Round 25.395 to the nearest hundredths.

The mirror image of the coordinates is (4, - 20)

The term coordinates is defined are ordered pairs of points that help us locate any point in a 2D plane or 3D space.

Here we have given the coordinates (4, 20).

And we need to find the mirror image of given coordinates.

As per the definition of coordinates the rule of Mirror image of (x , y ) in the x - axis is  written ( x , -y).

Here we have the value of x as 4 and the value of y as 20.

When we apply the rule on the given coordinates then we get the resulting points,

=> (4, 20) = (4, - 20)

Complete Question:

What is the mirror image of the coordinate (4,20)?

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Answer:

Factor each coefficient into primes

Step-by-step explanation:

The Factor  expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2 is each coefficient into primes.

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ANSWER

The other two zeros are

• 3 + 2i

• 3 - 2i

EXPLANATION

If the zeros of a polynomial are x1, x2, x3... the polinomial function can be written in a factored form,

Hence, if we know that one of the zeros of f(x) is -4, that means that (x + 4) is a factor. Thus, we can divide the polynomial by that factor,

So f(x) is,

To find the other two zeros now we just have to find the zeros of the second factor (x² - 6x + 13), which is much easier because we can simply use the quadratic formula,

In this case a = 1, b = -6 and c = 13,

Note that the number under the radical is negative. Therefore the other two zeros are not real - in other words, in the real numbers set this function has only one zero: -4.

In the complex number set we know that i² = -1, so we can replace the minus sign under the radical by i²,

And solve the square root,

We can distribute the denominator into the sum/subtraction,

And we get that the other two zeros are,

This agrees with the complex conjugate root theorem, which states that

The solution to the equation are (2, 9) and (-1, 0)

Given the functions as shown below:

Equating both equations will give;

–x^2 + 4x + 5 = x^2 + 2x + 1

Collect the like terms to have:

–x^2 + 4x + 5 –x^2 - 2x - 1 = 0

-2x^2 + 2x + 4= 0\

2x^2 - 2x - 4  = 0

x^2 - x - 2 =0

Factorize to have:

x^2 - x - 2 =0

x^2 - 2x + x - 2 = 0

x(x-2)+1(x-2) = 0

x = 2 and -1

If x = 2

y = 2^2 + 2(2) + 1

y = 9

If x  = -1

y = (-1)^2 + 2(-1) + 1

y = 1 - 2 + 1

y = 0

Hence the solution to the equation are (2, 9) and (-1, 0)

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In factored form, the same expression is thus:

8(x² + 2x + 3)

The expression can be factored to provide the common factor of 8:

8x² + 16x + 24 = 8(x² + 2x + 3)

We must now factor the quadratic expression within the parenthesis. The quadratic formula can be used:

x = [-b ± sqrt(b² - 4ac)] / 2a

We have a = 1, b = 2, and c = 3 for the formula x2 + 2x + 3. When we plug these numbers into the quadratic formula, we get:

x = [-2 ± sqrt(2² - 4(1)(3))] / 2(1)

x = [-2 ± sqrt(-8)] / 2 x = (-1 ± i√2)

The quadratic expression does not factor over the real numbers because the discriminant (\(b^{2}\) - 4ac) is negative. As a result, the factored equivalent expression is:

8(\(x^{2}\)+2x+3) = 8(x - (-1 + i2))(x - (-1 - i2))

8x²+16x+24 = 8(x+1)(x+3)

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We know

D = RT

D is distance

R is rate

T is time

Upstream rate = x - c

Downstream rate = x + c

note: c is rate of current and x is still water rate (x)

Answer:

x=8 and y=−1

Step-by-step explanation:

Answer:

This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.

Step-by-step explanation:

Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is x4, then the degree is 4, i.e. even, and the leading coefficient is 1, i.e. positive.

This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.

Answer:

Percentage Calculator: What is the percentage increase/decrease from 8. to 9.5? = 18.75.

1001 many times will the digit 9 occur in the final product.

First of all,

13×7 × 11 =1001

The result is 4 digit number and hence when multiplied by 3 digit number, it is resulting in the number repetition.

             123× 1001 = 123123

             445 × 1001 = 445445

Based on this logic we can assume that,

             99 × 101 = 9999

             85× 101 = 8585

             20 × 101 = 2020.

