Determine the equation of the circle with center (-6, -2 containing the point (-10, -9).

Answer:

[tex]y = \frac{1}{2}x + 8[/tex]

Step-by-step explanation:

The general slope-intercept equation is: y = mx + b.

In this equation, "m" is equal to the slope and "b" is equal to the y-intercept.

Since the slope is "1/2", then this is the "m" value.

Since the line passes the y-axis at "8" when x = 0, then "b" must be "8".

Therefore, the equation of the function in slope-intercept form is  [tex]y = \frac{1}{2}x + 8[/tex].

The height of Corbin's model given the actual height of the monument and the scale of the model is 6.04 inches.

A scale model is smaller representation of a bigger object / drawing. The scale model is reduced by constant dimensions.

The height of Corbin's model = 604 / 100 = 6.04 inches

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Answer:

$p - $5

or just p - 5

Step-by-step explanation:

I hope this helps

Answer:

c. 69

b. 7

Step-by-step explanation:

The number of girls = total number of students - total number of boys

60 - 36  = 24

The number of boys that study French = 2/3 x 36 = 24

The numbber of boys that study German = 36 - 24 = 12

The number of girls that study French = 40 - 24 = 16

The number of girls that study German = 24 - 16 = 8

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Answer:

Hi the answer is A. 40

Let's see

The integers be

So their sum

Divided by 6

Tune down into ratio

Put final equation on line

Spare equations

The correct equation for the statement: 3n+6:6=8

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Let the three consecutive integers be

So their sum

n+n+2+n+4

and,

=n+n+2+n+4/6

=(3n+6)/6

= (n+2)/6

Hence, correct equation for the statement: 3n+6:6=8

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Answer:

empezando multiplicar todos los números seria un total de 1785  que lo pondremos con m3  que un metro cubico seria 1000L entonces con los 1785 los ponemos por 1 000  

Step-by-step explanation:

respuesta 1 785 000

Answer:

I am not sure if this is correct but:

Step-by-step explanation:

Hey there!

What is the mean of the data set?

22 ✅

You first have to know what is a mean (or average) :

MEAN : Sum of values divided by the number of values.

[tex] \text{mean} = \frac{sum \:of\: the \:values}{number \: of \: values} \\ \\ \Longrightarrow \frac{18 + 22 + 14 + 30 + 26}{ 5 } \\ \\ \Longrightarrow \frac{110}{5} \\ \\ \Longrightarrow \red{\boxed{\blue{22}}} [/tex]

Therefore, the mean of the data set is 22.

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The mean can be calculated by determining the sum of the chosen pumpkins and dividing it by the total pumpkins chosen for the photograph.

Therefore, the fraction that represents the mean is:

[tex]\dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]

When we simplify the fraction, we get:

[tex]\implies \dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]

[tex]\implies \dfrac{40 + 14 + 30 + 26}{5}[/tex]

[tex]\implies\dfrac{70 + 14 + 26}{5}[/tex]

[tex]\implies\dfrac{70 + 40}{5}[/tex]

[tex]\implies\dfrac{110}{5} = 22[/tex]

Therefore, the mean of the data set is 22.

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The answer will be 1-sphere,2-Triangular pyramid,3-cube,4-Triangular prism,5-Cylinder,6-Rectangular pyramid

The figures can be sphere, cylinder, cube,pyramid,prism etc.We have to match the description with their correct solid name.

figure where all points are the same distance from the center, is called sphere.

1-sphere

figure made of all triangles.That figure is called a triangular pyramid.

2-Triangular pyramid

figure with six congruent squares is called a cube.

3-cube

figure with two triangle bases and rectangles for the rest of its faces.That figure is called a triangular prism.

4-Triangular prism

figure with circular bases is called a cylinder.

5-Cylinder

figure with a rectangle as a base and a triangle for the rest of its bases.

That figure is called a rectangular pyramid.

6-Rectangular pyramid

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Answer:

B

Explanation:

The north is opposite to the south

So the vector [tex]j[/tex] represents 1 mile per hour south.

Maria is jogging south at 12 miles per hour.

Therefore, the vectors [tex]12j[/tex] represents Maria's velocity. The correct answer is B.

The vector used to represent the position of Maria is -12j.

A measurement with a magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. A vector does not have position, while having magnitude and direction.

Given:

vector i represents 1 mile per hour east

and, vector j represents 1 mile per hour north

Now, the position of north is opposite to south

Now, Maria is jogging south at 12 miles per hour.

So, the vector used to represent the position of Maria is -12j.

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Collection of domestic animals is a set. However, a collection of big domestic animal is not a set as it is a subset.

Domestic animals are known to bee  dogs, cats, etc. that can live along with humans.

Note that Collection of domestic animals is a set but the collection of big domestic animal is a subset of domestic animals this is because the big domestic animal are part of the domestic animals and as such it will be a subset.

