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forsale [732]
3 years ago
9

The circle below is centered at the point (1, 2) and has a radius of length 3.

Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

Step-by-step explanation:

The general circle equation is

(x - h) {}^{2}  + (y - k) {}^{2}  = r {}^{2}

where r is the radius.

Since we know all the information just plug it in the equation above.

(x - 1) { }^{2}  + (y - 2) {}^{2}  =  {3}^{2}

Simplify 3 squared.

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

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What is<br> is 1/4 + 9/10y -3/5y +7/8 written in simplest form?
Leviafan [203]

Answer:

Step-by-step explanation:

\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\

Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8

9/10y and -3/5y are like terms and LCD of 10 , 5 is 10

= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y

5 0
3 years ago
Read 2 more answers
In 2011, U.S. exports of goods and services are $2,094 billion and imports of goods and services are $2,662 billion.
daser333 [38]

Answer:

$-568 billion dollars.

Step-by-step explanation:

2,094 - 2,662= -568.

Hope this helps and good luck!

7 0
3 years ago
The sum of two integers is 6 and the difference between the numbers is 40. Find the numbers
nevsk [136]


Set up a system of equations.

X+y=6
Y-x =40

Substitution method.

Y=6-x

(6-x)-x =40
6-2x=40
-2x=34
X= -17

Plug it back into the equation.
-17+y=6
Y=33

(-17,33) is one of the possible answers.







8 0
3 years ago
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The ratio of girls to boys in the junior high band is 5 to 7. At the beginning of year, there were 72 students in the band. By t
rusak2 [61]
Ratio is 5girls:7boys with total 72 students
5+7= 12
72➗12= 6
6(5:7)= 30 girls : 42 boys

New ratio is 3:4 with 48 boys

48➗4= 12

So for girls 3x12= 36

So started with 30 girls ended with 36 girls... 6 girls joined band during the school year.
7 0
3 years ago
Read 2 more answers
Adi is t inches shorter than sunnee sunnee is n inches taller which expression repesent adies hight in inches
kramer

Answer:

adi's height = n-t inches

Step-by-step explanation:

from this question

we have Adi to be t inches shorter than sunnee.

sunnee's height = n inches tall

to get adis height, we have to subtract the height difference t from sunnee's height.

the height difference is how many inches by which Adi is shorter = t

adies height = sunnee's height, n - difference in height, t

= <em><u>(</u></em><em><u>n-t)</u></em><em><u> </u></em><em><u>inches</u></em>

<em><u>this </u></em><em><u>expression</u></em><em><u> </u></em><em><u>represents</u></em><em><u> </u></em><em><u>adis</u></em><em><u> height</u></em><em><u> </u></em><em><u>in </u></em><em><u>inches </u></em><em><u>.</u></em>

8 0
3 years ago
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