question/29509087

#SPJ1

Answer:

72

Step-by-step explanation:

Cut the square into two equal triangles along the diagonal

You know that half of the diagonal is 6 so multiply that by 2 to get 12 which is the hypotenuse of your triangles

Then use the pythagorean theorem to solve for the sides

a^2 + b^2 = 12^2

a^2 + b^2 = 144

Since the original shape was a square both sides a and b are equal

a^2 = b^2

a^2 + a^2 = 144

2a^2 = 144

a^2 = 144/2

a^2 = 72

a = \(\sqrt{72}\)

Since a = b then a = \(\sqrt{72}\) =b

Multiply both sides a and b to get the area of the square

\(\sqrt{72}\) * \(\sqrt{72}\) = 72

Answer:

1

Step-by-step explanation:

\(4 \times 4 - 5 \times 3\)

\(16 - 15 = 1\)

Answer:

1

Step-by-step explanation:

Answer:

c = 24 can i get brainliest

Step-by-step explanation:

Answer:

1. f. System of Equations

2. e. No solutions

3. i. One solution

4. h. Like Terms

5. b. Substitution

6. c. Solution

7. a. Elimination

8. d. Infinitely Many Solutions

9. g. Variable

10. j. Coefficients

Step-by-step explanation:

Ur welcome :)

The monthly Payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.

The monthly payment of a 2-year loan of $1590 with 9% interest which needs to be repaid in 254 equal monthly installments, we need to use the loan repayment formula. The formula is given as:

Monthly Payment = (Loan Amount x Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Here,

Loan Amount = $1590

Interest Rate = 9% per annum

Time = 2 years = 24 months

number of Months = 254 (as there are 254 monthly installments)

First, we need to calculate the Monthly Interest Rate using the following formula:

Monthly Interest Rate = Annual Interest Rate / 12

The Annual Interest Rate is 9%,

so the Monthly Interest Rate is:  Monthly Interest Rate = 9 / 12 = 0.75%Putting the given values into the loan repayment formula,

we get: Monthly Payment = (1590 x 0.0075) / (1 - (1 + 0.0075)^(-254))= 11.92 (approx)

Therefore, the monthly payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.

For more questions on Payment .

https://brainly.com/question/25792915

#SPJ8

Answer: (2, -2)

Step-by-step explanation:

\(\left(\frac{2+2}{2}, \frac{3-7}{2} \right)=(2,-2)\)

Answer:

21 times

Step-by-step explanation:

Given

\(P(3) = 50 \%\)

\(n =42\)

Required

The least number of times to land on 3

This is calculated using:

\(Least = n * P(3)\)

\(Least = 42 * 50\%\)

\(Least = 21\)

Answer:

21 times

Step-by-step explanation:

Correct on plato

Answer:

Point Form (in graph) : ( 7 /2 , 3 )

Equation Form: x = 7/ 2 , y = 3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

( 7 /2 , 3 )

Step-by-step explanation:

Answer:

(59.95n + 99.99) < 89.95n

Step-by-step explanation:

If the ticket office sells individual tickets for $89.95 each

Cost of 'n' number of tickets sold = $89.95n

If the ticket office offers a group rate of $59.95 each plus a one time fee = $99.99

Cost of tickets in a group with 'n' members = $(59.95n + 99.99)

If group rate is cheaper than the individual rate, the inequality will be,

(59.95n + 99.99) < 89.95n

option D is the correct answer. The length of the corresponding side in polygon D is 2 inches.

As it is given that the polygon is similar

That means that the ratio of the perimeter of the polygon will be equal to the ratio of the corresponding sides.

perimeter of polygon C/Perimeter of polygon D = side of C/side of D

⇒ 192/48=8/length of the corresponding side(let us consider x)

⇒ 192/48=8/x ⇒ x = 8*48/192 = 2 inches.

Hence, the length of the corresponding side in Polygon D is 2 inches.

Therefore, option D is the correct answer.

learn more about polygon here:

https://brainly.com/question/10441863

#SPJ9

Answer:

19/20 , 1 1/4 , 1 4/5

Step-by-step explanation:

1.8 = 1 4/5 (fraction)

1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5

1.25 = 1 1/4 (fraction)

1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4

0.95 = 19/20 (fraction)

0.95 converts to 95/100. This can be simplified to 19/20

Ascending Order (smallest to largest)

smallest - 19/20

middle - 1 1/4

largest - 1 4/5

I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure