please help me. My answer was 1282.7 and it was incorrect.

Answer: Axioms and Postulates

Step-by-step explanation:

Even if we draw more points on a line, It is an accepted statement of a fact that cannot be disproved - which which these are called Axioms or Postulates; and they are interchangeable.

I hope my explanation helped. Your welcome.

Answer:

6 is in ten place and its place value is 60,

Answer:

(X-1+I)(x-1-I)

Step-by-step explanation:

Expression (x + 1 - i)(x + 1 + i) is equivalent to  x² + 2x +2.

Option (B) is correct option.

Variables, integers, and a variety of mathematical procedures make up an algebraic expression.

To find the expression equivalent to x² + 2x +2,

Solve with the help of options.

(A)

(x - 1 + i)(x - 1 - i)

Solve by using formula (a + b)(a - b) = a² - b²

(x - 1 + i)(x - 1 - i) = (x -1)² - i² = x² + 1 - 2x +1 = x² - 2x + 2

(B)

(x + 1 - i)(x + 1 - i)

Solve by using formula (a + b)(a - b) = a² - b²

(x + 1 - i)(x + 1 + i) = (x + 1)² - i² = x² + 1 + 2x +1 = x² + 2x + 2

Expression in option (B) is equivalent to x² + 2x + 2.

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Answer:

the equivalent fractions for 2/5 are:

(2/5) × (2/2) = (2 × 2) / (5 × 2) = 4/10

(2/5) × (3/3) = (2 × 3) / (5× 3) = 6/15

(2/5) × (4/4) = (2 × 4) / (5 × 4) = 8/20

Answer:

4/10, 6/15, 8/20, etc.

Step-by-step explanation:

I hope you got some idea

The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

\(17\sqrt{7z}\)

Step-by-step explanation:

\(7\sqrt{28z}+\sqrt{63z}\\ = 14\sqrt{7z}+3\sqrt{7z} \\= 17\sqrt{7z}\)

Answer:

2091 grams

Step-by-step explanation:

1000 g = 1kg

2*1000 = 2000g + 91g = 2091 g

Answer:

2kg 91 g = _2091_ g

Step-by-step explanation:

Conversion factor: 1 kg = 1000 g

1) kg = g / 1000

2) kg = 2091 / 1000

3) kg = 2.09

Answer:

20

Step-by-step explanation:

you would go backwards from what was described

13 - 3 = 10

10 x 2 = 20

Main Answer: The total surface area of cylinder B is approximately 476.7  square units.

Supporting Question and Answer:

How is the surface area of a cylinder calculated?

The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:

A = 2πrh + 2π\(r^{2}\)

where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.

The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.

Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.

The total surface area of a cylinder is given by the formula:

Area = 2πrh + 2π\(r^{2}\)

For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:

180 = 2πrh + 2π\(r^{2}\)

90 = πrh + π\(r^{2}\)

We can rearrange this equation to solve for r:

r² + rh - 90/π=0

Using the quAdratic formula,we get:

r = (-h ± √((h)² + 4(90/π)))/2

r = -h/2 ± √(h² + 4(90/π))/2

Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.

R = 2r= -h ± √(h² + 4(90/π))

We can use this expression to find the surface area of cylinder B:

Surface area of cylinder B = 2πR² + 2πR(2h)

Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))

We can use the value we found for 2h using the quadratic formula in the expression to get:

Surface area of cylinder B = 476.7 square units (rounded to one decimal place)

Therefore, the total surface area of cylinder B is approximately 476.7  square units.

Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7  square units.

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Answer:

2750

Step-by-step explanation:

Alan - 125

Bob - 14×125

Candy - 7×125

125×(1+14+7)= 22×125=2750

Answer:

Step-by-step explanation:

Nose

Answer:

C. 1 and 3

Step-by-step explanation:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Step-by-step explanation:

2/3=0.66666666666

4/5=0.80000000000

10 rational numbers between them

0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79

Answer:

67/100, 68/100, 69/100, 70/100, 71/100 72/100, 73/100, 74/100, 75/100, 76/100.

Answer: D.42⁰

Ok done. Thank to me :>

Answer:

0

Step-by-step explanation:

1x=x

-x/1=-x

x-x=0

Answer:

Brainleist !

Step-by-step explanation:

x - x /1

x - x = nothing or 0

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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The value of x in the triangle is 14 cm.

The mid segment is a line segment that joins the mid points of two sides of a triangle. It is parallel to the third sides and is half the length of the third side.

