Which choice shows the image of triangle ABC after a reflection over the y-axis followed by a clockwise rotation of 90 around the origin?

Answer:

2.371

Step-by-step explanation:

subtract 8.63 to 11.001

Answer:

1073741824 mm

Step-by-step explanation:

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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The value of c that makes function f(x) = f^{-1}(x) for all values of x is c = 0.

The function g(x) = g^{-1}(x) for all values of x, since x = d/2 corresponds to all possible values of x.

We have,

a)

For function f(x) = f^{-1}(x), we have f(f^{-1}(x)) = x.

Substituting f(x) = x + c.

f(f^{-1}(x)) = f(x) = x + c

Substituting f^{-1}(x) = y

f(y) = y + c

Now, we need to find the value of c such that f(y) = y for all values of y. Substituting this in the above equation.

y + c = y

Solving for c

c = 0

b)

For function g(x) = g^{-1}(x), we have g(g^{-1}(x)) = x.

Substituting g(x) = -x + d.

g(g^{-1}(x)) = g(x) = -x + d

Substituting g^{-1}(x) = y.

g(y) = -y + d

Now, we need to show that g(y) = y for all values of y.

Substituting this in the above equation.

-y + d = y

Solving for y.

y = d/2

So for all values of d, g(y) = g^{-1}(y) for y = d/2.

This implies that g(x) = g^{-1}(x) for all values of x, since x = d/2 corresponds to all possible values of x.

Thus,

The value of c that makes function f(x) = f^{-1}(x) for all values of x is c = 0.

The function g(x) = g^{-1}(x) for all values of x, since x = d/2 corresponds to all possible values of x.

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Answer:

its 0.833

Step-by-step explanation:

you do the numerator divided by the denomanater (im sorry i cant spell it haha)

so in this case 5 divided by 6 is 0.833

Anthe answer is 0.833

Area of the patio is -6x² + x + 2 square yards and perimeter of the patio is 6 - 2x yards.

A yard is a unit of measurement used to measure length or distance in both the US customary system and the British imperial system. One yard is equal to 3 feet or 36 inches. In the US customary system, a yard is equal to 0.9144 meters, while in the British imperial system, it is equal to 0.9144 meters or 3 feet. Yards are commonly used for measuring larger distances, such as in construction or landscaping, as well as in some sports like American football and cricket.

The area of the rectangular patio is given by multiplying its length by its width, so the area is:

A = (1 + 2x)(2 - 3x)

Now using distributive property we get,

A = 2 - 3x + 4x - 6x²

Simplifying further, we get:

A = -6x² + x + 2

Therefore, the area of the patio is described by the quadratic equation -6x² + x + 2.

To find the perimeter of the patio, we add up the lengths of all four sides. The length and width are given as (1 + 2x) and (2 - 3x), respectively, so the perimeter is:

P = 2(1 + 2x) + 2(2 - 3x)

Simplifying this expression, we get:

P = 2 + 4x + 4 - 6x

P = 6 - 2x

Therefore, the perimeter of the patio is described by the linear equation 6 - 2x.

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Answer:

x=18.7

Step-by-step explanation:

x+17+5x+10+4x-34=180

10x-7=180

10x=187

x=18.7

all angles in a trianlge add up to 180 degrees

Answer:

x = 17

Step-by-step explanation:

Since all angles of a triangle equal to 180 we can make this equation:

x + 17 + 6x + 10 + 4x - 34 = 180

11x - 7 = 180

11x = 187

x = 17

Answer:

$11/hr

Step-by-step explanation:

$319 divided by 29 hours she worked= getting paid 11/hr

After answering the presented question, we can conclude that As a equation result, the system of equations solution is \(x = 64/3 \\and \\y = 62/3.\)

In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). The argument "2\(x + 3 = 9,"\) for example, states that the sentence "2x Plus 3" equals the value "9." The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, linear or nonlinear, and contain one or more parts. In the equation \("x^2 + 2x - 3 = 0,"\) the variable x is raised to the second power. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.

\((a) x + y = 34\)

\(2x - y = 30\)

The matrix of coefficients is | 1 1 | | 2 -1 |

This matrix's determinant is 130 - 342 = -62.

We can obtain the values of x and y using Cramer's Rule as follows:

\(x = det(A1)/det(A) = (-64)/(-3), = 64/3.\)

\(y = det(A2)/det(A) = (-62)/(-3), = 62/3.\)

As a result, the system of equations solution is \(x = 64/3 and y = 62/3.\)

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The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:

ANSWER IS RIGHT HERE USE MATH PAPA

Step-by-step explanation:

PLS BRAILIEST

The equation of the line tangent to y = x^3 + 3x^2 + 2 at its point of inflection is y = -3x - 1.

