Suppose (12, 8) and (4, 6) are the endpoints of a diameter of a circle. Which is an equation of the circle?

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Answer:

5x (3-2x^2)

Step-by-step explanation:

so all you have to do is 15x-10x=5x right?, then all you have to do is 15/5=3. 10x/5x=2x. then subtract 1 from the exponents. then you get the answer. okay Im sure about the fist part and the divison but not the exponents, I did use a calculator to check it though.

The factorize equation is, [tex]\rm 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0[/tex].

The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

Given that,

Equation; [tex]\rm 15x - 10x^3[/tex]

We have to determine,

Factorize the equation and factor of the equation.

According to the question,

To factorize the equation and determine the factor of the equation following all the steps given below.

Equation; [tex]\rm 15x - 10x^3[/tex]

                   [tex]\rm = 15x - 10x^3 = 0 \\\\= 5x (3-2x^2) = 0[/tex]

                   [tex]\rm = 5x (3-2x^2) = 0\\\\ = 5x (\sqrt{3} - \sqrt{2x}) (\sqrt{3}+\sqrt{2x}) = 0[/tex]

                    [tex]\rm = 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0\\\\ The \ roots \ of \ the \ equation \ are;\\\\5x = 0, \ x = \dfrac{0}{5}, \ x =0\\\\\\[/tex]

                    [tex]\sqrt{3} - \sqrt{2x} = 0, \sqrt{2}x = \sqrt{3}, \ x = \dfrac{\sqrt{3} }{\sqrt{2} }\\\\ \sqrt{3} +\sqrt{2x} = 0, \sqrt{2}x = -\sqrt{3}, \ x =- \dfrac{\sqrt{3} }{\sqrt{2} }[/tex]

Hence, The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

For more details refer to the link given below.

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The polynomial in descending order would be:

x^12 + 3x^7 + 4x^3-9x.

It all has to do with their degrees (exponents).

I don't know what the answer choices are because you didn't post them, but that is the answer.

I hope this helps.

Answer:

23/33 x 10/33 = 21/100

Probability of A and B (independent events): p(A and B) = p(A) * p(B).

P(Foreign language | Sport) would mean P for probability

We use P in questions

and P in answer format.

We Know that F Union S F Union Sport = All in A + B and both = 47

The probability in both means you need to subtract the middle values as they are in both and repeated. It also becomes a special  

Union. The union of two or more sets is the set that contains all the elements of each of the sets; an element is in the union if it belongs to at least one of the sets. The symbol for union is ∪ , and is associated with the word “or”, because A∪B A ∪ B is the set of all elements that are in A or B (or both.)

Answer:

D

Step-by-step explanation:

if something is multiplied by 1.025 it is increasing by 2.5 percent

Answer:

D , 2.5%

Step-by-step explanation:

1.025 - x = 1; x = .025; as a percent = .025 * 100 = 2.5%.

Answer:

C

Step-by-step explanation:

Two secants drawn to a circle from a common external point, then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

5(5 + x) = 4(4 + 10) = 4 × 14 = 56

25 + 5x = 56 ( subtract 25 from both sides )

5x = 31 ( divide both sides by 5 )

x = 6.2 → C

Answer:

Step-by-step explanation:

No of cubes that can fit into rectangular prism =   Volume of rectangular prism

                                                                                   Volume of cube

Find the volume of rectangular prism and divide that by the volume of cube

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

Answer: 37.6991118

Step-by-step explanation:

Answer:

dependent and 2/7

Step-by-step explanation:

dependent because you didn't replace it.

1/2 times 4/7 which is 4/14 which equals to 2/7

Answer:

EK = 1.

Step-by-step explanation:

Here we have KP = PE (tangents from outside the circle)

Therefore, 2KP = PE + 1 = KP + 1

Hence, 2KP - KP = 1 or KP = 1 = PE

Since KE is the base of triangle KPE, where  ∡ KPE = 60, and KP = PE, we have an isosceles triangle such that ∡PKE = ∡PEK

Hence, in ΔKPE, ∡KPE + ∡PKE + ∡PEK  = 180

Therefore, 60° + ∡PKE + ∡PEK  = 180

Hence, ∡PKE + ∡PEK  = 180° - 60° = 120°

Because ∡PKE = ∡PEK, (base angles of isosceles triangle), we have;

∡PKE + ∡PEK = 2·∡PEK = 120° which gives

∡PEK = 60° = ∡PKE

Therefore, ∡KPE = ∡PEK = ∡PKE = 60°

Hence, ΔKPE is an equilateral triangle and KP = PE = EK = 1

EK = 1.

Answer:

Step-by-step explanation:

length² + width² = diagonal²

24² + width² = 40²

576 + width² = 1600

width² = 1600 - 576

width² = 1024

width = √1024 = √32*32

width = 32"

Width of the TV is more than 30"

Answer:

32

Step-by-step explanation:

First off, Bruh, 30" is not prime prime. That's 30 inches.