Therefore,  let's find the length x of the triangle as follows:

Base on the mid segment principle,

PQ = 6 cm

SR = TS

If SR = 7 cm

Hence,

x = SR + TS

x = 7 + 7

x = 14 cm

Therefore,

TR = x = 14 cm

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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The two possible locations of the fourth vertex are (4, -1) and (-6, 9). The solution has been obtained by using the properties of parallelogram.

What is a parallelogram?

A parallelogram has two sets of parallel sides, making it a quadrilateral. A parallelogram's opposing sides and angles are both the same length.

Finding the vector that depicts the shift from one of the given vertices to another is necessary in order to determine the fourth vertex of a parallelogram.

The third given vertex must then be added to the vector.

We know that the opposite sides of a parallelogram are parallel and equal in length, we may determine the coordinates of the other two vertices by adding the same displacement vector to two of the given vertices.

The difference between the first and second provided vertices i.e.

(1 - (-4), -2 - 3), is one potential displacement vector which is (5, -5).

On adding this vector to the third vertex, we get the fourth vertex as (4,-1).

Similarly, the difference between the second and third vertices i.e.

(-1 - 1, 4 - (-2))  is another potential displacement vector which is (-2, 6).

On adding this vector to the third vertex, we get the fourth vertex as

(-6, 9).

Hence, the two possible locations of the fourth vertex are (4, -1) and

(-6, 9).

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Answer:

(2y+5)x(5y-2)

Step-by-step explanation:

For a polynomial of the form ax² - bx + c rewrite the middle term as a sum of two terms whose product is a·c=10·-10 = -100 and whose sum is b= 21.

We factor 21 out of 21y.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{10y^{2}+21(y)-10 } \end{gathered}$}}\)

Rewrite 21 as −4 plus 25.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{10y^{2}+(-4+25)y-10 } \end{gathered}$}}\)

Apply the distributive property.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{10y^{2}-4y+25y-10 } \end{gathered}$}}\)

Factor the highest common denominator of each group. Group the first two terms and the last two.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{(10y^{2}-4y)+25y-10 } \end{gathered}$}}\)

Factor the highest common denominator (GCF) of each group.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{2y(5y-2)+5(5y-2) } \end{gathered}$}}\)

Factor the polynomial by factoring the greatest common denominator, 5y-2.

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{(5y-2)(2y+5) } \end{gathered}$}}}\)

Perpendicular lines and slopes

The slopes of two perpendicular lines are the negative reciprocals of each other.

This means if m1 is the slope of line 1 and m2 is the slope of line 2, then:

m1 * m2 = -1

We are given the slope m1=-3. To find the slope that is perpendicular to m1, we solve the equation for m2 as follows:

Substituting m1=-3:

The required slope is 1/3

Answer:

(a) 56%

(b) 28%

Step-by-step explanation:

Hope this helps! :)

Answer:1/20

Step-by-step explanation:

trust

Answer:

1/20

Step-by-step explanation:

5 divided by 100 is =20

5divided by 5 is =1

=1/20

Answer:

The domain = - 4,-2,-1,4

Range = -4,-1,0,1

Step-by-step explanation:

Domain is the set of all x-values.

Range is the set of all y-values.

The first left point is at x = -4 and y = - 4. The domain is x = - 4. The range is y = - 4.

For domain, we focus only x-axis/term and value.

For range, we focus only y-axis/term and value.

The probability that a pupil uses the gym but not the swimming pool is 30%

An equation is an expression showing the relationship between two or more numbers and variables.

60 pupils in a sports centre are surveyed.  29 pupils use the swimming pool. 23 pupils use the gym and 5 people use both. Hence:

Pupils using swimming pool alone = 29 - 5 = 24

Pupils using gym alone = 23 - 5 = 18

Pupils using neither = 60 - (24 + 18 + 5) = 13

Probability that a pupil uses the gym but not the swimming pool = Pupils using gym alone / total number

Probability that a pupil uses the gym but not the swimming pool = 18/60 = 0.3 = 30%

30% of pupil use gym alone

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After 22 months, Jed and Esther have the same amount of money in their accounts.

Simplify both sides of the equation as much as possible using the order of operations (distribute, combine like terms, etc.)

Given: Jed has £48 in his bank account and from then on, at the end of each month he put £40 into his account  and

Esther had £180 in her bank account and from then on, at the end of each month she put £34 into her account.

Now, let us consider after 't' months they have same amount of money in their accounts

 ⇒ £48 + £40t = £180 + £34t

 ⇒ £40t - £34t = £180 - £48

 ⇒ 6t = 132

 ⇒ t = 22.

Therefore, after 22 months, Jed and Esther have the same amount of money in their accounts.

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