Write the equation of a circle whose center is at (6,-7) and whose radius is 4.

Answer:

65

Step-by-step explanation:

the angle on top is the same  because the lengths of the lines that meet to "H" are the same.

Answer:

38.5

Step-by-step explanation:

b^2= 29^2+20^2-2×20×29× Cos 102

b^2=841+400-1160 (-0.2079)

=1241- 241.164

b^2=1482.164

b= square root of 1482.164

AC = 38.5

Answer: 36, 37, 38

Step-by-step explanation:

x + (x + 1) + (x - 1) = 111

x + x + 1 + x - 1 = 111

3x = 111

x = 37

Answer:

Bob and Charlotte are raising their grandchildren after their daughter dies.The children are moved from California to a farm in Nebraska. The three children are struggling with school, life on a farm and their mother’s death. Sam is having trouble working with his son and new ideas for the farm. Charlotte doesn’t want to make the same mistakes she made with her own children.Their faith and help from friends help. The one thing that stood out was how overworked Charlotte is with no help or time to herself.

Given:

The given equation is:

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

To find:

The solution for the given equation.

Solution:

We have,

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

On simplification, we get

[tex]\sqrt{2x}=2\sqrt{x-1}[/tex]

Squaring both sides, we get

[tex]2x=4(x-1)[/tex]

[tex]2x=4x-4[/tex]

[tex]2x-4x=-4[/tex]

[tex]-2x=-4[/tex]

Divide both sides by -2.

[tex]x=\dfrac{-4}{-2}[/tex]

[tex]x=2[/tex]

Therefore, the correct option is B.

Choice C is the correct answer because

[tex]\frac{(6+2)^3-12}{5}\\\\\frac{(8)^3-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100\\\\[/tex]

So in short, [tex]\frac{(6+2)^3-12}{5}=100\\\\[/tex]

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

The mistake Jerry likely made was that he only cubed the 2 and didn't realize the 6 was part of that cubing process. It seems he didn't add first and decided to cube before adding.

This is probably what steps Jerry did

[tex]\frac{6+2^3-12}{5}\\\\\frac{6+8-12}{5}\\\\\frac{14-12}{5}\\\\\frac{2}{5}\\\\[/tex]

But as mentioned, those steps are incorrect because the 6 is part of the cubing operation. In other words, Jerry should have added the 6+2 first before cubing afterward (due to PEMDAS determining the order of operations).

Or you could think of it like this

[tex]\frac{(6+2)^3-12}{5}\\\\\frac{(6+2)(6+2)(6+2)-12}{5}\\\\\frac{(8)(8)(8)-12}{5}\\\\\frac{512-12}{5}\\\\\frac{500}{5}\\\\100[/tex]

Answer:

The answer is:

[tex]f(x)=2x^{2}-8x+6[/tex]

Step-by-step explanation:

The equation of a parabola in the intercept form is given by:

[tex]y=a(x-p)(x-q)[/tex]

Where:

p and q are x-intercepts

Now, we know the parabola intercepts at x=1 and x=3.

So we will have:

[tex]y=a(x-1)(x-3)[/tex]

Using the point (-1,16) we could find the value of a.

[tex]16=a(-1-1)(-1-3)[/tex]

[tex]16=a(-2)(-4)[/tex]

[tex]16=8a[/tex]

[tex]a=2[/tex]

Therefore, the equation is:

[tex]y=2(x-1)(x-3)[/tex]

[tex]y=2(x^{2}-4x+3)[/tex]

[tex]y=2x^{2}-8x+6[/tex]

The answer is:

[tex]f(x)=2x^{2}-8x+6[/tex]

I hope it helps you!

Answer:

2 and 3.

Step-by-step explanation:

2. and 3.

the total number of paintings depend upon the number of weeks that have passed as she adds 3 paintings every week to her collection.

1. can't be an option as output values depend upon the input values and hence not independent

4. can't be an option because each week that passes she adds 3 more paintings and since one input has 3 outputs, its not a function.

