Answer:
(x - 3)² + (y + 9)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given area = 25π , that is
πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r = = 5
With centre (h, k) = (3, - 9 ) and r = 5 , then
(x - 3)² + (y - (- 9) )² = 5² , that is
(x - 3)² + (y + 9)² = 25
Answer:
Step-by-step explanation:
The area of a rectangle can be found with the formula , where
is the length of the rectangle and
is the width.
From the given problem statement, we know that and
, so we can fill in those values in the formula anbd solve for
to get the width:
Divide both sides by to isolate
by itself:
Answer:
The two odd numbers are 15 and 17
Step-by-step explanation:
Given
<em>Let the odd numbers be represented with x and y</em>
<em>Let x be the greater number</em>
<em></em><em></em>
<em></em>
<em>Required</em>
Find x and y
Since x and y are consecutive odd numbers and x is greater, then
Substitute y + 2 for x in <em></em>
<em></em><em></em>
<em></em>
Collect Like Terms
<em></em><em></em>
<em></em><em></em>
Divide both sides by 6
Substitute 15 for y in
<em>Hence; the two odd numbers are 15 and 17</em>
Answer:
Step-by-step explanation:
The formula of the area of a triangle is . Plugging in the given base and height values, you get
. Hope this helps!