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Ainat [17]
3 years ago
9

Identify the equation of the circle that has its center at (10, 24) and passes through the origin.

Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

A )  The Equation of the circle (x−10)2+(y−24)2=676

Step-by-step explanation:

step1:-

The equation of the circle whose center is (a,b) and radius r is

(x-a)^{2} +(y-b)^{2} =r^{2}

(x-10)^{2}+(y-24)^{2}  =676

in this circle equation centre is (g,f) = (10,24)

and formula of radius of a circle is

r = \sqrt{g^{2}+f^{2} -c }

Step2:-

The Equation of the circle (x−10)^2+(y−24)^2=676

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Can someone please help on number 20? WILL MARK YOU AS BRAINIEST. (can you also show how you do the problem?) :(
PSYCHO15rus [73]

Answer:

x =(22-√196)/6=(11-7)/3= 1.333

Step-by-step explanation:

(3x2 -  22x) +  24  = 0

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -22x  its coefficient is  -22 .

The last term, "the constant", is  +24

Step-1 : Multiply the coefficient of the first term by the constant   3 • 24 = 72

Step-2 : Find two factors of  72  whose sum equals the coefficient of the middle term, which is   -22 .

     -72    +    -1    =    -73

     -36    +    -2    =    -38

     -24    +    -3    =    -27

     -18    +    -4    =    -22    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -18  and  -4

                    3x2 - 18x - 4x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-6)

Step-5 : Add up the four terms of step 4 :

                   (3x-4)  •  (x-6)

            Which is the desired factorization

Equation at the end of step 2:

 (x - 6) • (3x - 4)  = 0

STEP 3:

Theory - Roots of a product

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

5 0
3 years ago
Please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Gre4nikov [31]

Step-by-step explanation:

V = 4/3 × 22/7 × 3³

= 4/3 × 22/7 × 27

= 113.14

3 0
3 years ago
Read 2 more answers
What is the total number of digits required in numbering a book that has 1724 pages?
Reptile [31]

Answer:

5,789

Step-by-step explanation:

I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

8 0
3 years ago
Help!!!! Will give brainliest!!!!
Gwar [14]

Answer:

is true your answer hhhhhhhhgghdhxhhchdjfjf

5 0
2 years ago
What is the radius of 81π square inches​
MrRa [10]
It is 9 inches because the formula for the area of a circle is πr2 where the r represents the radius of the circle

The pi can be canceled out =

πr2 and 81 π leaving with

R2 and 81

The r2 represents a square number. So square root 81 and you would result in 9 as your answer
3 0
3 years ago
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