Write an equation in standard form of the circle with the given center and radius.
center (-6,3) , radius 8 .

Answer: 1,585.12 is your interest. full is 4349.12

Step-by-step explanation: brainlist pls

If the tower is located at the origin, the equation of its circular area of coverage is [tex]x^{2} +y^{2} = 225[/tex]

A circle is a closed curve that is drawn from a fixed point. This point is called the center. All points on the curve are equidistant from this center point.

The equation of a circle with center at (h, k) and radius r is given by:

[tex](x - h)^{2} + (y-k)^{2} = r^{2}[/tex]

According to the given condition,

center is origin i.e., (h, k) is (0,0)

and r = 15.

Substituting these values in the equation above,  

[tex](x - 0)^{2} + (y-0)^{2} = 15^{2}[/tex]

[tex]x^{2} + y^{2} = 225[/tex]

Thus, the equation of the tower located at origin and having coverage area of radius 15 miles is  [tex]x^{2} + y^{2} = 225[/tex].

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The equation of line is:

y = (5/2) x - 11

Given,

Points (x₁, y₁) = (-12, -6) and (x₂, y₂) = (8, 9)

We can find the slope using the equation for slope

m = (y₂ - y₁) / (x₂ - x₁)

   = (9 -(-6)) / (8-(-12))

   = (9+6) / (8 + 12)

    = 15/20 = 3/4

We know the slope and a point, so we can use point slope form to make an equation

y-y₁ = m(x-x₁)

y - (-6) = 3/4 (x-(-12))

Distribute

y+6 = 3/4x – 3/4 × 2

y+6 = 3/4x - 3/2

Add -6 to each side

y + 6 -6 = 3/4x - (3/2)-6

y = 3/4x - (-9/2)

y = 3/4x + 9/2

This is in slope intercept form (y= mx+b)

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Answer:

x = 6

Step-by-step explanation:

- 12x - 17 = - 89 ( add 17 to both sides )

- 12x = - 72 ( divide both sides by - 12 )

x = [tex]\frac{-72}{-12}[/tex] = 6

From the total amount of miles driven, it is found the equation that matches the given situation is:

138 + 225 + x = 482.

Solving the equation, it is found that they drove 119 miles on Sunday.

The total amount of miles driven is given by the addition of the number of miles driven on Friday, Saturday and Sunday.

The separate amounts are given as follows:

Hence the equation that matches the given situation is:

138 + 225 + x = 482.

Solving the equation, we have that:

x = 482 - (138 + 225)

119.

They drove 119 miles on Sunday.

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The highest point of this ramp will be at 30 inches.

It is given that Wheelchair ramps have at least a 12 -inch run for each rise of 1 inch and Max length for a ramp is 30 feet.

We have to find the highest point of ramp in inches.

What will be the value of 10 feet in inches ?

As we know that 1 feet = 12 inches , the value of 10 feet in inches will be ; 10 × 12 inches or 120 inches.

As per the question ;

Wheelchair ramps have at least a 12 inch run for each rise of 1 inch.

Max length for a ramp = 30 feet

or

Max length for a ramp = 30 × 12 inches

or

Max length for a ramp = 360 inches

The highest point of this ramp will be at ;

= 360 ÷ 12

= 30 inches

Thus , the highest point of this ramp will be at 30 inches.

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Answer:

14

Step-by-step explanation:

That equation, with the given constraints, is easily solved using logical reasoning.10y is a multiple of 5, and 25 is a multiple of 5; that means 7x is a multiple of 5.And we know x is a number between 10 and 20. So x has to be 14

The expression that represents the perimeter of the triangle in centimeters is; 73[tex]w^{2}[/tex]  +  128wx  +  128[tex]x^{2}[/tex]  +  60wy +  116[tex]y^{2}[/tex]  +  64xy

We are given the measurement of each side length of the triangle, i.e.

(8w +8x) (8w+8x)

(3w + 10y) (3w+10y)

(4y + 8x) (4y+8x)

After simplifying the measurement on each side, we get;

(8w +8x) (8w+8x)= 64[tex]w^{2}[/tex] + 128wx + 64[tex]x^{2}[/tex]

(3w + 10y) (3w+10y)= 9[tex]w^{2}[/tex] +60wy +100[tex]y^{2}[/tex]

(4y + 8x) (4y+8x)= 16[tex]y^{2}[/tex] + 64xy + 64[tex]x^{2}[/tex]

To find the perimeter of the triangle, we get the addition of all side lengths

Thus, Perimeter (P) = 64[tex]w^{2}[/tex] + 128wx + 64[tex]x^{2}[/tex]   +   9[tex]w^{2}[/tex] +60wy +100[tex]y^{2}[/tex]  +   16[tex]y^{2}[/tex] + 64xy + 64[tex]x^{2}[/tex]

                           P= 73[tex]w^{2}[/tex]  +  128wx  +  128[tex]x^{2}[/tex]  +  60wy +  116[tex]y^{2}[/tex]  +  64xy

Therefore, the perimeter of the triangle is given by;   73[tex]w^{2}[/tex] + 128wx + 128[tex]x^{2}[/tex]  + 60wy + 116[tex]y^{2}[/tex] + 64xy

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The measure of the vertex angle is 92°

Here,

The triangle is isosceles and one base angle of an isosceles triangle has a measure of 44°

We have to find the measure of the vertex angle.

What is Isosceles triangle?

A triangle is said to be isosceles if there is any two corresponding sides are equal and there angle are equal.

Now,

The triangle is isosceles triangle.

Hence, there corresponding sides and there angles are equal.

So, Both base angles of a triangle are equal.

And, Sum of angles of a triangle are 180°

Let the measure of the vertex angle is x°

Hence,

⇒ 44° + 44° + x° = 180°

⇒ x° = 180° - 88°

⇒ x° = 92°

Therefore, The measure of the vertex angle is 92°

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The given series is an arithmetic series and its sum is 36.4

The summation or sigma notation is used to express long summation into a single formula.

The series, given in a summation notation, is:

     [tex]\sum\limits^{10}_{n=4} {(0.8n-0.4)}[/tex]

The formula inside the sum notation represent the nth term, a(n).

Let evaluate the terms for some n, starts from n = 4 as indicated by the lower limit of the summation notation:

a(4) = 0.8 (4) - 0.4 = 2.8

a(5) = 0.8 (5) - 0.4 = 3.6

a(6) = 0.8 (6) - 0.4 = 4.4

This form a new arithmetic series, with the first term, let say f(1) =2.8 and common difference, d = 0.8.

The number of terms in this new geometric series is given by the upper and lower limit of the summation notation:

number of terms = 10 - 4 + 1 = 7

Use the sum formula for an arithmetic series,

S(n) = n/2 [2.f(1) + (n - 1) . d]

Substitute n = 7, f(1) = 2.8, and d = 0.8 into the formula:

S(7) = 7/2 [2. (2.8) + (7 - 1) . (0.8)]

S(7) = 36.4

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Answer: -7/5=-9

Step-by-step explanation:

I hope it helps

Answer: - 7/5 = -9

Step-by-step explanation: Combine like terms into single fraction, multiple by 1, subtract 3, simply.

Answer: Functions are relations with one output for any unique input.

Step-by-step explanation:

Answer:

[tex] - 8 \times |2 = - 16| [/tex]

The sum of three angles of a triangle is 180° . 32° is the angle at 24 when other two angles are 85° and 63°.

The sum of three angles of a triangle is 180° .

Given two angles of a triangle are 85° and 63°. We need to find the third angle at 24.

The angle at 24 be x.

By angle sum property,sum of three angles of a triangle is 180°.

The two angles are  85° and 63° and third angle is x.

85°+63°+x=180°

148°+x=180°

x=180°-148°

x=32°

Therefore the angle at 24 is 32° when other two angles are  85° and 63°.

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The coordinates of the midpoint of a segment with the given endpoints will be (8, 9.5).