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Step-by-step explanation:

1. You have to find the gradient / slope from y = 5x + 20

y = 5x + 20

y = mx + c

With using a general form, we known that the gradient of the line is 5.

2. Use the formula "[tex]y - y_1 = m.(x - x_1)[/tex]" to find the line.

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - 10 = 5.(x - 0)[/tex]

[tex]y = 5x - 0 + 10[/tex]

[tex]y = 5x + 10[/tex]

Answer:

y = 5x + 10.

Step-by-step explanation:

Y = 5x + 20

The gradient m = 5

So the line parallel to it has a gradient of 5 also.

Using the point slope form of straight line:

y - y1 = m(x - x1)

Here,  m = 5, x1 = 0 and y1 = 10:

y - 10 = 5(x - 0)

y - 10 = 5x

y = 5x + 10.

Answer:

5.84 feet hope this help you!!

Answer:

The area of rectangle is 77 sq ft.

11 x 7 = 77

Answer:

See below for the proof of the identity

Step-by-step explanation:

I read your statement as [tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta=1[/tex]:

[tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta\\\\\frac{\frac{\sin\theta}{\cos\theta}-\frac{\cos\theta}{\sin\theta}}{\frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{1}{\sin\theta\cos\theta}} +2\cos^2\theta[/tex]

[tex]\displaystyle \sin^2\theta-\cos^2\theta+2\cos^2\theta\\\\\sin^2\theta+\cos^2\theta\\\\1[/tex]

Thus, the identity is proven.

Explanation:

The rule to use here is log(x)-log(y) = log(x/y)

So,

log(6)-log(3) = log(6/3) = log(2)

Answer:

log(2)

Step-by-step explanation:

As we have,

log(a)−log(b)=log(a/b)

Replace 'a' as 6 and 'b' as 3.

Then we get,

[tex]\hookrightarrow log(6)-log(3)\\\\\hookrightarrow log(\frac{6}{3} )\\\\\hookrightarrow log(2)[/tex]

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the volume of the cylinder?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

[tex]\textsf{Volume of a Cylinder:-}[/tex]

[tex]\dashrightarrow\boxed{\bold{V=\pi r^2h}}}\dashleftarrow[/tex]

Where

V = volume

π = pi (3.14...)

r=radius

h=height

Given:-

r=5

h=6

Notice that we're asked to use 3.14 for π.

Plug in the values:-

[tex]\bold{V=3.14 (5^2)(6)}[/tex]

On further simplification,

[tex]\bold{V=3.14(25)(6)}[/tex]

[tex]\bold{\underline{V=471}}[/tex] units³

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Answer:

Total amount to be raised by the 8 student groups = Total amount required - Donation = $682.56 - $200.00 = $482.56Amount to be raised bu each group ...

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

8.20 plus 4.80 would equals 13

so 13 subtracted by 25 equals 12

The correct statement is to Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

The statement that explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram is "Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals".

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Answer:

9 - 3 = 6.

Therefore, the answer equals to 6 hours .

I hope this helps :))

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

of the means division.

42/50 = 84/100 = 84%

The percentage of the dirty coffee mugs at the pancake house will

be 84%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of coffee mugs = 50

Dirty coffee mugs = 42

Now,

The  percentage of the dirty coffee mugs at the pancake house is calculated as;

Percent = 42 / 50 x 100

            = 0.84 x 100

            = 84%

Thus, The percentage of the dirty coffee mugs at the pancake house will

be 84%.

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Answer:

$870.00 is the motorcycle price after a 40% discount

Step-by-step explanation:

discount = original price x discount % / 100

discount = 1450 x 40 / 100

discount = 1450 x 0.4

discount = $580.00

Final Price = Original Price - Discount

Final Price = 1450 - 580

Final Price = $870

Answer:

I normally just plug these into desmos.

Step-by-step explanation:

Answer:

Sine is an Odd B answer

Step-by-step explanation:

So basically it's B
Text book

Answer:

84%

Step-by-step explanation:

Okay, I want to work out the chance that was between 20 and 60. Other words will find the area. 20 2 60 this area here. And the answer is because the area under the curve is always one in total. So the workout p of 20, less than x. Less than 60 here. I need a calculator And the input on the TI 84 plus is as follows, you press the second blue button, second, followed by vars V A R S, that's by the arrow keys on the right, that brings up the menu for distributions and what you want is normal C D E F Number two on the list, so normal C D E F. You press enter and it was a lower upper, lower is 20 upper is 60. The mean is 50 and the standard deviation is 10, There's a four number input. So 20 for lower 60 for upper 50 for the mean And 10 for the s. d. Standard deviation so, and then paste that onto the screen and press enter and we get 0.83999. And hear what they want. There's a percent to have some more places.

Therefore, it will be 84.00 percent. The two decimal places