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First we need to find the distance between two points which is the diameter of the circle .

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Suppose :

a = ( - 4 , 8 )

b = ( 4 , - 4 )

We have following equation to find the distance between two points.

[tex]distance = diameter = d[/tex]

[tex]d = \sqrt{ ( \: {y(b) - y(a)} \: )^{2} + ( \: {x(b) - x(a)} \: )^{2} } \\ [/tex]

Now just need to put the coordinates :

[tex]d = \sqrt{ ({ - 4 - 8})^{2} + ( \: {4 - ( - 4)} \: )^{2} } \\ [/tex]

[tex]d = \sqrt{ ({ - 12})^{2} + ({4 + 4})^{2} } [/tex]

[tex]d = \sqrt{ ({ - 12})^{2} + ({8})^{2} } [/tex]

[tex]d = \sqrt{144 + 64} [/tex]

[tex]d = \sqrt{208} [/tex]

[tex]d = \sqrt{4 \times 52} [/tex]

[tex]d = \sqrt{4 \times 4 \times 13} [/tex]

[tex]d = \sqrt{ {4}^{2} \times 13 } [/tex]

[tex]d = 4 \sqrt{13} [/tex]

This is the diameter of the circle.

We know that :

[tex]diameter = 2 \times radius[/tex]

So :

[tex]4 \sqrt{13} = 2 \times radius[/tex]

Divide sides by 2

[tex] \frac{4 \sqrt{13} }{2} = \frac{2 \times radius}{2} \\ [/tex]

[tex]2 \sqrt{13} = radius[/tex]

Remember it.

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To find the equation of the circle except the radius , we need the coordinates of the centre.

The midpoint of the diameter is the centre of the circle .

So we have to find the midpoint of the diameter .

Look :

[tex]midpoint = center = o[/tex]

[tex]o = ( \: \frac{x(a) + x(b)}{2} \: , \: \frac{y(a) + y(b)}{2} \: ) \\ [/tex]

[tex]o = ( \: \frac{ - 4 + 4}{2} \: , \: \frac{8 - 4}{2} ) \\ [/tex]

[tex]o = ( \: \frac{0}{2} \: , \: \frac{4}{2} \: ) \\ [/tex]

[tex]o = ( \: 0 \: , \: 2 \: )[/tex]

This the coordinates of the centre.

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Equation of the circle has a form like this :

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

In which :

[tex]m = x - coordinate \: \: of \: \: the \: \: center \\ [/tex]

[tex]n = y - coordinate \: \: of \: \: the \: \: center \\ [/tex]

[tex]r = radius[/tex]

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[tex]o = ( \: 0 \: , \: 2 \: )[/tex]

[tex]radius = 2 \sqrt{13} [/tex]

Thus :

[tex] ({x - 0})^{2} + ({y - 2})^{2} = ({2 \sqrt{13} })^{2} \\ [/tex]

[tex] {x}^{2} + ({y - 2})^{2} = 4 \times 13[/tex]

[tex] {x}^{2} + ({y - 2})^{2} = 52 [/tex]

This is the equation of the circle .

And we're done....

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Here is how to find the equation of the line using point-slope form

Formula for the equation of a line in point-slope form: y - y₁ = m(x - x₁)

Now that we have the formula, we plug in what we are given.

y - 9 = 4(x + 3)

We can covert this into slope-intercept form by solving for y.

[tex]y - 9 = 4(x + 3)\\\\y - 9 = 4x + 12\\\\y = 4x + 21[/tex]

Our equation for this line is: y = 4x + 21.

We can prove this by graphing the line, like so:

Answer:

Explained below.

Step-by-step explanation:

There are four red marbles (R) and two green marbles (G) in the bag.

The random variable X is defined as the number of red marbles that Tonya has in her hand after she selects four marbles from the bag.

The probability of selecting a red marble is:

[tex]P(X)=\frac{4}{6}=0.667[/tex]

The sample space of X can be defined as follows:

Outcomes: {(RGGG), (RRGG), (RRRG), (RRRR), (RRGR), (RGRR), (GRRR), (RGRG), (GRRG), (RGGR), (GRGR), (GRGG), (GGRG), (GGGR), (GGGG)}

So, the sample space of X is:

S = {0, 1, 2, 3 and 4}

Answer:

[tex]m=50[/tex]

General Formulas and Concepts:

Pre-Alg

Algebra I

Step-by-step explanation:

Step 1: Define

Point (40, 3000)

Point (60, 4000)

Step 2: Find slope m

Answer:

I have negative points I need this

Step-by-step explanation:

Answer:

Root form

Step-by-step explanation:

If this is precalculus or Algebra 2, then this should be root form

Answer:

factorised form

Answer:

January

Step-by-step explanation:

Answer: true

Step-by-step explanation:

The x column does not have any repeats

Answer:

False!

Step-by-step explanation:

It looks true until the last row. The first 4 rows, if you multiply the # of trees by 13, you get the # of apples. But, in the last row, 12 x 13 is 156, and the table says 146.

According to the Truth in Lending Act, which of the following is the bank NOT obligated to inform you of is:  A. Interest calculating method.

Truth in lending acts is an acts that enables lenders to disclose in  utmost truth  the terms and condition of the loans they offers including all the important or necessary information that a borrower  is expected to know.

The truth in lending acts obligate banks or lenders to inform their borrowers about the following:

Therefore the correct option is A.

