I need help with this

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]   (1)

where (h,k) is the center of the circle and r is the radius.

You have the following equation:

[tex]x^2+(y+4)^2=64x[/tex]   (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

[tex]x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2[/tex]

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

Answer:

0 = x2 - 9x + 20

Step-by-step explanation:

y + 5x = x² + 10     Simplify this equation

  - 5x   - 5x

y = x² - 5x + 10

Set both equations equal to each other since they both equal y

x² - 5x + 10 = 4x - 10

    -4x           - 4x

x² - 9x + 10 = -10

         + 10   + 10

x² - 9x + 20 = 0

If this answer is correct, please make me Brainliest!

Answer:

1/4 of the cake.

Step-by-step explanation:

Since he ate 1/3 of 3/4 of the chocolate cake, we will need to multiply fractions to solve this.

[tex]\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}[/tex]

Therefore, he ate 1/4 of the entire cake.

Answer:

Step-by-step explanation:

Answer of this question is 2

Answer:

Step-by-step explanation:

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].

Answer:

10

Step-by-step explanation:

10 x 2 = 20

10 = 20 / 2

Answer:

10

Step-by-step explanation:

2×1=2

2×2=4

2×3=6

2×4=8

2×5=10

2×6=12

2×7=14

2×8=16

2×9=18

2×10=20

Answer:

23

Step-by-step explanation:

Answer:

Photoreceptors

Step-by-step explanation:

This is the answer but I don't see it on there . . .

Question:This is a light sensitive tissue that lines the back of the eye

Answer: Retina

Answer: 75

Step-by-step explanation: 7.20+7.80=15 then 15+60=75

Write the equations:

a +c = 15

a = 15-c

29.95a + 21.95c = 353.25

Replace a in the last equation:

29.95(15-c) + 21.95c = 353.25

Simplify:

449.25 - 29.95c + 21.95c = 353.25

449.25 - 8.00c = 353.25

Subtract 449.25 from both sides:

-8.00c = -96.00

Divide both sides by -8.00:

c = -96 / -8

c = 12

There were 12 children.

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]

-4x + 60 = 0

-4x = -60

[tex] x = \frac{-60}{-4} = 15 [/tex]

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

Answer:The answer will be 35ft

Step-by-step explanation:

One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.

Answer:

d. 13 raise power 3/5

Step-by-step explanation:

Answer:

He needs to sell at least 49 mugs.

Step-by-step explanation:

Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.

Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:

→ 3x > 144, x represents the number of coffee mugs

→ x > 48

→ x must be at least 49

Answer:

[tex]28\sqrt{2}[/tex]

Step-by-step explanation:

To answer this question, you must split 98 into 2 factors:

                                                      98

                                                 2          49

                                                          7       7

2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:

[tex](7)4\sqrt{2}[/tex]

[tex]28\sqrt{2}[/tex]

Answer:

Step-by-step explanation:45

Answer:

About 0.17

Step-by-step explanation:

Rolling a 5: 1/6

1/6=0.166666...

Therefore, about 0.17

I hope this helped and have a good rest of your day!

Answer:

what is the figure my guy

Step-by-step explanation: blah blah blah math blah blah blah

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

Answer: it is not a right triangle

12^2=7^2+10^2

144=49+100

144=149

To prove this we try the pitagor teorem which the largest side is the hypotenuse

It is not a right triangle.

We have given that,

The triangle has side lengths 7, 10, and 12.

[tex]hypotenous^2=side^2+side^2[/tex]

12^2=7^2+10^2

144=49+100

144=149

The pitagor theorem which the largest side is the hypotenuse.

To learn more about the triangle visit:

https://brainly.com/question/2217700

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Answer:

x = 15/2

Step-by-step explanation:

2x + 15 = 30

2x = 15

x = 15/2 or 7.5

Answer:

7.5

Step-by-step explanation:

2x+15=30

2x=30-15

2x=15

x=7.5

Answer:

the graph translated down 3 or y-3

Step-by-step explanation:

(-3) is the y-intercept

Answer:

324 in^2

Step-by-step explanation:

If you transfer the 9 ft to inches you get 108 in

108x3=324

Answer:

21

Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.

Answer:

x=2

Step-by-step explanation:

4x+6=x+12

-x         -x

3x+6=12

    -6  -6

3x=6

/3   /3

x=2

Answer:

x=2

Step-by-step explanation:

4x+6 = x+12

Subtract x from each side

4x-x +6 =x-x+12

3x +6 = 12

Subtract 6 from each side

3x+6-6=12-6

3x = 6

Divide each side by 3

3x/3 =6/3

x =2

Answer:

x = 7

y = 8

Step-by-step explanation:

Knowing that the mean is equal to the median, we can formulate the following equation:

⅕(4 + 6 + x + y + 10) = x

Simplifying it, we get:

y = 4x - 20

Now, we know that both x and y are between 6 and 10 and that y is greater than x;

Mathematically, we have the conditions:

6 =< x =< 10

6 =< y =< 10

y > x

If we apply the second condition, i.e. the restrictions on the y-values, we find that x has to be between 6.5 and 7.5, i.e. 6.5 =< x =< 7.5;

This means x has to 7 since it can only be a whole number and this is the only whole number between 6.5 and 7.5;

Once we know this, we can find y simply by subbing it into the equation formulated previously:

y = 4(7) - 20

y = 8

Since it is a perfect square trinomial, it is of the form:

a^2x^2-2abx+b^2 which simplifies to (ax-b)^2

Therefore:

sqrt(a)=sqrt(25)=5

sqrt(b)=sqrt(36)=6

Plug in a and b:

(ax-b)^2

(5x-6)^2

Test to make sure it did fit the formula:

-2abx=-60   (where x is 1)

-2(5)(6)=-60

-2(30)=-60

-60=-60

Answer:

(5x-6)^2

Answer:

{(2^4) }^2

=16^2

= 256

................

Answer:

256

Step-by-step explanation:

Answer:

yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much

Step-by-step explanation: