What is the value of f(2)?

Answer:

Center is (3,4)

Radius is √55 which is approximately 7.42

Step-by-step explanation:

First, recall the equation for a circle. The equation for a circle is given by:

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

Where (h,k) is the center and r is the radius.

We have the equation:

[tex]x^2+y^2-6x-8y-30=0[/tex]

Thus, we want to turn this into the circle equation.

To do so, we need to complete the square.

First, put all the x-terms together and all the y-terms together. Also, add 30 to both sides:

[tex](x^2-6x)+(y^2-8y)-30=0\\(x^2-6x)+(y^2-8y)=30[/tex]

Now, complete the square for both of the variables. Recall how to complete the square. If we have:

[tex]x^2+bx[/tex]

We divide b by 2 and then square it. Then we will have a perfect square trinomial. To keep things balanced, we must also subtract what we added.

Thus, for the first term:

[tex](x^2-6x)\\=(x^2-6x+9)-9\\(x-3)^2-9[/tex]

And for the second term:

[tex](y^2-8y)\\=(y^2-8y+16)-16\\=(y-4)^2-16[/tex]

Replace the two terms:

[tex]((x-3)^2-9)+((y-4)^2-16)=30[/tex]

Simplify. Add -9 and -16:

[tex](x-3)^2+(y-4)^2-25=30[/tex]

Add 25 to both sides:

[tex](x-3)^2+(y-4)^2=55[/tex]

This is now in the form of the circle equation.

Thus, the center is (3,4).

And the radius is √55 which is approximately 7.42

Answer:

to be honest I'm not sure

Answer:

560.3

hope it helps

Hi there! :)

Answer:

[tex]\huge\boxed{(-1, 3)}[/tex]

Use the midpoint formula to derive the midpoint of the segment:

[tex](x_{m} ,y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]

Substitute in the coordinates:

[tex](x_{m} ,y_{m}) = (\frac{-3+1 }{2} , \frac{4+2 }{2} )[/tex]

Simplify:

[tex](x_{m} ,y_{m}) = (-1 , 3 )[/tex]

The coordinates of the midpoint are:

[tex](-1, 3)[/tex]

Answer:

Cross multiplication

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Different countries have different metric system of measurement, but the metric system of measurement accepted all over the world is the international system of unit (SI unit)

1 quintal =  220.462 lbs and 1 bushel of corn = 56 lbs.

151 q/ha = (151 × 220.462) lbs/ha = 33289.762 lbs/ha

But 1 hectare = 2.471 acre, hence:

33289.762 lbs/ha = [tex]\frac{33289.762\ lbs}{1\ ha*\frac{2.471\ acre}{1 \ ha} } =13472.182\ lbs/acre[/tex]

Since 1 bushel of corn = 56 lbs, hence:

[tex]13472.182\ lbs/acre=\frac{13472.182\ lbs*\frac{1\ bushels}{56\ lbs} }{acre}=240.6\ bushels/acre[/tex] = 240.6 bu/ac

For a Margin of Error: +/- 1 bu/ac, the bushels per acre = (239.6 bu/ac, 241.6 bu/ac)

Answer:

The answer is

Step-by-step explanation:

Let the measure of it's supplement be x

Supplementary angles sum up to 180° which means the sum of 76° and it's supplement is 180°

To find its supplement add 76° and it's supplement and equate it to 180° to find x

So we have

76 + x = 180

x = 180 - 76

We have the final answer as

Hope this helps you

Answer:

36

Step-by-step explanation:

you would just to 39^2-15^2 which is 1296 and the square root of that is 36 so 36 would be the answer

Answer: A

Step-by-step explanation:

Since we know that T is the midpoint of SU, we know that it bisects SU. Now, we know that it cuts SU in half. With that, we know that ST and TU are equal.

3x=2x+20                                            [subtract both sides by 2x]

x=20                        

Now that we know x, we can plug them in to solve for each segment.

ST

3x                                                        [plug in x=20]

3(20)                                                    [multiply]

60

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

TU

2x+20                                                 [plug in x=20]

2(20)+20                                             [multiply]

40+20                                                  [add]

60

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

SU

60+60=120

We know that SU is ST and TU combines, therefore, we add the values of ST and TU.

Answer:

B. 8(3+1)

Explanation: 8x3 = 24. 8x1 = 8

Answer:

B. 8(3+1) = 32

Step-by-step explanation:

8 x 3 + 8 x 1 = 32

A. 8(3 + 8) = 88

B. 8(3+1) = 32

C. 3(8+1) = 72

D. 1(3+8) = 11

Answer:

Step-by-step explanation:

A Chi-square test is used to test the test of independence between rows and columns, contingency tables. It is a test related to frequencies. The observed frequency is a given statistical frequency known as the actual frequency,  the expected frequency is known as the theoretical frequency is derived from the study by using the sum total of the row and total in the column divided by their corresponding sample size.

