What are the x-input values of this relation? (1, 4), (2, 5), (3, 6) Choose all that apply.

1

2

3

4

5

6
pleaseee

Therefore , the solution of the given problem of congruence comes out to be the response is option A. ASA.

Two angles are spoken to be congruent when their respective shapes have the same dimensions. Similar to that, if the sides of one form are now exactly the same length as the edges of another figure, the edges are congruent.

Here,

We can identify the sort of congruence between the two triangles based on the provided figure.

We can see that segment AC and segment DF are the only pair of congruent sides shared by the two rectangles.

Additionally, angle A and angle D as well as angle C and angle F are two sets of congruent angles.

In light of this,

we can use the Angle-Side-Angle (ASA)

congruence criterion, which says that two triangles are congruent if they have two pairs of congruent angles and a congruent side between them.

Therefore, the response is A. ASA.

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The roots of the function f(x) =\(x^3 + 3x^2 + x - 5\) are approximately x ≈ -2.27 (real root) and x ≈ -0.36 + 1.56i, x ≈ -0.36 - 1.56i,   \((x-1)(x^3+3x^2+x-5)\).

To find the roots of the function f(x) = x^3 + 3x^2 + x - 5, we need to solve for values of x that make the function equal to zero.

One approach to finding the roots is by using factoring or synthetic division, but in this case, the function does not have any obvious rational roots. Therefore, we can use numerical methods such as the Newton-Raphson method or graphing techniques to approximate the roots.

Using a graphing calculator or software, we can plot the function f(x) = x^3 + 3x^2 + x - 5. By analyzing the graph, we can estimate the x-values where the function intersects the x-axis, indicating the roots.

Upon analyzing the graph or using numerical methods, we find that the function has one real root approximately equal to x ≈ -2.27.

The other two roots are complex conjugates, which means they come in pairs of the form a + bi and a - bi. For this particular function, the complex roots are approximately x ≈ -0.36 + 1.56i and x ≈ -0.36 - 1.56i.

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Answer:

r = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² = PQ² + QR² , substitute values

(r + 4)² = r² + 8²

r² + 8r + 16 = r² + 64 ( subtract r² from both sides )

8r + 16 = 64 ( subtract 16 from both sides )

8r = 48 ( divide both sides by 8 )

r = 6

If you draw a tiny circle with a 90-degree sector, it is not a dilation of the original circle because a dilation is a transformation that changes the size of an object while preserving its shape.

In a dilation, all corresponding points in the original and the transformed shapes lie on a line passing through the center of dilation, and the scale factor of the dilation determines the ratio of the corresponding lengths of any two segments that join corresponding points.

In the case of the tiny circle with a 90-degree sector, the sector has a different shape than the original circle, and the sector has a larger perimeter than the corresponding arc of the original circle. Therefore, the sector is not a dilation of the original circle.

Furthermore, a 90-degree sector of a circle can be obtained by cutting a part of the original circle and thus cannot be obtained by dilation alone.

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Answer:

mABC=130°

mEBD=130°

mABE=50°

Step-by-step explanation:

Answer:350

Step-by-step explanation: 35x10 =350

Answer:  radius = 5.83 cm     height = 8.12 cm

Step-by-step explanation:

First, let's find the circumference of the 210° section of the circle.

\(C=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\C=2\pi(10)\bigg(\dfrac{210^o}{360^o}\bigg)\\\\\\C=\dfrac{35}{3}\pi\)

The circumference of the the cone is \(\dfrac{35}{3}\pi\) .  We can use this to find the radius .

\(C=2\pi r\\\\\dfrac{35}{3}\pi=2\pi r\\\\\\\dfrac{35\pi}{3\cdot 2\pi}=r\\\\\\\dfrac{35}{6}=r\\\\\\5.83=r\)

When you fold the 210° section into a cone, the slant height is the original radius of 10.  We can use the radius and slant height of the cone to form a right triangle with the height.  Use the Pythagorean Theorem to find the height.

radius² + height² = slant height²

\(\dfrac{35}{6}^2\ +\ h^2=10^2\\\\\\.\qquad \quad h^2=10^2-\bigg(\dfrac{35}{6}\bigg)^2\\\\.\qquad \quad h=\sqrt{\dfrac{6^2(10)^2-35^2}{6^2}}\\\\\\.\qquad \quad h=\sqrt{\dfrac{2375}{36}}\\\\\\.\qquad \quad h=8.12\)

A number that goes into a greater number with no remainders is called a factor.

