Two congruent figures, A and B, are shown on a coordinate plane below.
Ay
V
Which of these reflection(s) map figure A onto figure B?
a reflection over the line y
a reflection over the line y--
a reflection over the line xo followed by a reflection over the line x = 0
a reflection over the line xo followed by a reflection over the line y = 0

Answer:

y= -1x + 1

Step-by-step explanation:

Answer:

100°

Step-by-step explanation:

180-80=100

Answer:

Step-by-step explanation:

Note how the stretch from x = -2 to x = 7 could be regarded as the horizontal leg of a right triangle (9 units in length), and that from y = 8 to y = 13 the vertical leg (5 units in length).  We need to find the length of the hypotenuse of this triangle, using the Pythagorean Theorem:

d = √(5² + 9²) = √106, or approximately 10.3 units.

Answer:

B.

Step-by-step explanation:

So to make it look simpler, rewrite it as this:

\(\frac{4^{5} 7^{3} }{4^27^4}\)

Now, you can cross out the 4^2 and 7^3

You're left with:

\(\frac{4^3}{7}\)

The function r(x) is an example of a Pade approximation to f(x). it is not always possible to find such an approximation r(x). However,

It is not always possible to find an approximation r(x). However, the function r(x) is an example of a Pade approximation to f(x).

What is Pade approximation A Pade approximation is a technique for approximating a function using a ratio of two polynomials. This approximation is used to approximate functions that may be difficult to compute or solve exactly.

Pade approximations are often used in numerical analysis, scientific computing, and engineering to obtain accurate solutions to problems that are too complicated or expensive to solve exactly.How to find an approximation r(x) To find an approximation r(x), we need to find a ratio of two polynomials that approximates f(x).

The Pade approximation r(x) is given by the ratio of two polynomials: P(x) and Q(x). The P(x) and Q(x) are usually chosen to be of the same degree to minimize the error between the approximation and the exact value of f(x).Therefore, it is not always possible to find such an approximation r(x). However, the function r(x) is an example of a Pade approximation to f(x).

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Answer: 2.456  x 10 to the power 11

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

2.456  x 10 to the power 11

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Dividing integers is opposite operation of multiplication. But the rules for division of integers are same as multiplication rules. Though, it is not always necessary that the quotient will always be an integer.

wording credits goes to BYJUS

please give brainliest

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

The equation to represent Syreeta's situation can be written as 14x + 23 = 65, where x represents the number of CDs she wants to buy. This equation shows that the total cost of CDs and the DVD must equal $65.

To represent Syreeta's situation, we need to use an equation that relates the cost of the CDs and DVD to her total budget. We know that each CD costs $14, so the total cost of x CDs can be written as 14x. We also know that she wants to buy a DVD that costs $23. Therefore, the total cost of the CDs and the DVD can be written as 14x + 23. This expression must equal her budget of $65, so we can write the equation as 14x + 23 = 65.

To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 23 from both sides to get 14x = 42. Then, we divide both sides by 14 to find that x = 3. This means that Syreeta can buy 3 CDs and 1 DVD with her $65 budget.

In conclusion, the equation to represent Syreeta's situation is 14x + 23 = 65. By solving for x, we find that she can buy 3 CDs and 1 DVD with her $65 budget. This equation can be used to solve similar problems where the total cost of multiple items needs to be calculated.

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The probability of an event can not be more than the number 1.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1.

Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

\(\rm Probability \; of \;failure = 1-Probability\; of \;success\)

Given information-

Rina spins the spinner less than the 30 times.

A success occurs when the spinner lands on a number that is greater than 6.

A spinner is divided into 8 equals sections and the sections are labeled 1 through 8.

As the probability of success occurs when the spinner lands on a number that is greater than 6, thus the number should grater than six.

This number should be less than 30 as the spinner spins less than the 30 times.

Thus the total number of outcome of this event is,

\(=30-6\\=24\)

Thus the probability of success is,

\(P=\dfrac{6}{24} \\P=\dfrac{1}{4}\)

Hence the probability of success is 1/4.

As the probability of failure of a event is equal to the difference of the 1 to the success of the event.