The base of the TV is 32. This is because A^2+B^2=C^2. 24 is A, 40 is C, and the base is B.

So that means that is we take 24^2 and the base^2, we should get 40^2. 40^2 is 1600. 24 squared is 576. So if we take the base and square it and add 576, we should get 1600. Or we could just take 1600 and subtract 576.

1600-576=1024.

So now, the root of 1024 is the base. Which is 32. Hope that helped.

Answer:

Height of tree =  28.2 ft (Approx)

Step-by-step explanation:

Given:

Angle from ground to top of the tree = 62°

Distance from a point to base of tree = 15 ft

Height of tree = [tex]X[/tex]

Find:

Height of tree = [tex]X[/tex]

Computation:

Using trigonometric application:

[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]

Height of tree =  28.2 ft (Approx)

Answer:

M=25-3D

Step-by-step explanation:

Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.

Answer:

9

Step-by-step explanation:

13.5 / 1.5 = 9

Answer:

[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]

Given:

Distance travelled = 13.5 miles

Time taken = 1.5 hours = 1.5 × 60 = 90 minutes

Step-by-step explanation:

[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]

Answer:

Its addition I think so the answer would we 16.7399km for both trials

Step-by-step explanation:

Answer:

The loan was $28184.81

Step-by-step explanation:

Let the loan amount be x

Rate of interest on Loan = 9%

Time = 8 years

Amount of loan over 8 years = $56160

Formula : [tex]A=P(1+r)^t[/tex]

Where A = Amount =56160

P = Principal = x

r = rate of interest = 9% = 0.09

t = time = 8 years

Substitute the values in the formula :

So,[tex]56160=x(1+0.09)^8[/tex]

[tex]\frac{56160}{(1+0.09)^8}=x[/tex]

$28184.81=x

Hence The loan was $28184.81

The given graph shown in the image is of function y = cotx. Option D is correct.

Given that,
To determine the function whose curve is plotted in the graph.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.

Thus, the given graph shown in the image is y = cotx. Option D is correct.

Learn more about graphs here:

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Answer:

Attention for the conditions:

[tex]x^{2} -15>0\\2x>0\\so\\x>0[/tex]

Step-by-step explanation:

we have

[tex]log(x^{2}-15)= log(2x)\\\\x^{2} -15 = 2x\\\\x^{2} -5x+ 3x-15=0\\ (x^{2}-5x)+(3x-15)=0\\ x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\\x-5=0, x=5 \\\\x+3=0, x= -3[/tex]

So the solutions are 5 because x>0

Answer:

100,000

Step-by-step explanation:

I don't think they're give you 70 or 100,000 kernels so either 120 or 200. But if I had to choose one, it'd be 120 kernels.

Answer:

[tex]AC=13.5[/tex]

Step-by-step explanation:

Use the Law of Sines as follows:

[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]

Insert the values (use the steps from the last problem):

[tex]\frac{sin25}{14} =\frac{sin24}{b}[/tex]

Isolate b. Multiply both sides by b:

[tex]b*(\frac{sin25}{14} )=b*(\frac{sin24}{b})\\\\b*\frac{sin25}{14}=sin24[/tex]

Multiply both sides by 14:

[tex]14*(b*\frac{sin25}{14})=14*(sin24)\\\\b*sin25=14*sin24[/tex]

Isolate b. Divide both sides by sin 25:

[tex]\frac{b*sin25}{sin25} =\frac{14*sin24}{ysin25} \\\\b=\frac{14*sin24}{sin25}[/tex]

Insert the equation into a calculator and round to the nearest tenth:

[tex]b=13.5[/tex]

The length of AC is 13.5 units.

:Done

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

Step-by-step explanation:

Total marbles = 25

Probability of white marble = 3/ 25 = 0.12

Answer: 3

This is the answer if you think its wrong i don't know its correct i got it right

Answer: $3.6

Step-by-step explanation:

Hi, to answer this question, first we have to calculate watt hours per day:

200 wph x 4 hours = 800 watt hours

Now, we have to convert the watt-hours to kilowatt hours:

800 wh /1000 =0.8 kwh

Since he watches TV 30 days per month:

0.8 kw x 30 days = 24 kwh

Finally we have to multiply that result by the price per kilowatt hour (15 cents)

24 kwh x 15 cents = 360 cents

Converting to dollars:

360/ 100 = $3.6

Lee’s TV cost 3.6 dollars to operate for a month of 30 days

Answer:

C. 4(x-3)

Step-by-step explanation:

Answer:

The correct answer is A, Point P

Step-by-step explanation:

since the additive inverse of 2 is -2 because -2 + 2 = 0 the correct choice must be choice A, Point P.