A factor is an integer that divides into a greater number without any remainders.

For example, the number 6 is a factor of 18 because when 18 is divided by 6, the answer is 3 with no remainders. Similarly, the number 3 is a factor of 12 because when 12 is divided by 3, the answer is 4 with no remainders.

Factors are important in mathematics because they can be used to solve equations and determine the greatest common divisor (GCD) of two or more numbers. Factors can also be used to determine prime numbers and their multiples.

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Step-by-step explanation:

2*22/7*4.7=29.54285714

Answer:

4x1=4

Step-by-step explanation:

anything times itself is that number like 2x1=2

The statement (E) "none of them" must be true. None of the statements (i), (ii), or (iii) can be concluded based on the given information.

Given that f is continuous on [0,6] and the only solutions of f(x) = 3 are x = 1 and x = 5, we cannot make any definitive conclusions about the function's behavior at other points within the interval.

We know that f(4) = 2, which means at x = 4, the function takes the value of 2. This information does not provide any direct information about the function's values or behavior at other points in relation to the value 3.

Without additional information or knowledge about the shape or behavior of the function within the interval, we cannot determine whether f(2) or f(0) is greater than 3, or whether f(6) is less than 3. Therefore, none of the statements (i), (ii), or (iii) can be concluded based solely on the given information.

Hence, the correct answer is (E) "none of them."

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Thus,  the area of infinite region in the first quadrant between the curve y=e^-x and the x-axis is 1 square unit.

To find the area of the infinite region in the first quadrant between the curve y=e^-x and the x-axis, we need to integrate the function y=e^-x from x=0 to x=∞.

First, let's find the indefinite integral of e^-x:
∫e^-x dx = -e^-x + C

Next, we can use this indefinite integral to find the definite integral from x=0 to x=∞:
∫[0,∞]e^-x dx = lim┬(t→∞)∫[0,t]e^-x dx
= lim┬(t→∞)[-e^-t + e^0]
= lim┬(t→∞)[-e^-t + 1]
= 1

Therefore, the area of the infinite region in the first quadrant between the curve y=e^-x and the x-axis is 1 square unit.

It is important to note that this region is infinite because the curve y=e^-x approaches the x-axis but never actually touches it.

As we integrate from x=0 to x=∞, we are essentially adding up an infinite number of infinitely small rectangles, resulting in an infinitely large area.

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\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)

Fred has a total of 150 cents with him as savings.

Given is that Fred has saved 8 quarters by washing cars.

Assume that he has {x} number of cents. Now -

1 quarter = 25 cents

Then, we can write -

{x} = 8 x 25

{x} = 150                            

Therefore, Fred has a total of 150 cents with him as savings.

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{Question in english -

Fred has saved 8 quarters by washing cars, how many cents does Fred have?}

Answer:Disturbed is not a type of rock so ya

CAN I PLZ HAVE BRAINLILEST I ONLY NEED ONE MORE

Answer:

Step-by-step explanation:

you can complete the square or use a calculator online that does it for you.

the equation is in the for y = a(x-h)^2 + k

it should be y = (x + 3)^2 + 3

Answer:

The correct answer is \(y = - (x - 3)^{2} +21\).

Step-by-step explanation:

To solve this equation (y = \(-x^{2} +6x + 12\)), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve \(y = -x^{2} +6x - 9 + 12\).

Then, you want to add the -9 to the other side of the equation to get \(y - 9 = -x^{2} + 6x - 9 + 12\).

Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with \(y - 9 = -(x^{2} -6x+9) + 12\).

Now, we use an identity in algebra that is difference of two squares identity. This says that \(a^{2} -2ab +b^{2} =(a-b)^{2}\).

So, we will then factor the trinomial -\(x^{2} -6x+9\) to get \(-(x-3)^{2}\). Our new and updated equation is \(y-9 = -(x-3)^{2} +12\).

Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us \(y = -(x-3)^{2} +21\).

This is our final equation.

Answer:

r is equal to negative 14.

Step-by-step explanation:

Step-by-step explanation:

\( \sf \: \sqrt{3} = 1.732, \: then \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} } \)

\( \red{\large\underline{\sf{Solution-}}}\)

Given expression is

\(\rm :\longmapsto\: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} } \)

On rationalizing the denominator, we get

\(\rm \:  =  \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} \times \dfrac{ \sqrt{3} - 1}{ \sqrt{3} - 1} } \)

\(\rm \:  =  \: \sqrt{\dfrac{ {( \sqrt{3} - 1)}^{2} }{( \sqrt{3} + 1)( \sqrt{3} - 1)} } \)

We know,

\( \boxed{ \tt \: (x - y)(x + y) = {x}^{2} - {y}^{2} \: }\)

So, using this, we get

\(\rm \:  =  \: \dfrac{ \sqrt{3} - 1}{ \sqrt{ {( \sqrt{3})}^{2} - {(1)}^{2} } } \)

\(\rm \:  =  \: \dfrac{ \sqrt{3} - 1}{ \sqrt{ 3 - 1} } \)

\(\rm \:  =  \: \dfrac{ \sqrt{3} - 1}{ \sqrt{2} } \)

\(\rm \:  =  \: \dfrac{ \sqrt{3} - 1}{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} } \)

\(\rm \:  =  \: \dfrac{(1.732 - 1) \sqrt{2} }{2} \)

\(\rm \:  =  \: \dfrac{0.732 \times \sqrt{2} }{2} \)

\(\rm \:  =  \: 0.366 \sqrt{2} \)

Hence,

\(\rm :\longmapsto\: \boxed{ \rm{ \: \: \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} } = 0.366 \sqrt{2} \: \: \: }}\)

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)² = (a - b)² + 4ab

(a - b)² = (a + b)² - 4ab

(a + b)² + (a - b)² = 2(a² + b²)

(a + b)³ = a³ + b³ + 3ab(a + b)

(a - b)³ = a³ - b³ - 3ab(a - b)

Answer:

\(8\sqrt{7}\)

Step-by-step explanation:

\(\frac{21}{\sqrt{7} } * \frac{\sqrt{7} }{\sqrt{7} }\) = \(\frac{21\sqrt{7} }{7}\)

\(\frac{21\sqrt{7} }{7}\) = \(\frac{147\sqrt{7} }{14}\)

\(\frac{147\sqrt{7} }{14} - \frac{35\sqrt{7} }{14}\)

\(\frac{112\sqrt{7} }{14}\)

\(8\sqrt{7}\)

Answer:

CD = 30.43; LK = 14.08

Step-by-step explanation:

Problem 12.

Let's first find BD. Triangle ADB is a right triangle with hypotenuse AB. By definition of sine ( or by theorem, they're equivalent) \({BD \over 20} = sin 54.\), hence BD= 16.18. Jump on the other side now. Triangle BDC is a right triangle with sides BD and CD. By definition of tangent \( {{16.18} \over CD} = tan 28 \), thus CD= 30.43.

Problem 13

Assuming the 72° is angle JLK

As usual, triangle MJL is a right triangle with sides MJ and LJ. By definition of tangent \( {{JL} \over 14} = tan 51 \). Follows that JL = 14.81. Now, similarly, trinagle JLK is a right triangle, with hypotenuse JL. From the definition of sine, as before,\({KL \over 14.81} = sin 72.\). Solving for the only unknown value, you find LK = 14.08.

Please double check the calculations and feel free to add more digits if required

The circumference of the circle with a radius of 1,736 is approximately 10,893.17 moos.

The circumference of a circle is the distance around the outer boundary of the circle. It is the total length of the circle's perimeter. The circumference of a circle is calculated by using the formula C = 2πr, where C represents the circumference, π represents the mathematical constant pi (approximately equal to 3.14), and r represents the radius of the circle.