2.  Any 3 digit number multiplied with 1001 will result in same pattern. for example:

              123 × 1001 = 123123

              997 × 1001 = 997997

              500× 1001 = 500500

Ans so on.

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Answer:

Equation: 10+x= 15 +0.5x

Time: 10 days

Amount: 20$

Step-by-step explanation:

Equation for Benito:

Equation for Tavon:

Since the sums equalize at some time, we get:

After 10 days, Juan will owe both Benito and Tavon $20

Answer:

\(2x + 9 = y \\ - 4x - 3 = y \\ so \: both \: equation \: is \: equal \\ 2x + 9 = - 4x - 3 \\ 2x + 4x = - 3 - 9 \\ 6x = - 12 \\ x = \frac{ - 12}{6} \\ x = - 2\)

Answer:

1953.125

Step-by-step explanation:

(12.5)³

= 12.5 × 12.5 × 12.5

= 1953.125

Answer: 1953.125

(12.5)³

so 12.5 multiplied to itself thrice

12.5x12.5x12.5

which is 1953.125

The total area on which the dart may land is 530.93 square units

The dart is a circle and hence the calculations will be accomplished using formula pertaining to a circle.

The circumference of a circle (dart) is given by the formula below

C = 2 * π * r

where

C is the circumference

π = pi is a constant term and

r is the radius.

26π = 2πr

Dividing both sides by 2π, we get:

r = 13

Area of the dart (circle)

A = πr²

A = π * (13)²

A = 169π (in terms of pi)

A = 530.93 square units (to 2 decimal place)

Therefore, the total area on which the dart may land is 169π square units.

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Answer: I think 47.5in^2

Step-by-step explanation:

The type of energy the box have after it is done being pulled is "kinetic energy".

Kinetic energy is the type of energy which an item or particle has as a result of its motion. When work, that transfers energy, is performed on an item by exerting a net force, that object accelerates and obtains kinetic energy.

Now, according to the question;

The box's mass, m = 10 kg

F = 50 N, the force that occurs when the box is pulled

It has been moved 4 meters.

Friction force operating upon that box, f = 20 N

We must determine the box's initial kinetic energy. The box appears to be at rest at first. Because there is no movement in the box at the time.

The formula for box's kinetic energy is as follows:

K.E = (1/2)mv²

As velocity is given zero; v = 0.

Thus, K.E = 0.

The initial velocity of the box is zero.

Therefore, as the box starts moving its zero kinetic energy will start increasing.

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Answer:

15 feet above ground.

Step-by-step explanation:

15 feet - 4 feet = 11 feet

11 feet + 5 feet = 16 feet

16 feet - 1 foot = 15 feet

Answer:

1

Step-by-step explanation:

-2x+9y=15

x+7=4 ​

Solve for X.

x +7=4

   -7.  -7

x = -3

Plug in X into the first equation

-2(-3) + 9y = 15

6 + 9y = 15

-6.           -6

9y = 9

Divide by 9 on both sides

9/9=1

Answer:

x = -3. | y = 1. | (-3,1)

Step-by-step explanation:

-2x+9y=15

x+7=4

-7. -7

x= -3

-2(-3) + 9y =15

6 + 9y= 15

-6. -6

9y = 9

÷9. ÷9

y = 1

Answer:

x= plus or minus 1 plus imaginary root times square root of 5.

Step-by-step explanation:

\( {x}^{2} - 2x + 6 = 0\)

Complete the Square.

\( {x}^{2} - 2x = - 6\)

\( {x}^{2} - 2x + 1 = - 5\)

\((x - 1) {}^{2} = - 5\)

\(x = + - 1 + i \sqrt{5} \)

The answers to the three mentioned statements on integers is given here:

a. False.

b. True.

e. True.

Reasons for the statements to be true/false?

a. The statement "If a, b, c, and d are integers such that a|b and c|d, then a + d|b + d" is false. Counter example: Let a = 2, b = 4, c = 3, and d = 6. Here, a|b and c|d, but a + d = 2 + 6 = 8 does not divide b + d = 4 + 6 = 10.

b. The statement "If a, b, c, and d are integers such that a|b and c|d, then ac|bd" is true. This can be proven using the property of divisibility: If p|q and r|s, then pr|qs. Applying this property, since a|b and c|d, we have ac|bd.

e. The statement "If a, b, c, and d are integers such that a<b and b<c, then a<c" is true. This is known as the transitive property of inequality. If a is less than b and b is less than c, then it follows that a is less than c.

