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The distance between the points B and C is 12m

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

for the coordinates B (-14,-5) and C(-14, 7), then x1 = -14 ,x-2= -14 , y1= -5 and y2= 7

therefore d =√((x2 – x1)² + (y2 – y1)²) = √((-14– -14)² + (-5 – 7)²)

d=√((0)² + 12²)

d=√144

d= 12m

therefore the distance between the points B and C is 12m.

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The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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Answer:

e

Step-by-step explanation:

Answer:

It is a composite number

Step-by-step explanation:

The factors are: 1, 2, 4, 7, 8, 14, 28, 56

Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

In triangle ABC, the values of AB and BC are 9.68 and 7.04 respectively i.e. A.

What is a triangle's definition?

A triangle is a geometric form that has three straight sides and three angles. It is a fundamental geometric form that is frequently utilised in mathematics, science, and everyday life.

Triangles are distinguished by three sides and three angles. The sum of each triangle's three angles is always 180 degrees. Triangles are classified according to the length of their sides and the measurement of their angles.

Now,

As given ΔDEF ≈ΔABC

that means ratio of all sides will be equal

i.e. AB/DE=BC/EF=AC/DF

then AB/8.8=6.71/6.1

AB=1.1*8.8

AB=9.68

and BC/6.4=6.71/6.1

BC=1.1*6.4

BC=7.04

Hence,

            the values of AB and BC are 9.68 and 7.04 respectively.

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Answer:

What do we have to do in this? Find x? Let me know I'll explain it in the comment section

Answer: 8/15

Step-by-step explanation:

You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.

Two of the desserts are sugar free (2/3).

Four of the drinks are sugar free (4/5)

Times these fractions together, 2/3x4/5= 8/15.

Hope this helps :)

Answer:

The Pythagorean Theorum

Step-by-step explanation:

you can literally search it and see that it is right!

If the data were transformed and points with the coordinates

(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.

To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.

Let's calculate the logarithms for the given data:

x     y            log(y)

1     12          log(12) = 1.079

2     83        log(83) = 1.919

3     580      log(580) = 2.763

Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)

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Answer:

A. $4.80 + $2.40 = $7.20

Step-by-step explanation:

10% is the same as 10/100 or 1/10. To find 10% of a number, move the decimal point one place to the left.

10% of $48 is $4.80

Now he needs 5% of $48 which is half of 10% of $48, so 5% of $48 is $2.40.

$4.80 + $2.40 = $7.20

Answer: A. $4.80 + $2.40 = $7.20

Answer:

1. 2,772

2.1,071

3.4,641

4. 36,610

5. 4,096

6. 36,270

7. 2,403

8. 3,320

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

Explanation:

We go up by 300,000 since 700,000-400,000 = 300,000

Divide this increase by the original amount

(300,000)/(400,000) = 0.75 = 75%

Therefore, we have a 75% increase.

It might help to ignore the zeros and just think of it like this: "We start at 4 and jump to 7. That's an increase of 3, so we have a 3/4 = 0.75 = 75% increase".

Answer:

625

Step-by-step explanation:

60% x x = 375

you would multiply both sides by 100 and divide both sides by 60 so

×=625

Hope this helps!

Answer:

-2 is the answer

Step-by-step explanation:

sorry if I am wrong

Answer: -2

Step-by-step explanation: 3+(-5)                                                                        3−5

3+−5

−2

When it comes to adding a positive number and a negative number the main point you should focus on is that if its the same sign you have to keep it and add them together. But since they aren't the same signs and they are different signs you have to subtract them and keep the sign of the bigger number which is -5 in this problem.

Answer:

Form: Linear Direction: Positive Strength: Moderate

Step-by-step explanation:

The scatter plot for the Cost of Airplane Ticket versus the number of Miles Flown is attached below.

It can be easily seen that the plot is moving in an upward directions. An upward moving scatter plot represents a positive relationship between the two variables.

Similarly, the scatter plot here represents a positive relationship between cost of airplane ticket and the number of miles flown.

Now consider the points plotted on the graph.

If we form a line of best by joining any two points it can be seen that the rest of the points are close to this line but not very close.

Thus, implying that there is a moderately strong relationship between the two variables.

Thus, the statement accurately describing the data is:

Form: Linear Direction: Positive Strength: Moderate

Answer:

D.

Step-by-step explanation:

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

15 liter = 507.210848 Fluid Ounces

because 1 liter = 33.8140565 so you do 33.8140565 x  15 = 507.210848

mark me brainliest

hope this helps you

Step-by-step explanation:

The sale price of the sweater is $2.7

From the question, we have the following parameters that can be used in our computation:

Markdown rate = 85% off

Original price of the sweater = $18

The retail price of the coat can be calculated using the following equation

Retail price = original price * (1 - Markdown rate)

Substitute the known values in the above equation, so, we have the following representation

Retail price = 18 * (1 - 85%)

Evaluate the products

Retail price = 2.7

Hence, the sales price is $2.7

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Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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Answer:

A. An angle measuring 125°

Step-by-step explanation:

An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°

Line q has slope 3, as you've found.

Any line perpendicular to q will then have slope -1/3, as you've found.

Line p thus has slope -1/3 and we know it passes through (6, -5), so from the point-slope formula we get the equation

\(y - (-5) = -\dfrac13 (x - 6) \implies \boxed{y + 5 = -\dfrac13 (x - 6)}\)

Answer: 0

Step-by-step explanation:  6-(2)(3)                                                                       6-6                                                                                                                             0

Answer:

2

Step-by-step explanation:

Answer:

1, 1, 2, 2, 4, 5, 8

Step-by-step explanation:

Hope this helps :)

Maybe brainliest?

Answer:

  -2

Step-by-step explanation:

To evaluate a function, replace the variable by the function argument and simplify.

  \(f(x)=\dfrac{x}{4}\\\\f(-8)=\dfrac{-8}{4}\qquad\text{replace x with -8}\\\\\boxed{f(-8)=-2}\qquad\text{simplify}\)