Substituting the value of the radius into the formula, we get:

C = 2π(1,736)

C = 2(3.14159)(1,736)

C = 10,893.17

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Answer:

Lesser = -\(\sqrt{11}\) - 7 = -10.317

Greater = +\(\sqrt{11}\) - 7 = -3.683

Step-by-step explanation:

I am assuming you are asking for the lesser x solution and greater x solution.

(x + 7)^2 – 11 = 0

(x + 7)^2 = 11

x+7 = ±\(\sqrt{11}\)

x = ±\(\sqrt{11}\) - 7

Lesser = -\(\sqrt{11}\) - 7 = -10.317

Greater = +\(\sqrt{11}\) - 7 = -3.683

Answer:

lesser= -14

greater= 0  (:

The solution of the given differential equation is y^2 = 1/2*(y^5 - xy^2) + 1
or, y = ±(1/2*(y^4 - xy + 2))^1/2.

The given equation is a first-order linear differential equation. It can be solved by transforming it into an equivalent differential equation of the form dy/dx = f(x,y).

The given equation can be rewritten as:
y' + xy = y^4
y' = y^4 - xy

Therefore, dy/dx = y^4 - xy.

To solve this differential equation, let us substitute u = y^2, which gives us du/dx = 2y*y' = 2y*(y^4 - xy).

Integrating both sides, we get
∫ du = ∫ (2y*(y^4 - xy))dx
u = y^2 = 1/2*(y^5 - xy^2) + c
where c is the constant of integration.

Since y(0) = 1, substituting x = 0 and y = 1 in the equation above, we get c = 1.
Therefore, the general solution of the differential equation is
y^2 = 1/2*(y^5 - xy^2) + 1

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The population of interest in this case is (d) All of the answer options are correct. It includes all veterinarians, all veterinarians treating large animals, and all veterinarians in the United States treating large animals, including horses.

The population of interest in this study is defined as all veterinarians in the United States who treat large animals, including horses. This population includes all individuals who fit this criteria, regardless of their location or any other specific characteristics.

The researchers wanted to gather information about the prevalence of using nonsteroidal anti-inflammatory drugs (NSAIDs) for treating lameness in horses among veterinarians in the United States. To do this, they obtained a list of all veterinarians who treat large animals, including horses, and sent questionnaires to each of them.

The response rate refers to the percentage of veterinarians who completed and returned the questionnaires out of the total number of questionnaires sent. In this case, the response rate was 40%, meaning that 40% of the veterinarians who received the questionnaires responded to them.

By surveying a representative sample of veterinarians, the researchers can gather information and make inferences about the larger population of veterinarians in the United States who treat large animals, including horses. The data collected from the survey can provide insights into the widespread use of NSAIDs for treating lameness in horses and contribute to the overall understanding of veterinary practices in this context.

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Answer:

A=16x^2

B=-12x

Step-by-step explanation:

I think this question is asking you to use box method. If so, imagine 8x times 2x is 16x^2, which would be the A value. Then, 2x times -6 is -12x, which is the B value. I'm sorry if thats not what the question is asking. Hope this helps though!

Answer:

y = -5

Step-by-step explanation:

-10(-1/2y + (-7/2)) + 7y = -25

Let's first of all expand the bracket to get;

5y + 35 + 7y = -25

12y + 35 = -25

12y = -25 - 35

12y = -60

y = -60/12

y = -5

Answer:

3x-y-2z=4. 2x+3y-4z=1

4x-7y-6z=-7. -x+6y+4z=11

- +. +. +. x+9y=12

____________.

-x +6y +4z=11.

Answer: they are parallel so there is no solution.

Step-by-step explanation:

Brayden- y=5x-1 or y-5x= -1

Howard- y=5x+1 or y-5x= 1

Vincent- y=4x+5 or y-4x= 5

In summary, they are all parallel so there is no solution. or

5y - 1 = 5y + 1

(Braydon = Howard)

Hope this helps you :) pls BRAINLEST

Answer:

The expressions for the yards gained by Brayden and Howard are 5y − 1 and 5y + 1, respectively.

If Brayden and Howard gained the same number of yards, then the equation representing this situation would be

5y – 1 = 5y + 1.

Brainliest?

Answer:

14.4

Step-by-step explanation:

hope this helps