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Answer:

\(P=0.71\) or 71%

Explanation:

\(P=\frac{3.63*10^2}{1.48*10^8+3.63*10^8}\)

\(=\frac{3.63}{5.11} =0.71\) or 71%

Answer:

16384

Step-by-step explanation:

The solution for 4 to the 7th power can be expressed as 16,384.

To calculate 4 to the 7th power, we need to multiply 4 by itself seven times. Let's break it down step by step:

4¹ = 4 {4 to the power of 1}

4² = 4 x 4 = 16 {4 to the power of }

4³ = 16 x 4 = 64 {4 to the power of 3}

4⁴ = 64 x 4 = 256 {4 to the power of 4}

4⁵ = 256 x 4 = 1024 {4 to the power of 5}

4⁶ = 1024 x 4 = 4096 {4 to the power of 6}

4⁷ = 4096 x 4 = 16384 {4 to the power of 7}

Therefore, 4 to the 7th power has a solution equal to 16,384.

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Answer:

The only greatest common factors between 35 and 56 is 7.

Answer:

7

Step-by-step explanation:

Use prime factorization;

35 = 5 * 7

56 = 2 * 2 * 2 * 7

Both 35 and 56 have ( 7 ) in common, hence their GCF is 7.

The value of the line integral is (-16/3)cos(6) + (16/9)sin(6). Evaluating this integral, you will get the value of the line integral for the given curve.

To evaluate the line integral ∫c x sin yds, where C is the line segment from (0,3) to (4,6), we first need to parameterize the curve. We can do this by letting x = t and y = 3 + (3/4)t, where t goes from 0 to 4. This gives us the parametric equations x = t and y = (3/4)t + 3.

Next, we need to find ds, the length of the curve element. We can use the formula ds = sqrt(dx^2 + dy^2) to get ds = sqrt(1 + (3/4)^2)dt = sqrt(25/16)dt = (5/4)dt.

Now we can substitute in our parameterization and ds into the line integral to get ∫c x sin yds = ∫0^4 t sin((3/4)t + 3) (5/4)dt.

We can evaluate this integral using integration by parts. Let u = t and dv = sin((3/4)t + 3) (5/4)dt, then du/dt = 1 and v = (-4/3)cos((3/4)t + 3). The integral becomes:

∫0^4 t sin((3/4)t + 3) (5/4)dt = uv|0^4 - ∫0^4 v du/dt dt
= (-4/3)t cos((3/4)t + 3)|0^4 - ∫0^4 (-4/3)cos((3/4)t + 3) dt
= (-4/3)t cos((3/4)t + 3) + (16/9)sin((3/4)t + 3)|0^4
= (-16/3)cos(6) + (16/9)sin(6)

Therefore, the value of the line integral is (-16/3)cos(6) + (16/9)sin(6).

To evaluate the line integral ∫c x sin y ds, where C is the line segment from (0, 3) to (4, 6), you first need to parameterize the curve C.

A possible parameterization is r(t) = (1-t)(0, 3) + t(4, 6) = (4t, 3+3t), with t ∈ [0, 1]. Then, compute the derivative dr/dt = (4, 3).

Now, find the integrand by replacing x and y with the parameterized curve components: x sin y = (4t) sin(3 + 3t).

Next, find the magnitude of the derivative: |dr/dt| = √(4² + 3²) = 5.

Finally, compute the integral:

∫[0, 1] (4t sin(3 + 3t))(5) dt.

Evaluating this integral, you will get the value of the line integral for the given curve.

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Answer:

NO

7 feet is not greater that 20.4 yards

Explanation:

1 yard is equivalent to 3 feet

so

20.4 yards is equivalent to 3*20.4 = 61.2 feet

Comparing these, we see that 20.4 yards is greater that 7 feet

Therefore, it is not true that 7 feet is greater than 20.4 yards.