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(13, 14) and C(3, 5).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(13 + 3) / 2, (14 + 5) / 2]

(x, y) = (16/2, 19/2)

(x, y) = (8, 9.5)

The coordinates of the midpoint of a segment with the given endpoints will be (8, 9.5).

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Answer:

19 , 29

Step-by-step explanation:

19 + 29 = 48

mark brainiest pls

Answer:

5y =x-15

Step-by-step explanation:

yes

The equation of the line is y = -3x/5 + 1 that passes through (5, −2), and is perpendicular to y = (5/3)x - 3.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The line passes through (5, −2) and is perpendicular to y = (5/3)x - 3

The slope of the line y = (5/3)x - 3

m = 5/3

The slope of the line perpendicular to the above line:

M = -3/5

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The equation of the line

y + 2 = (-3/5)[x - 5]

y = -3x/5 + 1

Thus, the equation of the line is y = -3x/5 + 1 that passes through (5, −2), and is perpendicular to y = (5/3)x - 3.

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Answer: 125.7 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees.

angle 1 + angle 2 = 180

54.3+angle 2=180.0

54.3-54.3+angle 2=180.0-54.3

angle 2=180.0-54.3

angle 2=125.7 degrees

Answer:

14

Step-by-step explanation:

Adding FG and GH is the answer to the wholr line. Im 90% sure thats the right answer thats whst i learnt 7 days ago.

The expression that represents the amount spent is  0.8x + 7.50

The given parameters are

Discount = 20%

Necklace = 7.50

Let the cost of the dress be x

So, the expression that represents the amount Sammie spent is

Expression = (1 - Discount) * x + Necklace

This gives

(1 - 20%) * x + 7.50

Evaluate

0.8x + 7.50

Hence, the expression that represents the amount spent is  0.8x + 7.50

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The compound inequality that describes Tammy's test score x 85 < x < 92 and Tammy's test score is between 85 and 92

The given parameters are

Sam's test score is between 100 and 107

This means that

100 < Sam's score < 107

From the question, we have:

Tammy scored about 15 fewer points.

This means that

Tammy = Sam - 15

So, we have

Sam = Tammy + 15

Where

Tammy = x

This gives

Sam = x + 15

So, we have

100 < x + 15 < 107

Subtract 15 from the sides of the inequality

So, we have

85 < x < 92

This means that the compound inequality that describes Tammy's test score x 85 < x < 92

In part (a) of this solution, we have the following compound inequality

85 < x < 92

The above compound inequality means that Tammy's test score is between 85 and 92

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Answer: y=-0.5x-8

Step-by-step explanation:

Choose two points on the line: (0,-8) and (-6,-5)

Hence,

x₁=0   x₂=-6   y₁=-8   y₂=-5

[tex]\displaystyle\\The\ slope=\frac{y_2-y_1}{x_2-x_1}\\\\The\ slope=\frac{-5-(-8)}{-6-0} \\\\The\ slope=\frac{-5+8}{-6} \\\\The\ slope=\frac{3}{(3)(-2)}\\\\The\ slope=\frac{1}{-2} \\\\The\ slope=-\frac{1}{2}\\\\The\ slope=-0.5[/tex]

[tex]y=kx+b\\k=the\ slope=-0.5\\(0,-8) \ hence,\\-8=-0,5*0+b\\-8=0+b\\-8=b\\Thus,\\y=-0.5x-8[/tex]

The geometric mean between pair of numbers 7 and 11 is 8.77

We know that for a sequence of numbers x1, x2,.., xn

The formula of geometric mean is,

[tex]\Pi=\sqrt[n]{x_1.x_2.x_3...x_n}[/tex]

In this question, we have been given two numbers 7 and 11

We need to find the geometric mean between pair of numbers, 7 and 11.

Using the formula for the geometric mean,

[tex]\Pi=\sqrt[n]{x_1.x_2.x_3...x_n}[/tex]

In this question, we have two numbers.

So, the value of n is 2.