Thus the probability of failure is,

\(P^-=1-P\\P^-=1-\dfrac{1}{4} \\P^-=\dfrac{4-1}{4} \\P^-=\dfrac{3}{4} \\\)

The probability of failure is 3/4.

Hence,

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Answer:

Option B)

Step-by-step explanation:

Correct on edge22

After answering the presented question, we can conclude that As a result, the equation of the straight line passing through (3,5) and having an x-intercept three times the y-intercept is: 5x - 9y = -42

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

To find a straight line's equation, we must first establish its slope and y-intercept.

\((y - 5) = m(x - 3) (x - 3)\\b - 5 = -3m\\\)

When we solve for b, we get:

\(b = -3m + 5\\5 - 5 = m(3 - 3) (3 - 3)\\0 - 5 = m(3b - 3) (3b - 3)\\-5 = 3bm - 3m\\\)

When we simplify, we get:

\(m = 5/(9b) (9b)\\\)

Substituting this expression for m in the equation for the y-intercept b results in:

\(b = -15/(9b) + 5\\9b^2 = -15b + 45b\\9b^2 - 30b = 0\\3b(3b - 10) = 0\\b = 10/3\\(y - 5) = m(x - 3) (x - 3)\\(y - 5) = 5x/(9*10) - 1/3\\9y - 45 = 5x - 3\\5x - 9y = -42\\\)

As a result, the equation of the straight line passing through (3,5) and having an x-intercept three times the y-intercept is:

5x - 9y = -42

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To improve the approximation of the slope, select secant lines that are close to horizontal and have points closer and farther away from the point of interest (p). Additionally, select secant lines that are close to vertical.

The accuracy of the approximation of the slope of a curve at a given point (p) can be improved by selecting secant lines that are close to horizontal. This can be done by defining the secant lines with points closer and farther away from point p. Additionally, selecting secant lines that are close to vertical will also help improve the accuracy of the approximation. This can be done by selecting points that are farther away from point p. By doing this, the secant lines will have a greater range in their slope, which will result in a better approximation of the slope. Additionally, selecting points closer to point p will also help to improve the accuracy of the approximation as it will provide a more precise measurement. Ultimately, the combination of selecting nearly horizontal and nearly vertical secant lines with points closer and farther away from point p will result in a more accurate approximation of the slope.

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Answer:

Step-by-step explanation:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

Answer:

y = x^2 (parabola) transformed by stretching

y = x + 3 (vertical line) transformed by shifting

y = 3x + 7 (horizontal line) transformed by stretching

y = -x + 8 (slanted line) transformed by reflecting and scaling

y = |x| (absolute value) transformed by shifting

y = x^3 + 3x^2 (cubic polynomial) transformed by compressing

y = x^2 + 1 (quadratic) transformed by reflecting and scaling

y = sqrt(x) (root function) transformed by shifting

y = x + sin(x) (sinusoidal) transformed by rotating

y = 2x + 3 (horizontal line) transformed by compressing and shifting

I can help you with your project by providing some examples of functions that can be used to draw a house using basic graphs and transformations. Here are some possible functions:

- y = 2x + 10 (slanted line for the roof)

- y = 10 (horizontal line for the top of the house)

- x = -5 (vertical line for the left side of the house)

- x = 5 (vertical line for the right side of the house)

- y = |x| - 5 (absolute value for the door)

- y = -x^2 + 10 (parabola for the window)

- y = -2 (horizontal line for the bottom of the house)

- y = 2x - 4 (slanted line for the chimney)

- y = 6 (horizontal line for the top of the chimney)

- y = -0.5x + 3 (slanted line for the smoke)

These are just some examples, you can modify them or use different functions to create your own picture. You can also use a tool like Desmos. to graph your functions and see how they look. I hope this helps you with your project.

Answer:

the third one (-2,1)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

so solving the first one we get

y=2x+5

and the second one we get

y=5x+10+1

y=5x+11

substiuting we get

2x+5=5x+11

3x=-6

x=-2

and y= 1

so it would be C

if my answer helps please mark as brainliest.

Answer:

See below

Step-by-step explanation:

See diagram

3x for x = 7/21 is equal to 1.

What is the algebra?

