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Contact [7]
3 years ago
5

The equation of a circle is given below. (x − 5) 2 + ( y + 2 ) 2 = 81 4 (x−5) 2 +(y+2) 2 = 4/81 What is its center? Radius?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written in the form

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

where (h,k) is the center and r is the radius

(x − 5)^2 + ( y + 2 )^2 = 81/4

(x − 5)^2 + ( y - -2 )^2 = (9/2)^2

The center is (5, -2) and the radius is 9/2

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Write an equation for a line perpendicular to y=-4x-1 and passing through the point (-4,-3). Write in y=mx+b form
algol [13]
Y= 1/4x+b
-3= 1/4(-4) +b
-3= -1 +b
-2 = b

y=1/4x-2
7 0
2 years ago
On equal intervals, the y-values of a quadratic function have a common _________
Anettt [7]

Answer:

  second difference

Step-by-step explanation:

The differences of the y-values will differ by a common amount.

<u>Example</u>:

  y = x^2 for x = 2, 4, 6, 8

  y-values are 4, 16, 36, 64

  differences of these are 12, 20, 28

  differences of these differences are 8 and 8, a common value.

4 0
2 years ago
Read 2 more answers
Tell me if I’m right
insens350 [35]

Answer:

yesssirrr

Step-by-step explanation:

8 0
2 years ago
30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

#SPJ1

5 0
9 months ago
Y=0.2(4)x is it exponential growth or decay
Dmitry [639]

Answer:

growth

Step-by-step explanation:

This is of the form

y = ab^x  where a is the initial value and b is either growth or decay

if b > 1 then it is growth

b <1 it is decay

a = .2

b = 4

Since b>1 it is growth

5 0
3 years ago
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