Answer:

x=-3

<ABD=88

<CBD=23

Step-by-step explanation:

We know that <ABC is made up of 2 angles: <ABD and <CBD.

We also know that the m<ABC is 111.

Therefore, <ABD and <CBD added together must equal 111.

<ABD+ <CBD =111

We know that <ABD is -10x+58 and <CBD is 6x+41, so we can substitute these in.

-10x+58+6x+41=111

Combine like terms

(-10x+6x)+(58+41)=111

-4x+99=111

Now we need to solve for x. First, move all the constants to the same side. Subtract 99 from both sides, since 99 is being added to -4x.

-4x+99-99=111-99

-4x=12

Next, divide both sides by -4, since -4 and x are being multiplied.

-4x/-4=12/-4

x=-3

Now we know x, and can substitute it in to find the angle measures.

<ABD

-10x+58

-10(-3)+58

30+58

88

<CBD

6x+41

6(-3)+41

-18+41

23

[tex]m \angle ABD = 88^{\circ}\\m \angle CBD = 23^{\circ}[/tex]

Given:

m∠ABC = 111∘

m∠ABD = (-10x+58)∘

m∠CBD = (6x+41)∘

First, find the value of x by creating an equation

Thus:

[tex]m\angle ABD + m \angle CBD = m \angle ABC[/tex] (angle addition postulate)

Substitute

[tex](-10x+58) + (6x+41) = 111[/tex]

Solve for x

[tex]-10x+58 + 6x+41 = 111[/tex]]

Add like terms

[tex]-10x+58 + 6x+41 = 111\\-4x + 99 = 111\\-4x = 111 - 99\\-4x = 12\\[/tex]

Divide both sides by -4

[tex]x = -3[/tex]

Find m∠ABD and m∠CBD by plugging in the value of x

[tex]m\angle ABD = -10x + 58 \\m\angle ABD = -10(-3) + 58 \\m\angle ABD = 88^{\circ}[/tex]

[tex]m \angle CBD = 6x + 41\\m \angle CBD = 6(-3) + 41\\m \angle CBD = 23^{\circ}\\[/tex]

Therefore:

[tex]m \angle ABD = 88^{\circ}\\m \angle CBD = 23^{\circ}[/tex]

Learn more here:

https://brainly.com/question/4208193

Answer:

8 outcomes

Step-by-step explanation:

A coin has two possible outcomes: heads or tails.

The spinner has four possible outcomes: 1, 2, 3 or 4.

If we combine then, the number of outcomes will be the product of their number of outcomes:

2 * 4 = 8

So we will have a total of 8 outcomes:

heads, 1 / heads, 2 / heads, 3 / heads, 4 /

tails, 1 / tails, 2 / tails, 3 / tails, 4

------------------------------------------------

-3x - 3 <-63

Add 3 to both sides:

-3x-3+3 < -63+ 3

Simplify:

-3x < -60

Multiply both sides by -1:

(reverse the inequality)

(-3x)(-1) > (-60)(-1)

Simplify:

3x > 60

Divide both sides by 3:

3x/3 > 60/3

Simplify:'

x > 20

Your Answer Is x > 20

plz mark me as brainliest if this helped :)

Answer:

x = 1/2

Step-by-step explanation:

-3= 4x - 5 becomes 5 - 3 = 4x when 5 is added to both sides.  Then:

2 = 4x, and x = 2/4, or x = 1/2.

The solution of the linear equation -3= 4x - 5 is x = 1/2.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

An equation: -3 = 4x - 5.

Simplifying,

by using substitution,

4x - 2 = 0

This is a one variable linear equation. Where x is a variable.

In order to solve the equation:

Simplifying,

4x  = 2

x = 1/2

Therefore, the solution of the equation is 1/2.

To learn more about the linear equation;

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Answer:

see below

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

FOIL

8(n^2 +2n+4n+8) = 1144

Divide each side by 8

8/8(n^2 +2n+4n+8) = 1144/8

(n^2 +2n+4n+8) = 143

Combine like terms

n^2 +6n+8 = 143

Subtract 143 from each side

n^2 +6n+8 -143= 0

Combine like terms

n^2 +6n -135 =0

Factor

What two terms multiply to -135 and add to 6

-9*15 =-135

-9+15 = 6

(n-9) (n+15) =0

Using the zero product property

n-9 =0    n+15=0

n = 9   n=-15

The length cannot be negative so n = -15 cannot be  a solution

n =9

Answer:

n = 9

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

(n + 2)(n + 4) = 143

n² + 2n + 4n + 8 = 143

n² + 6n - 135 = 0

n² + 15n - 9n - 135 = 0

n(n + 15) - 9(n + 15) = 0

(n - 9)(n + 15) = 0

n = 9, -15

since n is a length, it can not be negative

Therefore the only solution is n = 9