Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
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
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r =
= 10
Answer:
there would be 40 gold notebooks
Step-by-step explanation:
if the ratio is 5g to 3r i took the 24 red and divided it by 3 which gave me 8. I then multiplied 8 by 5 and got 40. so 40:24 is equal to 5:3
The answer is 15 square ft
Answer:
125 cm
Step-by-step explanation:
25 times 5 equals 125
Answer:
5 feet.
Step-by-step explanation:
i) Adam walks 3 feet north
ii) Betty walks 4 feet west.
iii) We know that the angle between north and west is 90 degrees.
iv) Therefore we can say that distance Adam walks is the height of a right
angled triangle and the distance that Betty walks is the base of the right
angled triangle.
v) Therefore by using Pythogoras's Theorem we can calculate the length of
the line between Adam and Betty as shown
length of line between Adam and Betty =
feet.