Algebra is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics.

Elementary algebra deals with the manipulation of variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Abstract algebra is the name given, mostly in education, to the study of algebraic structures such as groups, rings, and fields.

Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). There are many areas of mathematics that belong to algebra, some having "algebra" in their name, such as commutative algebra, and some not, such as Galois theory.

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols.

To evaluate the expression 3x for x = 7/21, we substitute x with 7/21:

3(7/21) = 7/7 = 1

Hence, 3x for x = 7/21 is equal to 1.

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Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.

Diagram is attached.

As given in the question,

Diagram is attached.

Given angle θ = 28°

Hypotenuse = x

Two points A and B is on the base

Base - length = AB

In the given triangle,

Equation represents the distance between two points is:

cosθ = base / hypotenuse

⇒ cos 28° = AB / x

⇒ AB = x cos 28°

Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.

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Answer:

$6,191.66

Step-by-step explanation:

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:

A = the amount owed after 5 years

P = the initial loan amount = $2000

r = the annual interest rate expressed as a decimal = 0.20

n = the number of times the interest is compounded per year = 2 (semiannually)

t = the number of years the loan is outstanding = 5

Plugging in these values, we get:

A = 2000(1 + 0.20/2)^(2*5)

= 2000(1.10)^10

≈ $6,191.66

Therefore, the amount owed after 5 years is approximately $6,191.66.

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0 is the exact ode.

Specifically, an exact equation is a differential equation that can be solved instantly without the aid of any specialized methods. If the result of a straightforward differentiation, a first-order differential equation (of one variable) is referred to as an exact differential or exact differential. The equation

P(x, y)dy/dx + Q(x, y) = 0,

or in the equivalent alternate notation

P(x, y)dy + Q(x, y)dx = 0,

is exact if

∂P(x, y)/∂x =  ∂Q(x, y)/∂y

In this instance, a function R(x, y) will exist whose partial x-derivative is Q and partial y-derivative is P, and whose equation R(x, y) = c (where c is constant) will implicitly establish a function y that will satisfy the initial differential equation.

An exact ODE is one where the equation can be written as  dF=0  for some  F(x,y). Expanding using chain rule, this means an equation of the form

∂1Fdx+∂2Fdy=0

Now if the second partials of  F  exist and are continuous, they must be equal due to Clairaut. So, given an equation

Mdx+Ndy=0

if we have

∂2M=∂1N

then there is an  F  such that

M=∂1F, N=∂2F

and hence that equation is exact, and the solution is simply

∫dF=0

We have

M=ax+by⇒∂2M=b

N=kx+ℓy⇒∂1N=k

so to be exact, we must have that  b=k .

Then, integrating  M  and  N , we have

F(x,y)=∫Mdx=12ax2+bxy+g(y)

F(x,y)=∫Ndy=bxy+12ℓy2+h(x)

and comparing these two, we can see that

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0

is a solution to the equation for any  a,b,c,ℓ . You can solve for  y  by quadratic methods.

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Answer:

x = 27

Step-by-step explanation:

Step 1: Write out equation

54 + 6x = 216

Step 2: Solve for x

6x = 162

x = 27

Answer:

x=27

Step-by-step explanation:

54+6x=216

Collect like terms:

6x=216-54

6x=162

Divide both sides by the coefficient of x

6x\6=162\6

x=27

In order to divide these polynomials, let's use the following property:

So we have:

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{625\times (3\times2)^3}{3^2\times10^2}}\)

\(\mathsf{= \dfrac{625\times(6)^3}{3^2\times10^2}}\)

\(\mathsf{= \dfrac{625\times(6^3)}{3^2\times10^2}}\)

\(\mathsf{= \dfrac{625\times6^3}{3^2\times10^2}}\)

\(\mathsf{= \dfrac{625\times216}{9\times100}}\)

\(\mathsf{= \dfrac{135,000}{900}}\)

\(\mathsf{= \dfrac{135,000\div900}{900\div900}}\)

\(\mathsf{= \dfrac{150}{1}}\)

\(\mathsf{= 150\div1}\)

\(\mathsf{= 150}\)

\(\huge\textsf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{150}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

