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Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

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

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

[tex](x+1)^{2} +(y-2)^{2} =36[/tex]

the Center is: (-1,2)

and the radius is: [tex]\sqrt{36}[/tex] = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

[tex](x+1)^{2} +(y-2)^{2} =36[/tex]

[tex](x+1)^{2} +(2-2)^{2} =36[/tex]

[tex](x+1)^{2} +(0)^{2} =36[/tex]

[tex](x+1)^{2} =36[/tex]

[tex]x+1 =±\sqrt{36}[/tex]

[tex]x=6-1[/tex]    AND    [tex]x=-6-1[/tex]

[tex]x=5[/tex]          AND    [tex]x=-7[/tex]

second sub x= -1 in the equation to find the values for y:

[tex](x+1)^{2} +(y-2)^{2} =36[/tex]

[tex](-1+1)^{2} +(y-2)^{2} =36[/tex]

[tex](0)^{2} +(y-2)^{2} =36[/tex]

[tex](y-2)^{2} =36[/tex]

[tex]y-2=±\sqrt{36}[/tex]

[tex]y=6+2[/tex]    AND    [tex]y=-6+2[/tex]

[tex]y=8[/tex]          AND    [tex]y=-4[/tex]

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

Answer:

16 units

Step-by-step explanation:

Rectangle perimeter = width + width + height + height = 2 (width) + 2 (height)

To find the length of one of the sides of the rectangle, I am going to find the distance between points A and B.

The y-xoordinates are the same for A and B, so this is a horizontal line. This means we are measuring the width of the rectangle.

To find the distance, we take 3 - -2 = 5 units

So the width of the rectangle is 5 units.

We can do the same thing to find the height of the rectangle using B and C.

They have the same x-coordinates, so the distance between them will be the difference in the y-coordinates.

4 - 1 = 3, so the height of the rectangle is 3.

Finally, to find the perimeter, we do 2(5) + 2(3) = 16 units

The perimeter of the rectangle is 16 units.

I hope this helps!

Synonyms for the word 'input' in math:

Domain and Range

Synonyms for the word 'output' in math:

Range of the function

Explanation:-

The input is the number you feed into the expression

The output is what you get after the look-up work or calculations are finished.

Answer:

40

Step-by-step explanation:

-6 * -6 = 36

2 * 2 = 4

= 40

Answer:

12 different four digit numbers

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

permutations! order required

P(4,4) = [tex]\frac{4!}{(4-4)!} = \frac{4!}{0!} = \frac{24}{1}[/tex]

Answer:

The answer is (5,3) because x=5 and y=3

Answer:

the answer is (5,3).

Step-by-step explanation:

5 by 3 is 15, so there are 15 squares or units.

Answer:

It is 110000 your welcome

Step-by-step explanation:

No explanation need luv

Answer:

Abdullah is correct.

Step-by-step explanation:

The bottle contained originally 12 fl oz, so 12 fl oz is 100%.

The box now contains 20% more, so now it contains 120% of 12 fl oz.

120% * 12 fl oz = 1.2 * 12 fl oz = 14.4 fl oz

Also, 20% is 1/5. Abdullah divided 12 oz into 5 equal parts, and then he added one more 1/5. He interpreted the problem correctly. The amount in the new bottle is the amount of the old bottle plus 20% of that old amount.

Kanna considers the original amount to be 80%. When he adds another 20%, he is adding 1/4 of 12 which is too much. That is why he gets an incorrect answer that is to high. He interpreted the problem incorrectly. For him, the old bottle has 20% less than the new bottle. That is incorrect.

Abdullah is correct.

Supplementary angles are angles that when you add them, make 180 degrees, which is a straight line. They are not to be joined together but added. So if one measures 90 degrees more than another, well what's the answer? I hope this helps.

Answer:

sorry

Step-by-step explanation:

Answer:  D: 360°

An octagon is supposed to have a total of 360°, each side being equivalent to 45°. In conclusion, the exterior angle of this octagon is equivalent to 360°

Answer:

b = 24c

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

80/100 of 10

0.8 × 10 = 8

8 is 80% of 10

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

To find a number such that, it's 80% is 8.

Let the number be x

80%x =8

This forms an equation in one variable which can be solved by transposition.

[tex]80x/100=8[/tex]

On multiplying 100 both sides,

[tex]80x=800[/tex]

On dividing 80 both sides,

x=10

Thus,  80% of 10 is 8.

Learn more about percentage, here:

https://brainly.com/question/16797504

#SPJ6

Answer:

2,960.00

Step-by-step explanation:

5000x7.4x8=2,960.00

hope this helps

Answer and Step-by-step explanation:

To calculate a confidence interval for a proportion:

1) Determine the proportion

[tex]p=\frac{308}{500}[/tex]

p = 0.616

2) A 90% confidence interval has z-score that is 1.645.

3) Calculate margin of error

[tex]ME=\sqrt{\frac{p(1-p)}{n} }[/tex]

where

n is the sample size

So

[tex]ME=\sqrt{\frac{0.616(1-0.616)}{500} }[/tex]

[tex]ME=\sqrt{\frac{0.616(0.384)}{500} }[/tex]

ME = 0.02175

Then the interval is given by

p ± z(ME)

0.62 ± 1.645(0.02175)

0.62 ± 0.035

The interval will be

0.585 < p < 0.655

What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.

Answer:

2S + 0.065(2S)

Step-by-step explanation:

Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S

a tax is a compulsory sum levied on goods and services. tax increases the price of a good

The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)

This gives = 2S + 0.065(2S)

Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S

We want to write two expressions that represent the total cost of the shirts, the expressions are:

Cost = P*(1.065) +  P*(1.065)

cost = P*2.13

We know that Benita buys two shirts for the same price, P.

Then at this moment. the total cost is just:

cost = 2*P

Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:

P' = P*(1 + 6.5%/100%) = P*(1.065)

Then the total cost is twice that amount, written as:

Cost = P*(1.065) +  P*(1.065)

This can be one of the two expressions.

Now to get the other expression, we just simplify the above one:

cost = 2*P*(1.065) = P*2.13

If you want to learn more, you can read:

https://brainly.com/question/20853486

Answer:

Yes, it is an identity

Step-by-step explanation:

Answer:

volume=lxbxh

=6*6*12

=432cm^2

Answer:

-72 is the correct answer

Answer:

C. 7.9 + x

Step-by-step explanation:

Given - A. 7.9x  B. 7.9 · (-10)  C. 7.9 + x  D. - 79

To find - Which expression doesn't belong? Why does it not belong?

Proof -

As given

A.  7.9x

B. 7.9·(-10)

C. 7.9 + x

D. -79

As we can see that Option A, B, D are the multiple of 7.9 but Option C is not the multiple of 7.9

So, Option C does not belong here.

∴ we get

The correct answer is - C. 7.9 + x

Answer:

FD is Congruent to DC

Step-by-step explanation:

Answer:

15.6

0.13 times 120=15.6

Answer:

15.60

Step-by-step explanation:

You multiply 13% and 120.00 to get the answer I hoped that I helped you have a nice day or nigh!

Answer:

45 inches

Step-by-step explanation:

If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.

Answer:

Step-by-step explanation:

Admission for adults is 12 dollars. Admission for kids is eight dollars.One day 575 people entered the cave paying 5600 how many adults into the cave

Answer: x=5

Step-by-step explanation: u can just simplify it