Learn more about Truth in lending acts here:https://brainly.com/question/2492099

#SPJ1

Answer:

1.6 m/hr

Step-by-step explanation:

(Time) 1/4 of an hour = .25 or 15 mins

Distance = 2/5 mile or .40

Speed = distance / time

Speed = .40 / .25

Speed = 1.6 m/hr

Answer:

1 3/5 or 1.6 mph

Step-by-step explanation:

2/5 of a mile = 0.4 miles

0.4 x 4 = 1.6 or 1 3/5 (you get the 4 from multiplying 1/4 of an hour by 4 to get one hour)

Answer:

[tex]x=70[/tex]

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

[tex]\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}[/tex]

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

70

Step-by-step explanation:

Cross multiply. 0.3x=0.35x-3.5. Subtract 0.35x to get -0.05x=-3.5. Multiply by -1 to get 0.05x=3.5. And (5/100)x=7/2. Divide by 5/100 to get 700/10=70.

Answer:

the answer of that would be 6

Answer:

Three cups of sugar

Step-by-step explanation:

just times 1 1/2 by 2

Answer:

3

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

both the numerator and denominator can be divided by 2

6/2=3

8/2=4

so 6/8 in lowest terms is 3/4

Answer: C, sin(x), -1

Step-by-step explanation:

Edge;)

Answer:

C

Step-by-step explanation:

just took test :)

Answer:

C (10×4) ÷ 2

Step-by-step explanation:

C is the answer because if you do an equation,

10 multiplied by 4 (10×4)

Then, she wants to share the dolls equally for her brother

This means that you have to multi[ly 4 by 10, so you get 40. If she shares the dolls equally with her brother, she will give him 20 and keep 20 for herself.

C provides the correct answer with 20. 40/2 is 20

Answer:

[tex]f(x)=4x^3+44x^2+136x+96[/tex]

Step-by-step explanation:

Polynomials

It's possible to build a polynomial function by knowing its zeros and leading coefficient.

Given the zeros of a third-degree polynomial: x=x1, x=x2, and x=x3, the function is:

[tex]f(x)=a(x-x_1)(x-x_2)(x-x_3)[/tex]

Where a is the leading coefficient.

We are given the zeros -6, -4, and -1, thus:

[tex]f(x)=a(x+6)(x+4)(x+1)[/tex]

The value of a can be calculated by substituting the point (-2,-32):

[tex]a(-2+6)(-2+4)(-2+1)=-32[/tex]

Calculating:

[tex]a(4)(2)(-1)=-32[/tex]

[tex]-8a=-32[/tex]

Dividing by -8:

[tex]a = -32/(-8) =4[/tex]

a = 4.

The polynomial is now complete:

[tex]f(x)=4(x+6)(x+4)(x+1)[/tex]

Operating:

[tex]f(x)=4(x^2+10x+24)(x+1)[/tex]

[tex]f(x)=4(x^3+11x^2+34x+24)[/tex]

[tex]\mathbf{f(x)=4x^3+44x^2+136x+96}[/tex]

Answer: The correct option is option (B) 1.08(0.87y).

Step-by-step explanation:

The answer is B

100% - 13% = 87% or .87

Tax is 8% or .08

Total cost would be 1 + .08 x .87

or 1.08(0.87y)

Answer:

[tex]\%Increase = 33.25\%[/tex]

Step-by-step explanation:

Given

Initial = 12

Final = 15.99

Required

Determine the percentage increment

This is calculated as thus:

[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]

Substitute values for Initial and Final

[tex]\%Increase = \frac{15.99 - 12}{12} * 100\%[/tex]

[tex]\%Increase = \frac{3.99}{12} * 100\%[/tex]

[tex]\%Increase = \frac{3.99* 100\%}{12}[/tex]

[tex]\%Increase = \frac{399\%}{12}[/tex]

[tex]\%Increase = 33.25\%[/tex]

Hence, the percentage increment is 33.25%

Answer:

A gallon of water is approximately 8.3 pounds. 8.3*15=124.5

So the weight of 15 gallons of water is 124.5 pounds.

Answer:

A gallon of water weighs approx. 8.34 lbs. so 15 gallons would be, let me see, 18.34 equals, 125.10 lbs. Therefore the weight of 15 gallons of water would be 125.20 lbs

Step-by-step explanation:

Answer: in a region with a letter

Step-by-step explanation:

we cannot predict for sure what will happen when we plot the random point.

Answer:

A certain answer would be  in a region with a letter

Step-by-step explanation:

All the sections have letters so, no matter what letter, the point would land in a section with a letter.

Answer:

I think 2+2=4

Step-by-step explanation:

20+2=22 tho

Answer: no

Step-by-step explanation:

2+2= 4

20+2=22

But u can’t get put 2+2 and say 22. Unless it’s 11(2) =22

2500

1,000 divided by 2/5 is 2,500

Answer:

you should put true

Answer:

true

Step-by-step explanation:

5 × 5 × 5 = 5 ^3

Answer:

$11.52

Step-by-step explanation:

16 * .2 = 3.2

16 - 3.2 = 12.8

12.8 * .1 = 1.28

12.8 - 1.28 = $11.52

Take the given amount and take 20% off using the first 2 solutions, then take the "successive" discount of 10% using the second 2 solutions to get the final sale price

Answer:

13/15 of 1 mile, or 0.86666 miles

Step-by-step explanation:

If you are working with fractions, you can take the 2 3/5 miles of beach and convert that to 13/5 (10/5 = 2, then add the 3/5 = 10/5+3/5 = 13/5). Once converted, you can find out how much of that number allows pets by dividing that number by 3, or multiplying the result by 1/3.

13/5 * 1/3 = 13/15.

Another way to do this is to convert the original miles (2 3/5) to a decimal, which gives you 2.6 miles. Then take the 2.6 miles and again, either divide by 3 or multiply by 1/3 (which is basically the same thing). 2.6 ÷ 3 = 0.86666

Hope this helps!