3x - y = 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + 3y = 21 ( subtract x from both sides )

3y = - x + 21 ( divide all terms by 3 )

y = - \(\frac{1}{3}\) x + 7 ← in slope- intercept form

with slope m = - \(\frac{1}{3}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{3} }\) = 3 , thus

y = 3x + c ← is the partial equation

To find c , substitute (1, - 3) into the partial equation

- 3 = 3 + c ⇒ c = - 3 - 3 = - 6

y = 3x - 6 ← in slope- intercept form

subtract y from both sides

0 = 3x - y - 6 ( add 6 to both sides )

6 = 3x - y , that is

3x - y = 6 ← in standard form

Answer:

3x - y = 6

Step-by-step explanation:

i got it right on my quiz

We know that g(2) = 3 and g'(2) = -3. Additionally, h(2) = -1 and h'(2) = 5. we cannot determine the exact value of f(2) with the given information,  f'(2) is found to be -9

We can use the chain rule to relate g(x) and f(x). The chain rule states that if\(h(x) = f(g(x)),\) then \(h'(x) = f'(g(x)) * g'(x).\) Using this formula, we can find that f'(2) = g'(2) * h'(g(2)). Substituting in the given values, we get f'(2) = -3 * 5'(3) = -3 * 3 = -9. This tells us the rate of change of f(x) at x = 2 is -9.

To find f(2), we need to use integration. However, since we only have information about the rate of change of f(x) at x = 2, we cannot determine the exact value of f(2). We can only say that f(2) is some constant plus the integral of f'(x) from x = 0 to x = 2.

Therefore, we cannot determine the exact value of f(2) with the given information, but we can determine the rate of change of f(x) at x = 2, which is -9.

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Answer:

  \(\displaystyle\textsf{a) }\binom{8}{4}\\\\\textsf{b) }\binom{-8}{4}\)

Step-by-step explanation:

Given a translation vector ...

  \(\displaystyle \binom{g}{h}\)

moves g to the right and h up, you want the vectors for 8 right, 4 up, and for 8 left, 4 up.

When we have g = units to the right, and we want 8 units to the right, we know that g = 8. Similarly, h = units up, and we want 4 units up, so h = 4.

Putting these values in the vector form, we have ...

a)   8 right, 4 up matches vector ...

  \(\displaystyle \boxed{\binom{8}{4}}\)

b)  Left is the opposite of right, so 8 units left will be represented by ...

  g = -8

As before, 4 units up means h = 4.

  \(\displaystyle \boxed{\binom{-8}{4}}\)

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The curve xy² = 2 + xy has one horizontal tangent line at y = 0 and one vertical tangent line.

Therefore, the answer is "One horizontal and one vertical."

To determine the number of horizontal or vertical tangent lines for the curve xy² = 2 + xy, we need to find the derivative of the equation with respect to x and y and then analyze the slope.

Differentiating both sides of the equation implicitly, we get:

d/dx (xy²) = d/dx (2 + xy)

To find the derivative of xy², we apply the product rule:

d/dx (xy²) = y² + 2xy(dy/dx)

For the derivative of 2 + xy, the derivative of xy with respect to x is y(dy/dx) and the derivative of 2 with respect to x is 0.

Therefore:

0 + y² + 2xy(dy/dx) = 0 + dy/dx

Rearranging the equation, we have:

y² + 2xy(dy/dx) - dy/dx = 0

Factoring out dy/dx, we get:

(2xy - 1)(dy/dx) + y² = 0

Now, to find the slope of the tangent line, we set dy/dx = 0:

(2xy - 1)(0) + y² = 0

y² = 0

Since y² = 0 implies y = 0, we can conclude that there is only one horizontal tangent line at y = 0.

Next, we set the term 2xy - 1 equal to zero to find the vertical tangent line(s):

2xy - 1 = 0

2xy = 1

xy = 1/2

From this equation, we see that there is only one possible value for xy, which is 1/2.

Thus, there is only one vertical tangent line.

In conclusion, the curve xy² = 2 + xy has one horizontal tangent line at y = 0 and one vertical tangent line.

Therefore, the answer is "One horizontal and one vertical."

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