5. the number of weeks is the input value and number of paintings is the output value as you can later SEE how many paintings she has, not how many weeks it took her.

Answer:

(B, C, D)

Step-by-step explanation:

This scenario can be represented using this equation:

y = 3x + 7

y = total paintings after # of weeks (dependent variable)

x = # of weeks (independent variable)

3 = 3 paintings per week

7 = initial number of paintings

Let's evaluate each answer choice:

"The independent variable is represented by the ouput values"

No, this is wrong. The indepedent variable is the input values.

"The dependent variable is the total number of paintings"

This is correct. The total # of paintings is the output value, or the dependent variable.

"The total number of paintings depends on the number of weeks that have passed"

This is correct. The total # of paintings is the output value, or the dependent variable, because it depends on the # of weeks that pass by.

"This scenario is a function because for each week that passes, there will be exactly one total number of paintings"

This is correct. There is only one possible output for each input.

"The number of weeks is the output value"

No, this is wrong. The total # of paintings is the output value, not the # of weeks.

Hope it helps (●'◡'●)

Answer:

0.1376

Step-by-step explanation:

We will use the binomial formula here

Where p = 37% = 37/100 = 0.37

1-p = 1-0.37 = 0.63

So we have

P(x = 5) = 9C5 * 0.37^5 * 0.63^4 = 0.1376

Answer:

The helicopter costs 54 dollars and 9% of 54 is 4.86.

Step-by-step explanation:

9% of what number = 4.86

... is equivalent to:

9% × ? = 4.86

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

- Percent (%) means 'out of one hundred'-

(100 × 4.86) ÷ 9 =

486 ÷ 9 =

54

Answer:

3 or

C

Step-by-step explanation:

(45 - 3x)^1/2 = x - 9                     Square both sides

45 - 3x = x^2 - 18x + 81               Switch sides

x^2 - 18x + 81 = 45 - 3x               Add 3x to both sides

x^2 - 15x + 81 = 45                      Subtract 45 from both sides

x^2 - 15x + 36 = 0                       Factor

(x - 12)(x - 3) =0

The answers are

x = 12

x = 3

Now the question asks which is extraneous. The answer will be which ever number won't solve the original equation. Looking at it right now, both look OK.

(45 - 3*12)^1/2 = 12 - 9

(45 - 36)^1/2 = 3

(9)^1/2 = 3

So 12 is a proper solution.

What about 3?

(45 - 3*3)^1/2 = 12 - 3

(45 - 9)^1/2 = 9

36^1/2 = 9

6 does not = 9

The extraneous solution is x = 3

Answer:

330 television set

Step-by-step explanation:

Last month production = 880 television sets

This month production = 1,210 television sets

The increase in production from last month to this month = This month production - Last month production

= 1,210 - 880

= 330

The increase in production from last month to this month = 330 television set

As per linear equation, the increase in production of television of the factory is 330.

A linear equation is an equation where the variable has the highest power of 1.

Given, a factory produced 880 television sets last month.

This month, the same factory produced 1,210 television sets.

Therefore, the increase in production of television of the factory is

[tex]= (1210-880)\\= 330[/tex]

Learn more about a linear equation here: https://brainly.com/question/11203335

#SPJ2

Answer:

D.

Step-by-step explanation:

She cannot buy a negative number of notebooks. She can buy 0 notebooks, or 1 notebook, or 2, or 3, etc. The number of notebooks she buys must be a non-negative integer.

Answer: D.

Answer:

mine ended june 9th but i got summer school for 2 classes lol

School ended the 15 of June but I'm in summer school rn it ends this Friday

Answer:

7 in.

Step-by-step explanation:

2L + 2W = 16

Try L = 7

2(7) + 2W = 16

14 + 2W = 16

2W = 2

W = 1

If the length is 7 in., then the width is 1 in. That is perfectly acceptable, so L = 7 in. is a good value.

Try L = 8

2(8) + 2W = 16

16 + 2W = 16

2W = 0

W = 0

A length of 8 would make a width of 0. You can't have a rectangle with 0 width, so L = 8 does not work.

When L = 9 or L = 10, the width would be negative. The width of a rectangle cannot be a negative number, so these values doe not work.

Answer: 7 in.

Step-by-step explanation:

everything can be found in the picture

Answer:

The number of quarters required to pile up to 2 km are 1000000.

Step-by-step explanation:

Diameter of each quarter = 2 mm

Total height = 2 km

Number of quarters required is given by

[tex]\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000[/tex]

Answer:

a= (π/4) + (kπ/2)

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

9514 1404 393

Explanation:

This is an identity.

  cos²(A) +cos²(A)cot²(A) = cot²(A)

Transforming the left side, we have ...

  = cos²(A)(1 +cot²(A))

  = cos²(A)csc²(A)

  = (cos(A)/sin(A))²

  = cot²(A)

Step-by-step explanation:

solve for what ?? do you mean graph the function??

Answer:

(y-1)

Step-by-step explanation:

simplified you split y^2-1y+-4y+4 this is further simplified by splitting equation into y(y-1)   -4(y-1) this leaves you with (y-4)(y-1)/(y-4) y-4 will cancel out and you are left with y-1

7

Step-by-step explanation:

To solve this you need to use trigonometry:

1. Identify the sides. In this case, x is opposite and 10 is adjacent.

2. Identify which part of SOHCAHTOA you need to use. In this case, you need to use TOA.

3. Form your equation. In this case, x = tany x A

4. Substitute numbers into your equation. In this case, x = tan35° x 10

5. Calculate this equation using a scientific calculator. In this case the answer is 7.

Answer:

C

Step-by-step explanation:

In order to prove congruency using SSS, we need to prove that all three pairs of sides are congruent.

We are already given that EF ≅ HI and that FG ≅ IJ.

Therefore, the last bit of information we need to prove congruency using SSS is that EG ≅ HJ.

Hence, our answer is C.

Answer:

(12, 2 )

Step-by-step explanation:

Given (x, y ) on the graph of f(x) , then on the inverse function

(x, y ) → (y, x ), then

(2, 12 ) → (12, 2 ) ← point on g(x) the inverse function

Answer:

A

Step-by-step explanation:

The domain is all real numbers and the range is all real numbers greater than zero

The domain is {x| all real numbers} and the range is {y| y > 0}

The domain of a function is the set of inputs that we can use in the function. To find it, we initially assume that it is the set of all real numbers, and then remove the problematic values of x.

For example, a problematic point would be a value of x that causes the denominator to be equal to zero.

In this particular case, we can see that the variable is in the exponent, thus it can take any real value and it will not cause any problem, so the domain is the set of all real numbers.

The range is the set of possible outputs. Because in this case, the base is a positive number, the outcomes will only be positive, then the range is given by:

y > 0.

So the correct option is A.

If you want to learn more about range and domain, you can read:

https://brainly.com/question/1770447

Answer:

the curse of dimensionality

Step-by-step explanation:

the cause of dimensionality has to do with the different phenomena that comes up whenever data is to be analyzed or organized in high dimensional spaces which do not happen in low dimensional spaces. This curse can be explained simply as having error increase just as there are increases in the number of features. when the features we have is more than the observations, it could cause the model to be overfitted.

Answer:

(-1,-1)

Step-by-step explanation:

Step 1 identify coordinates of A

A is located at ( -3 , -3 )

Step 2 apply dilation by multiplying the x and y values of coordinate A by the scale factor

Given:

scale factor = 1/3

Coordinates of A: ( -3 , -3 )

* Multiply the x and y values by 1/3 *

( -3 * 1/3 , -3 * 1/3 ) -------> ( -1 , -1 )

The new coordinates would be (-1,-1)

multiply the coordinates of A by the scale factor given

Answer: X= 3/4

Simplified: 1/3

Answer: 6(1,2,3)

Step-by-step explanation: