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Alina [70]
3 years ago
13

Write the standard form of the equation of the circle with the given characteristics.

Mathematics
1 answer:
kati45 [8]3 years ago
4 0
(x – h)^2 + (y – k)^2 = r^2
<span>Where,
(h, k) is the center and </span><span>"r" is the radius.
Substituting the given values:

(x-4)^2 + (y+4)^2 = r^2
</span>
Now using the distance formula. 

<span>r = [(x2-x1)^2 + (y2-y1)^2]^1/2 
</span>
r = [(1 - 4)^2 + (0 + 4)^2]^1/2  
r = [(9+16)]^1/2
r = 25^1/2
r = 5

Substituting the values of r and the center into the main equation:

<span>(x-4)^2 + (y+4)^2 = 25</span>
You might be interested in
A rettangle is 10 inches smaller than it is wide. The perimeter of the
meriva

Answer:

A. Width = 25   Length = 15

Step-by-step explanation:

Length = L = Width - 10

Width = W

Perimeter of a rectangle

=> 2 (L + B) = 80

=> 2 (W - 10 + W) = 80

=> 2 (2W - 10) = 80

=> 4W -20 = 80

=> 4W -20 + 20 = 80 + 20

=> 4W = 100

=> 4W/4 = 100/4

=> W = 25

Width = 25

Length = 25 - 10 = 15

So, the answer is A.

6 0
4 years ago
A square has a perimeter of 39.6 millimeters. What is the length of each side?​
garri49 [273]

Answer:

9.9 millimeters

Step-by-step explanation:

To find the perimeter of a square,

Equation: 4 • length = P

So in this case, we're just working backwards. To find the length, divide.

39.6/4 = 9.9

3 0
2 years ago
Read 2 more answers
What is the domain of the function f(x) = 2x²/x²-9
aalyn [17]

Answer:

All numbers except x = 3 and x = - 3

Step-by-step explanation:

If x = 3 or x = - 3, the denominator would be 0.

5 0
3 years ago
Can u guys answer my question 13 and 14 pls
Alika [10]

Answer:

√2=1.414

then :√8 +2√32 +3√128+4√50

√8=√2³ =2√2

2√32=√2^5 = 4*2√2 = 8√2

3√128 = 3√2^6*2=8*3√2 =24√2

4√50 =4√5²*2= 20√2

add results : 2√2+8√2 +24√2+20√2=54√2

<h2>54√2=54×1.414=76.356 ( it is not in the options)</h2>

x=7-4√3

√x+ 1/√x

√(7-4√3) +1/√(7-4√3) =

(8-4√3)/√(7-4√3)

(8-6.93)/√(7-6.93) = 4 ( after rounded to the nearest whole number)

4 is your answer

3 0
3 years ago
I need to transpose the following equation to find the term (g)<br><br> V^2=2gh
nataly862011 [7]
v^2=2gh\\\\2gh=v^2\ \ \ \ |divide\ both\ sides\ by\ 2h\\\\\boxed{g=\frac{v^2}{2h}}
7 0
3 years ago
Read 2 more answers
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