Answer:

l = (2b-s)/w

Step-by-step explanation:

s=2b+lw

s-2b=lw

(s-2b)/w= l

[tex]7\frac{12}{25}[/tex]

7.48 = 748⁽⁴/100 = 187/25 = 7  12/25

Answer:

Step-by-step explanation:

 let us apply the interpolation formula to solve this problem

we have

[tex]\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}[/tex]

Now let us set the values to the notation above

x= $1.20

x1= $2.20

x2= $1.50

y = 50 cones

y1= 30 cones

y2= ?

[tex]y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1[/tex]

Substituting our given data we have

[tex]y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2= \frac{20}{-1} (-0.7)+30\\\\y2= (20*0.7)+30\\y2= 14+30\\y2= 44[/tex]

the demand at a price of $1.50 per cone is 44 cones

Answer:   143.8 units²

Step-by-step explanation:

Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:

[tex]Area=\dfrac{1}{2}ac \sin B[/tex]

Given: a = 14, c = 21, B = 87°

[tex]Area=\dfrac{1}{2}(14)(21) \sin 87^o\\\\.\qquad =147\sin 87^o\\\\.\qquad =143.8[/tex]

Answer:

[tex]\huge \boxed{\mathrm{146.8 \ units^2 }}[/tex]

Step-by-step explanation:

We can solve for the area of the triangle when two sides are given and the angle in between the two sides.

[tex]\displaystyle A=\mathrm{\frac{1}{2}ac \cdot sinB }[/tex]

[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 14 \cdot 21 \cdot sin87 }[/tex]

[tex]\displaystyle A=\mathrm{147 \cdot sin87 }[/tex]

[tex]\displaystyle A=\mathrm{146.79854160...}[/tex]

The area of the triangle is 146.8 units².

Answer:

Hey there!

Part A

3(2x-1)+4=7

6x-3+4=7

Part B

6x+1=7

Part C.

6x+1-1=7-1

6x=6

Part D.

6x/6=6/6

x=1

Let me know if this helps :)

Answer:

  3. 6x -3 +4 = 7

  4. 6x +1 = 7

  5. 6x = 6

  6. x = 1

Step-by-step explanation:

3. The distributive property allows you to eliminate parentheses by multiplying the outside factor by every term inside.

  3(2x -1) +4 = 7 . . . . . . given

  3(2x) +3(-1) +4 = 7 . . . . using the distributive property

  6x -3 +4 = 7 . . . . . . . finishing the evaluation of those products

__

4. The only like terms that can be combined are the two constant terms on the left side. We simply add them up.

  6x +1 = 7

__

5. Using the subtraction property of equality, we can subtract 1 from both sides of the equation. We choose to do this so that the x-term is by itself.

  6x +1 -1 = 7 -1

  6x = 6

__

6. Using the division property of equality, we can divide both sides of the equation by 6. We choose to do this so the new coefficient of x is 1.

  6x/6 = 6/6

  x = 1

______

Additional comment

You're told to apply these steps without any explanation as to why or what the goal may be. We assume you're supposed to realize that you can use these steps to solve the equation. Of course, you can use different values for addition (or subtraction) or multiplication (or division). Doing so may satisfy the literal interpretation of the question, but won't get you a solution to the equation.

Answer:

(-1,-2)

Step-by-step explanation:

Ordered pairs go in the order x,y so the 2x would be the first number that then equals the second number. The answer is (-1,-2) because when you multiply 2*-1 you get -2 and what's the y? -2. Does -2 = -2? Yes.

Answer: [tex]x=-2/3[/tex]

Subtract 24x from both sides

[tex]6x-6-24x=24x+6-24x\\-18x-6=6[/tex]

Add 6 to both sides

[tex]-18x-6+6=6+6\\-18x=12[/tex]

Divide both sides by -18

[tex]-18x/-18=12/-18\\x=-2/3[/tex]

Answer: x=-2/3.

Step-by-step explanation:6x-6 = 24х+6                                                                          

6x-6-24x=6                                                                                                                                 -18x-6+6=6+6                                                                                                                               -18x/-18=12/-18                                                                                                                                x=-2/3                                                                                                                                                                                                                                                                            

Answer:

d = 6 days

Step-by-step explanation:

We only have a total of 30 gallons.

We are told that we use 5 gallons per day.

So:

d - days

5d = 30

*Divide both sides by 5*

d = 6

Answer:

Hello☺️!

