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Mazyrski [523]
3 years ago
9

What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0

Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

Step-by-step explanation:

(x²-6x)+(y²+8y)=-21

(x²-6x+9)+(y²+8y+16)=-21+9+16

(x-3)²+(y+4)²=4

center=(3,-4),radius=√4=2

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If Nancy needs 3/1/4 cups of oatmeal,how many 1/4 cups of oatmeal will she use
PIT_PIT [208]
The answer is 12 1/4. how I got my answer.

Their are 4 quarters to a whole, so that means all I have to do is multiply 4×3=12, then add 1/4+12= 12 1/4.

I hope this helps!
8 0
3 years ago
The diameter of a circle is 24 feet. What
kupik [55]
<h3>Answer: Circumference is approximately 75.36 feet</h3>

=======================================================

Work Shown:

d = diameter = 24 ft

pi = 3.14 approx

C = circumference of circle

C = pi*d

C = 3.14*24

C = 75.36 feet

3 0
3 years ago
ANSWER FOR 20 POINTS!
Eva8 [605]
C d b a are the answers hope I helped
7 0
3 years ago
Feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second.
PIT_PIT [208]

The equation that  shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the time in seconds for the bird feather to reach 10 feet.

Hence:

y = -2x + 10

The equation that  shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
1 year ago
I've tried to get the answer for this 13 times now (not joking), plzzz help: write a formula that represents the number of peopl
gtnhenbr [62]

Answer:

  • 2820 seats
  • aₙ = 3n + 9

Step-by-step explanation:

<u>This is an AP with:</u>

  • The first term a₁ = 12
  • Common difference d = 3
  • Number of terms n = 40

<u>Number of the seats:</u>

  • Sₙ = 1/2*n(a₁ + aₙ) = 1/2n(2a₁ + (n - 1)d)
  • S₄₀ = 1/2*40(12*2 + 39*3) = 2820 seats

<u>Formula of nth term:</u>

  • aₙ = a₁ + (n - 1)d
  • aₙ = 12 + (n - 1)*3 = 12 + 3n - 3 = 3n + 9
  • aₙ = 3n + 9

6 0
3 years ago
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