[tex]\Pi=\sqrt{7\times 11}\\\\ \Pi=\sqrt{77}\\\\ \Pi=8.77[/tex]

Therefore, the geometric mean between pair of numbers 7 and 11 is 8.77

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Answer:

10 *6= 60

60÷2=30

1÷2×b×h formula

answer- 30

The value of x when y = 4 is 0. 25

From the information given, we have that;

This is expressed as;

x ∝ 1/ y²

x = y/y²

Let's substitute the value of y as 4 into the equation;

x = 4 / 4²

Find the square

x = 4 / 16

Find the ratio

x = 1/ 4

x = 0. 25

Thus, the value of x when y = 4 is 0. 25

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Lets consider an example to to show that it does not matter which point you choose for (x₁, y₁) .

Let the points be -

(2,1) and (4,7)

where x1 and x2 are 2, 4

y1 and y2 are 1,7.

So the formula for slope will be -

m = y2 - y1 / x2 - x1

⇒ 7 - 1 / 4 - 2

⇒ 6 / 2

⇒ 3                                                         .......(1)

So, the slope of the equation is 3 for x1, x2 = 2, 4 and y1, y2 = 1,7

Now, let us consider,

x2 = 2 and x1 = 4 , y1 = 7 and y2 = 1

m = 1 - 7 / 2 - 4

m = -6 / -2

m = 3                                                    ...........(2)

From (1) and (2), we can infer that it does not matter which point you choose for (x₁, y₁).

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Answer: 2

Step-by-step explanation: There are two solutions: 2, and -8/3. 2 is the positive solution.

Answer:

 $3500

Step-by-step explanation:

x = value of diamond with an increase of 5% every year for 8 years

x= 2500(0.05)

x= 125(8)

x = 1000

2500 + 1000 = $3500

The value of the diamond after 8 years is the amount of $3693.63.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To find the value of the diamond after 8 years, we need to calculate the compound interest.

The formula for compound interest is:

A = P(1+r/100)ⁿ

here:

A = final amount

P = principal amount

r = annual interest rate (as a decimal)

t = time in years

Using this formula, we can calculate the value of the diamond after 8 years:

P = 2500

r = 5% = 0.05

t = 8

A = 2500 (1 + 0.05/1)¹ˣ⁸

A = 2500 (1.05)⁸

A = 2500 (1.4775)

A = $3693.63

Therefore, the value of the diamond after 8 years is $3693.63.

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The component form of →s + →t is <-8, 1>

We know that the component form of a vector is the ordered pair that describes the changes in the x- and y-values.

In this question, we have been given two vectors

vector s = < 2, -6>

and vector t = <-10, 7>

We need to find the component form of →s + →t

→s + →t

= < 2, -6> + <-10, 7>

= <2 + (-10), -6 + 7>

= <2 - 10, 1>

= <-8, 1>

Therefore, the component form of →s + →t is <-8, 1>

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Answer:

Center: (2,2)

Radius: 2

Answers:

Center = (2,2)

Radius = 2

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

Explanation:

Consider (A+B)^2 = A^2+2AB+B^2 after using the FOIL rule.

If A = x, then we have (x+B)^2 = x^2+2Bx+B^2

The coefficient of the x term is 2B. It divides in half to get B, and it squares to B^2 as the final term.

In short, if we want to complete the square on something like x^2-4x, then we do two things:

So we go from -4 to -2 after dividing in half, and then from -2 to 4 after squaring. We'll add 4 to both sides to complete the square for the x terms.

[tex]x^2+y^2-4x-4y+4 = 0\\\\(x^2-4x)+(y^2-4y)+4 = 0\\\\(x^2-4x+4)+(y^2-4y)+4 = 4\\\\(x-2)^2+(y^2-4y)+4 = 4\\\\[/tex]

We'll do the same thing for the y terms. Though notice we already have a +4 on the left side. So we can have it absorb into the y terms parenthesis grouping like so

[tex](x-2)^2+(y^2-4y)+4 = 4\\\\(x-2)^2+(y^2-4y+4) = 4\\\\(x-2)^2+(y-2)^2 = 4\\\\[/tex]

Now compare that to the circle template

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

We see that

This circle has its center at (h,k) = (2,2)

The radius is r = 2