To find the point of inflection, we need to take the second derivative of the function and set it to zero:

f(x) = x^3 + 3x^2 + 2

f'(x) = 3x^2 + 6x

f''(x) = 6x + 6

Setting f''(x) = 0, we get:

6x + 6 = 0

x = -1

So the point of inflection is (-1, f(-1)),

f(-1) = (-1)^3 + 3(-1)^2 + 2 = 2

So the point of inflection is (-1, 2).

To find the equation of the tangent line at this point, we need to find the slope of the tangent. The slope of the tangent is the first derivative evaluated at the point of inflection:

f'(x) = 3x^2 + 6x

f'(-1) = 3(-1)^2 + 6(-1) = -3

So the slope of the tangent line is -3.

Now we use the point-slope form of the equation of a line, with the point (-1, 2) and the slope -3:

y - 2 = -3(x + 1)

Simplifying, we get:

y = -3x - 1

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The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

Step-by-step explanation:

Option 1: 1000 + 2000 + 1238

Option 2: 1500 + 1700 + 2038

The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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Answer:

Step-by-step explanation:

First, We highlight key details. Here we can use the information 1,080 pounds, tarpon weighed twice as much as the amberjack, the white marling weighed twice as much as the tarpon, and the tuna weighed 5 times the weight of the amber jack. And....I'm lost. Do you think you could help me figure it out by finding the first one? if you do that would be great, and I'll be sure to update my question. Thank you! ^^)

The distance between the points Q and R is found to be 8 units.

Algebraic expression that provides the distances between two points as a function of their coordinates (like coordinate system).

Now, as per the stated question;

The coordinates of the points Q and R are given as;

Q = (x₁, y₁) = (-7,-8)

And, R = (x₂, y₂) = (-7,0)

Now, substitute the values in the distance formula;

QR = √(-7 - (-7))² + (0 - (-8))²

QR = √(0)² + (8)²

QR = 8

Therefore, the distance between the points Q and R is calculated as 8 units.

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Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

In a case whereby Sarah used 3.5 cups of cheese in a dish that serves 10 people the constant of proportionality that  relates the number of servings to cups of cheese is  0.35.

We were told that Sarah used 3.5 cups of cheese with 10 people, this can be written as :

let the c= the cups of cheese which is 3.5 cups of cheese

let n = number of the people that is been served

Then the equation can be written as :

c∝n

then we can bring in the proportionality constant sign as ;

then c=kn

then we can introduce the given figures into the equation as ;

3.5=k *10

the we can determine the value of the constant as :

k=3.5/10 = 0.35

Therefore, option A is correct.

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Answer:

BC = 56 units

Step-by-step explanation:

since the main diagonal AK bisects the diagonal BC , then the figure is a kite.

• the disjoint pairs of consecutive sides are congruent in a kite, that is

AB = AC and BK = CK

using the pair AB = AC  to solve for x

9x - 14 = 6x + 7 ( subtract 6x from both sides )

3x - 14 = 7 ( add 14 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Since m bisects BC , then

CP = PB and

BC = CP + PB = 4x + 4x = 8x

then

BC = 8x = 8 × 7 = 56

Each step of this theorem is proved below.

Given that,

S is finite,

Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).

According to the cancellation rule,

This product is independent of the order of the factors.

As a result, we can define the identity element e as this product.

It is simple to demonstrate that e meets the criteria of an identity element.

Now, let's show that every element of S has an inverse.

Let a be any element of S. Consider the set {a, a, a, ...}.

Since S is finite,

There exist positive integers m and n such that

am = an   for some m > n.

By the cancellation law,

We can cancel a power of a from both sides to get a\({(m-n)}\) = e.

This means that a has an inverse, and we can conclude that S is a group.

Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.

This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.

As a result, this is not a group.

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annual salary = $51,605

we have 52 weeks in a year

note: biweekly is equivalent to 2 weeks

now, let's cross multiply both sides and solve for x

divide both sides by 52 to solve for x

the approximate biweekly pay is $1984.81

Answer:

Yes it is equivalent

Step-by-step explanation:

Simply 5(x+2)+10 and you will get 5x+12

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

Cubed Root (3√x) of

512

Cubed Root

8.0000000000

Step-by-step explanation:

Answer:

1.15775367252

Step-by-step explanation:

This is a really weird question but...

The given expression is

To find the equivalent expression, we use the formula for the difference of perfect cubes.

But, we have to express the numbers 8 and 27 as cubic powers.

Then, we know that a and b are

So, the difference would be

Once we have the difference expressed in cubes, we apply the formula using the a and b values we determined before.

Therefore, the factors are

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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Answer:

3x

Step-by-step explanation: