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3 years ago

The center of a circle is at (−3, 1) and its radius is 9. What is the equation of the circle?

Mathematics

1 answer:

jek_recluse [69]3 years ago

7 0

If a circle has center (a,b) and radius r, the equation is

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

So, you have

$(x+3)^2+(y-1)^2=81$

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P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7 <br><br> What does n=

Juli2301 [7.4K]

Answer:

$n = 3$

Step-by-step explanation:

Given:

The equation given is:

$p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7$

We simplify the given equation using the following law of indices:

$a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}$

Therefore,

$p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5$

Since the base on both the sides is same, therefore, their exponents must also be same. This gives,

$n+2=5\\n=5-2\\n=3$

Therefore, the value of 'n' is 3.

5 0

3 years ago

A contractor has made a scale drawing of an addition he will be making to a house. On

Rashid [163]

Answer:

12 ft and 9 ft

Step-by-step explanation:

<u>Scale is:</u>

1 foot = 3/4 inch
1 inch = 1 : 3/4 foot = 4/3 foot

a. The length of the room

9 inches = 9*4/3 foot = 12 feet

b. The width of the room

6 3/4 inches = 27/4 inches = 27/4*4/3 = 9 feet

8 0

3 years ago

. 76 eleventh-grade students turned in term papers on the United States Constitution. 3 students failed, 26 students recieved C'

jek_recluse [69]

The percentage of students who got A’s is 79% it’s just 60/76

8 0

3 years ago

Merrill is playing a simple game of dice. For every 6 rolled, Merrill will win $5. For any other number, he must pay $2. How muc

Schach [20]

Solution -

The probability of getting 6 from a single roll of a fair dice = $\frac{1}{6}$

The probability of getting any other number rather than 6 would be $1-\frac{1}{6} = \frac{5}{6}$

So when the outcome is 6, then he wins $5 ,otherwise he has to pay $2

E(X) = Expectation value = $(\frac{1}{6} )(5) - (\frac{5}{6} )(2)$ ( ∵ $5 gain so +ve and $2 loss so -ve)

= $\frac{-5}{6}$

∴ So Merrill will lose $\frac{5}{6}$ dollar

7 0

4 years ago

Read 2 more answers

The measure of an angle is two times the measure of its complementary angle. What is the

Sedbober [7]

Answer:

30 and 60

Step-by-step explanation:

Complementary angles add up to 90o

x+2x=90

3x=90

x=30

2*30=60

30+60=90

7 0

4 years ago