Step-by-step explanation:

[tex]5 x - 11 = 3x + 3[/tex]

[tex]5x - 3x = 3 + 11[/tex]

[tex]2x = 14[/tex]

[tex]x = \frac{14}{2} [/tex]

[tex]x = 7[/tex]

Answer:

2.16 cm

Step-by-step explanation:

5 through 11 = 6 hours

total of cms  = 13

13/6 = 2.16

Answer:

A

Step-by-step explanation:

|x|< 3 translates to

x < 3 AND -x < 3

which simplifies to

x < 3 AND x > -3

so, yes, -3 < x < 3

Answer:

1600

Step-by-step explanation:

0.3% of 1600 will result to 4.8

Answer:

B.7/2

Step-by-step explanation:

4/3 = 1.3333...

The number is greater than one, but it is NOT a terminating decimal.

7/2 = 3.5

The number is greater than one and terminating.

1/4 = 0.25

The number is terminating but less than one.

13/11 = 1.181818...

The number is greater than one, but it is NOT a terminating decimal.

Option B is the correct answer.

Hope this helps.

Considering that a fraction is a division, the correct option is:

B.7/2

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

To convert the fraction to decimal, we divide the numerator by the denominator.

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

Option A:

[tex]\frac{4}{3} = 1.333333....[/tex]

Greater than one, but non-terminating.

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

Option B:

[tex]\frac{7}{2} = 3.5[/tex]

Greater than one and terminating, thus this is the correct option.

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

Option C:

Denominator greater than the numerator, thus less than one.

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

Option D:

[tex]\frac{13}{11} = 1.1818181818....[/tex]

Greater than one, but non-terminating.

A similar problem is given at https://brainly.com/question/17772407

Answer:

2

Step-by-step explanation:

The gradient of the straight line is equal to (y2-y1)/(x2-x1), where

(x1,y1) and (x2,y2) coordinates of the points A and B which belong to the line.

So y2=2 ,x2=1-2p , y1=2+4p, x1=1

k=(2-(2+4p))/((1-2p)-1)= (2-2-4p)/(1-2p-1)= (-4p)/(-2p)=2

The gradient of the straight line joining (1, 2+4p) to (1-2p, 2) is 2 and this can be determined by using the two-point slope formula.

Given :

Points  --  (1,2+4p) and (1-2p,2)

The following steps can be used in order to determine the gradient of the straight line joining (1, 2+4p) to (1-2p, 2):

Step 1 - According to the given data, the points on the straight line are (1, 2+4p) to (1-2p, 2).

Step 2 - The two-point slope formula can be used in order to determine the gradient of the straight line joining (1, 2+4p) to (1-2p, 2).

Step 3 - The two-point slope formula is given below:

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

Step 4 - Substitute the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\rm m = \dfrac{2-(2+4p)}{1-2p-1}[/tex]

Step 5 - Simplify the above expression.

[tex]\rm m = \dfrac{-4p}{-2p}[/tex]

m = 2

For more information, refer to the link given below:

https://brainly.com/question/3605446

Answer:

[tex]C(D(5))[/tex]

Step-by-step explanation:

Given:

D(p): Items demanded when price is P

C(x): Production cost of x items

Required

Cost of producing when price is $5

First, we need to get the number of items demanded;

To do this, we substitute 5 for P in D(p)

This gives;

[tex]D(5)[/tex]

Next, we determine the production cost;

To do this, we substitute D(5) for x in C(x)

This gives;

[tex]C(D(5))[/tex]

None of the listed options answer the question

Answer:

142,000

Step-by-step explanation:

I would round 300,980 to the nearest thousands place = 301,000

Subtract 301,000 and 159,000 = 142,000

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

length = 99 m

width = 87 m

Substitute the values into the above formula and solve for the area

That's

Area = 99 × 87

We have the final answer as

Area = 8613

Hope this helps you

Answer:   115.2 units²

Step-by-step explanation:

Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:

[tex]Area=\dfrac{1}{2}ac \sin B[/tex]

Given: a = 19, c = 14, B = 60°

[tex]A=\dfrac{1}{2}(19)(14) \sin 60^o\\\\.\quad =133\sin 60^o\\\\.\quad =115.2[/tex]

Answer:

[tex]\huge \boxed{\mathrm{115.2 \ units^2 }}[/tex]

Step-by-step explanation:

We can solve for the area of the triangle when two sides are given and the angle in between the two sides.

[tex]\displaystyle A=\mathrm{\frac{1}{2}ac \cdot sinB }[/tex]

[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 19 \cdot 14 \cdot sin60 }[/tex]

[tex]\displaystyle A=\mathrm{\frac{133\sqrt{3} }{2} }[/tex]

[tex]\displaystyle A=\mathrm{115.18137870...}[/tex]

The area of the triangle is 115.2 units².

Answer:    

(52,1)

(4,49)

(27,3)

(6,24)

(7,19)

(22,4)

key: (r,s)

Step-by-step explanation:

P = 25/500

P = 1/20, or 5%