the equation of a circle is (x+1)2+(y-4)2=12 what are the coordinates?

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

The best representation of the mean number of sports played by middle school students is 2.75 sports and the MAD is about 0.84 sports.

To find the best representation of the mean number of sports played by middle school students, we need to calculate the median of the given data.

The median represents the central tendency of the data and is less affected by extreme values.

Arranging the means of the samples in ascending order, we have:

1, 1, 2, 2.5, 3, 3, 3.5, 4

Since there are eight values, the median will be the average of the fourth and fifth values:

(2.5 + 3) / 2 = 2.75

Variability in the Distribution

Summing up the absolute deviations:

1.75 + 1.75 + 0.75 + 0.25 + 0.25 + 0.25 + 0.75 + 1.25 = 6.75

To find the MAD, we divide the sum of the absolute deviations by the total number of data points:

MAD = 6.75 / 8 = 0.84

Therefore, the MAD is about 0.84 sports.

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Answer:

The 1st option is correct.

We are not clear that WX = XY.

3rd is is not correct.

4th option is also incorrect.

Answer:

y= -1/2x -3

Step-by-step explanation:

An equation of the line that passes through the point (8, -7) and is parallel to the line x + 2y = 18 is y = -x/2 -3.

Given that, the equation of a line is x + 2y = 18 and the coordinate plane is (8, -7).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Here,  x + 2y = 18

⇒ 2y=18-x

⇒ y=9-x/2

The slope of a line x + 2y = 18 is -1/2

The slope of a line parallel to given line is m1=m2=-1/2

Substitute m=-1/2 and (x, y)=(8, -7) in y=mx+c, we get

-7=-1/2 (8)+c

⇒ -7=-4+c

⇒ c=-3

Put m=-1/2 and c=-3 in y=mx+c, we get

y = -x/2 -3

Therefore, an equation of the line that passes through the point (8, -7) and is parallel to the line x + 2y = 18 is y = -x/2 -3.

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Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Answer:

44

Step-by-step explanation:

vertical angles

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Work Shown:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = x^2+x+1 + g(x) ............... plug in f(x) = x^2+x+1

(f + g)(x) = x^2+x+1 + x^2-9 ........... plug in g(x) = x^2-9

(f + g)(x) = (x^2+x^2)+x+(1-9)

(f + g)(x) = 2x^2+x-8

Answer:

72

Step-by-step explanation:

0 < x < 1

Multiply the inequality by 100

0 < 100x < 100

0 < 72 < 100

Answer:

1.0496968e+13

Step-by-step explanation:

Answer:

bro how are u do u remeber me

Step-by-step explanation:

Hello!

Answer:

No

Explanation:

A statistical question is answered by collecting data that exhibits variability

\(\Huge \fbox{Answer = No}\)

Statistical questions are open ended questions that are created to gather information or data about a population or a sample. Depending on the population or sample being investigated, they often involve variability and can have a variety of possible responses.

Because it is a straightforward factual question that can be answered with a single value, the question being asked is not a statistical one.

There are 1,760 yards in a mile, hence the answer to this question is an exact number. There is no variability or data gathering involved with this response. As a result, the question is not a statistical question.

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The option that would not be true about corresponding scatterplot is (c) The slope of the linear model is always -1.0

The correlation coefficient measures the strength and direction of the linear relationship between two variables. A correlation coefficient of -1 indicates a perfect negative linear relationship, which means that as one variable (working out) increases, the other variable (body fat) decreases, and vice versa.

Option a is true because a correlation coefficient of -1 means that all the data points will fall exactly on a straight line, and the value of one variable (body fat) can be perfectly predicted from the other variable (working out).

Option b is true because a correlation coefficient of -1 indicates a perfect linear relationship, with no deviations from the line.

Option d is true because the best fit line will have a negative slope, which represents the negative relationship between the two variables.

However, option c is not true. The slope of the linear model is not always -1.0. The slope of the linear model is equal to the correlation coefficient multiplied by the ratio of the standard deviation of the dependent variable (body fat) to the standard deviation of the independent variable (working out). Therefore, the slope of the linear model will be negative, but it will not always be exactly -1.0.

Therefore, the correct option is (c) The slope of the linear model is always -1.0

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The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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The equivalent expression is -1

If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 10x + 8 = 0

x² - 10x = -8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = 8 + (-10/2)²

x² - 10x + 25 = -8 + 25

x² - 10x + 25 = 17

By simplifying, we have;

(x - 5)² = 17

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Answer:

\(x=\frac{\sqrt{14} }{2}\)

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures \(45^o\). Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

\((\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}\)

We use just the positive root, since we are looking for an actual length. then, the requested side is:

\(x=\frac{\sqrt{14} }{2}\)

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Answer:

18 inches

Step-by-step explanation:

4 width and 6 length

12 width and x length

12/4=3 and 6x3=18

so it is 18 inches long.

Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

1. To convert 0.00526 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 5.26, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 5.26 × 10-3

Therefore, the decimal number 0.00526 written in scientific notation is 5.26 × 10-3 and it has 3 significant figures.

2. To convert 0.00639 into scientific notation also known as standard form, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 6.39, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 6.39 × 10-3

Therefore, 0.00639 in scientific notation is 6.39 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 6.39e-3.

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The length KL is 8 units

The value of x is undefined

The length KL is 12 units

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

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Answer:

4200 inches squared

Step-by-step explanation:

Answer: 162°

Step-by-step explanation:

To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.

First, a percent divided by 100 becomes a decimal.

       45% / 100 = 0.45

Next, "of" means multiplication in mathematics.

       0.45 * 360 = 162

The central angle will be 162°.

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest