Find the number, if the sum of 9+(-35)

Step-by-step explanation:

here's the answer to your question

Answer: Distance = 11

Step-by-step explanation:

Concept:

Here, we need to know the idea of the distance formula.

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Find the distance between A and B, where:

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(Distance=\sqrt{(4+7)^2+(-4+4)^2}\)

\(Distance=\sqrt{(11)^2+(0)^2}\)

\(Distance=\sqrt{121+0}\)

\(Distance=\sqrt{121}\)

\(Distance=11\)

Hope this helps!! :)

Please let me know if you have any questions

The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

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Answer:

no u

Step-by-step explanation:

Answer:

B) y=x/6 is the linear equation

Step-by-step explanation:

a) y=x^6 is a quadratic equation

c) y=6/x is a rational equation

d) y=|x+6| is a absolute value equation

Answer:

B is linear.

Step-by-step explanation:

You can plug the equations into y= or your calculator and compare the graphs

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The exact value of cosine(7π/8) is 0.912939.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

The given angle can be written in degree form as,

(7π/8) radian = (7π/8) × (180/π) = 157.5°

The exact value of cosine(7π/8) can be written as,

Cosine (7π/8) = Cosine(157.5°) = 0.912939

Hence, The exact value of cosine(7π/8) is 0.912939.

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Answer:

D. -sqrt(2+sqrt(2))/2

Step-by-step explanation:

Took the test and this was the correct answer

Answer:

x-y=6

4y+3x=4

Step-by-step explanation:

Answer:

-5 =x

Step-by-step explanation:

0 = In(x + 6)

Raise each side to base e

e^0 = e^ ln (x+6)

1 = x+6

Subtract 6 from each side

1-6 = x

-5 =x

Answer:

more than

Step-by-step explanation:

The 8 in 429.86 is nearest because is 80/100 while the 8 in 321.58 is  8/100

Answer: (0.79, 3.05 )

Step-by-step explanation:

Confidence interval for the population mean:

\(\overline{x}\pm z^c\dfrac{\sigma}{\sqrt{n}}\)

, where \(\overline{x}\) = Sample mean

\(\sigma\) = population standard deviation

n= sample size.

\(z^c\) = Critical z value for confidence interval c.

As per given:

n= 10

\(\overline{x}=1.92\)

\(\sigma=1.83\)

Critical z-value for 95% confidence = 1.96

A 95% confidence interval for the mean opinion in the population of all licensed drivers:-

\(1.92\pm (1.96)\dfrac{1.83}{\sqrt{10}}\\\\=1.92\pm1.134\\\\= (1.92-1.134,\ 1.92+1.134)\\\\\approx(0.79,\ 3.05 )\)

Hence, a 95% confidence interval for the mean opinion in the population of all licensed drivers = (0.79, 3.05)

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

Answer:

x = 0

Step-by-step explanation:

hello :

2^x=1​  means :   2^x=2^0    because : 2^0 = 1

so : x = 0

Answer:

\(x = 0\)

Step-by-step explanation:

Write the number in exponential form with the base of 2:

\( {2}^{x} = {2}^{0} \)

Since, the base are the same, set the exponents equal:

\(x = 0\)

Given the expression:

so simplify, we have to use the following general rules for exponents:

then, in this case we have the following:

therefore, the simplifide expression is 32x^(-1)

Answer:

D. I and II

Step-by-step explanation:

In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive. 

The solution is, sine is positive in,  D. I and II. Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles.

here, we have,

We are given to select the correct answer from the options provided.

The rule of signs for the trigonometric ratios in the four quadrants are as follows :

Quadrant I :    All the three ratios, tangent, sine and cosine are positive.

Quadrant II :   Only sine is positive, cosine and tangent are negative.

Quadrant III :  Only tangent is positive, sine and cosine are negative.

Quadrant IV :  Only cosine is positive, sine and tangent are negative.

so, we get,

In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.

Therefore, using the above rules, we can say that the options (B), (C) and (A) are incorrect.

so, we have,

Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.

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Answer:

14/21

Step-by-step explanation:

1. Find the value of x

Step 1: Write it as an equation.

Step 2: Cross-multiply.

Step 3: Divide both sides by 3.

2. Now that we know the numerator is 14 and the denominator is 21, we can write it as a fraction: 14/21.

The slope of the line passing through points A and B is 1/3.

The formula for the slope of a line to find the slope passing through points A and B. The formula is:

slope = (change in y) / (change in x)

Let's label the coordinates of point A as (x₁, y₁) and the coordinates of point B as (x₂, y₂).

Then, substitute the values and calculate the slope:

slope = (y₂ - y₁) / (x₂ - x₁)

slope = (3 - 2) / (3 - 0)

slope = 1 / 3

Therefore, the slope of the line passing through points A and B is 1/3.

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Answer:

D. y = 12x - 3

Step-by-step explanation:

We know that the number of boxes is x and that each box contains 12 jars

This means that:

Total number of jars = number of boxes * number of jars in each box

Total number of jars = 12x jars

Now, Gabriel's mum used 3 jars

This means that, the number of remaining jars (y) can be calculated by removing 3 from the total number of jars (12x)

Based on the above:

Remaining jars = Total number of jars - Number of used jars

Y = 12x - 3

Hope this helps :)

Answer:

2/5

Step-by-step explanation:

To express a common fraction such as 2/5 as a decimal fraction you divide the denominator into the numerator. /5 = ?/100 Using your knowledge of fractions you can see that ? = 40. Thus 2/5 = 40/100 or 2/5 is 40 per one-hundred, that is 40 percent.

Hope this helped!!1

Answer:

40/100 = 2/5

Divide by the common factor, 20.

Neither anushka nor lukas are correct as both of their calculations are wrong.

Basic arithmetic operations like addition, subtraction, multiplication, and division are used to isolate the variable on one side of a linear equation and solve it. The objective is to make the equation as simple as possible until the variable can be identified and its value calculated. In order to solve a linear equation, you must first combine like terms to simplify the expressions on both sides of the problem.

Then, you can use inverse operations to get rid of constants and coefficients. The value of the variable can be ascertained by solving for it once it has been isolated. By looking at the coefficients and constants of the equation, it can be established if the equation has no solution or infinite solutions. In various disciplines, such as science, engineering, and finance, linear equations are used to represent connections between variables.

2/5b + 1 = -11

2/5b = -12

b= -12 x 5/2

b = -30

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Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Answer:

They can make 30 Bags total.

Step-by-step explanation:

Jane has $17. There are 12 pencils in each pack for $1.60.

Jane can bay 10 packs of 12 pencils for $16.9 or else she will go over the amount of money she has.

1.69 x 10 = 16.9

Eric has $19. There are 150 cards in one pack for $2.99.

Eric can bay 6 packs of 150 cards for $17.94 or he ill go over the amount of money he has.

2.99 x 6 = 17.94

Eric.

150^6 = 900

900/30 = 30

Jane.

12^10 = 120

120/2 = 60

60/2 = 30

Together.

30 cards can go into 30 bags, and 2 pencils can go into 30 bags

Answer:

First one=120,138 Second one=477,900

Step-by-step explanation: For the first one use subtraction, and for the second one use multiplication. Such as multiplying each digit of 6,372 by 7 and by 5. The top one is pretty self explanatory.

9514 1404 393

Answer:

  B.  4 and 6

Step-by-step explanation:

The quadratic term is a perfect square, so the full factorization is ...

  y = (x -4)(x -6)²

The values of x that make these factors zero are 4 and 6.

The zeros are 4 and 6, matching choice B.

Answer:

5

Step-by-step explanation:

The mode of a data set is the number that appears most

Answer:

Step-by-step explanation:

x=24/5

Answer:

(D)

Step-by-step explanation:

The sum of the exterior angles of any polygon is \(360^{\circ}\).

========================================================

Work Shown:

For any given suit, there are 3 face cards: Jack, Queen, King.

There are 4 suits, leading to 4*3 = 12 face cards out of 52 total.

The probability of pulling out a face card is 12/52.

After that card is selected, we have 12-1 = 11 face cards left and 52-1 = 51 cards left overall. This is assuming a replacement is not made, or the card is not put back.

The probability of getting another face card, given the first selection was a face card, is 11/51.

Multiplying the two fractions gives:

P(2 face cards) = P(1st facecard)*P(2nd facecard given 1st facecard)

P(2 face cards) = (12/52)*(11/51)

P(2 face cards) = (12*11)/(52*51)

P(2 face cards) = (3*4*11)/(13*4*3*17)

P(2 face cards) = (11)/(13*17)

P(2 face cards) = 11/221

Answer:

The difference between the weight of 5.12 lb and the mean weight is 2.785 lb.

Step-by-step explanation:

To find the difference between the highest weight and the mean weight, we simply subtract the mean from the highest weight:

5.12 lb - 2.335 lb = 2.785 lb

Therefore, the difference between the weight of 5.12 lb and the mean weight is 2.785 lb.

Part 2

b. Answer: The difference between the weight of 5.12 lb and the mean weight is 1.71 standard deviations.

Explanation: To find the number of standard deviations that the difference in weight represents, we divide the difference by the standard deviation:

2.785 lb / 1.631 lb = 1.71

Therefore, the difference between the weight of 5.12 lb and the mean weight is 1.71 standard deviations.

The aluminum parallel-flow plate-and-fin evaporator has several key advantages over the standard round copper tube plate-and-fin evaporator are Lighter Weight, Improved Heat Transfer Efficiency.

An evaporator is a device used in air conditioning and refrigeration systems to remove heat from the refrigerant, which helps to cool down the air. There are two main types of evaporators: the aluminum parallel-flow plate-and-fin evaporator and the standard round copper tube plate-and-fin evaporator.

The parallel-flow design of the aluminum evaporator provides a larger surface area for heat transfer, which results in more efficient cooling. This means that less energy is required to achieve the same cooling effect.

Reduced Pressure Drop: The parallel-flow design also reduces the pressure drop in the refrigerant, which can improve the overall efficiency of the air conditioning or refrigeration system.

Aluminum is lighter than copper, which makes the aluminum evaporator easier to handle and install. This can be especially important in large air conditioning or refrigeration systems where weight and handling can be a significant concern.

Increased Durability: Aluminum is a more durable material than copper, which means that the aluminum evaporator is less likely to suffer from corrosion or other types of damage over time.

Better Resistance to Leakage: The parallel-flow design of the aluminum evaporator provides a tighter seal, which reduces the risk of refrigerant leakage. This helps to maintain the efficiency of the air conditioning or refrigeration system.

Lower Maintenance Costs: The increased durability and better resistance to leakage of the aluminum evaporator can help to lower maintenance costs over time.

Improved Environmental Performance: The improved efficiency and reduced pressure drop of the aluminum evaporator can help to lower the energy consumption of the air conditioning or refrigeration system. This can result in a reduction in greenhouse gas emissions and other environmental impacts.

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Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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